when octane (c8h18) is burned in the presence of oxygen in a particular internal combustion engine, the yield of products (carbon dioxide and water) is 93%. what mass of carbon dioxide will be produced in this engine when 15.0 g of octane is completely burned? show your work.

Answers

Answer 1

When 15.0 g of octane is completely burned, approximately 46.17 g of carbon dioxide will be produced.

To calculate the mass of carbon dioxide ([tex]CO_{2}[/tex]) produced when 15.0 g of octane ([tex]C_{8} H_{18}[/tex]) is completely burned, we first need to determine the moles of octane consumed.

The molar mass of octane ([tex]C_{8} H_{18}[/tex]) can be calculated as follows:

C: 12.01 g/mol x 8 = 96.08 g/mol

H: 1.01 g/mol x 18 = 18.18 g/mol

Total molar mass of octane: 96.08 g/mol + 18.18 g/mol = 114.26 g/mol

Now, let's calculate the moles of octane:

15.0 g octane / 114.26 g/mol = 0.1312 mol octane

According to the balanced chemical equation for the combustion of octane:

[tex]C_{8} H_{18}[/tex]+ 12.5 [tex]O_{2}[/tex] -> 8 [tex]CO_{2}[/tex]+ 9 [tex]H_{2}O[/tex]

The stoichiometric ratio between octane and carbon dioxide is 1:8, which means that for every mole of octane burned, 8 moles of carbon dioxide are produced.

Therefore, the moles of carbon dioxide produced will be:

0.1312 mol octane x 8 mol [tex]CO_{2}[/tex]/mol octane = 1.0496 mol [tex]CO_{2}[/tex]

Finally, we can calculate the mass of carbon dioxide:

Mass of [tex]CO_{2}[/tex] = moles of [tex]CO_{2}[/tex] x molar mass of [tex]CO_{2}[/tex]

Mass of [tex]CO_{2}[/tex] = 1.0496 mol [tex]CO_{2}[/tex] x 44.01 g/mol = 46.17 g

Therefore, when 15.0 g of octane is completely burned, approximately 46.17 g of carbon dioxide will be produced.

Learn more about octane

https://brainly.com/question/31078384

#SPJ11


Related Questions

The rate constant for this first-order reaction is 0.970 s −1 at 400∘C. A⟶ products.. How long in seconds would it take for the concentration of A to decrease from 0.930 M to 0.260M

Answers

It would take approximately 1.982 seconds for the concentration of A to decrease from 0.930 M to 0.260 M.

To determine the time it takes for the concentration of A to decrease from 0.930 M to 0.260 M, we can use the first-order reaction rate equation:

ln([A]t/[A]0) = -kt

where [A]t is the final concentration (0.260 M), [A]0 is the initial concentration (0.930 M), k is the rate constant (0.970 s^(-1)), and t is the time we want to find.

Rearranging the equation to solve for t:

t = -(ln([A]t/[A]0))/k

Plugging in the values:

t = -(ln(0.260 M/0.930 M))/(0.970 s^(-1))

Calculating this using a calculator, the time t is approximately 1.982 seconds. Therefore, it would take approximately 1.982 seconds for the concentration of A to decrease from 0.930 M to 0.260 M.

To Know more about concentration , visit:

https://brainly.com/question/13872928

#SPJ11

what is the standard enthalpy of formation of liquid butyraldehyde, ch3ch2ch2cho(l)? ch3ch2ch2cho(l) o2(g) → 4h2o(l) 4co2(g); δh° = –2471.8 kj substance δh°f (kj/mol) co2(g) –393.5 h2o(l) –285.8

Answers

The standard enthalpy of formation of liquid butyraldehyde (CH3CH2CH2CHO(l)) is approximately -2717.2 kJ/mol.

To calculate the standard enthalpy of formation of liquid butyraldehyde (C4H8O(l)), we can use the given balanced equation and the standard enthalpies of formation for the products and reactants involved.

The balanced equation is:

CH3CH2CH2CHO(l) + O2(g) → 4H2O(l) + 4CO2(g)

From the equation, we can see that the stoichiometric coefficient of butyraldehyde is 1. This means that the enthalpy change of the reaction is equal to the standard enthalpy of formation of butyraldehyde (ΔH°f).

Using the given standard enthalpies of formation:

ΔH°f (CO2(g)) = -393.5 kJ/mol

ΔH°f (H2O(l)) = -285.8 kJ/mol

The enthalpy change of the reaction can be calculated as follows:

ΔH° = (4 * ΔH°f(H2O(l))) + (4 * ΔH°f(CO2(g)))

ΔH° = (4 * -285.8 kJ/mol) + (4 * -393.5 kJ/mol)

ΔH° = -1143.2 kJ/mol - 1574.0 kJ/mol

ΔH° = -2717.2 kJ/mol

Learn more about stoichiometric coefficient visit:

brainly.com/question/28213872

#SPJ11

Solve enthalpy of octyl acetate. Make it clear please,
thanks.

Answers

The enthalpy of octyl acetate is the amount of heat energy absorbed or released during the formation of octyl acetate from its constituent elements, namely octanol and acetic acid. Enthalpy refers to the total heat content of a system. Octyl acetate is an organic compound commonly used as a fragrance and flavoring agent.

To determine the enthalpy of octyl acetate, we need to calculate the difference in enthalpy between the products and the reactants. This can be done using the concept of Hess's Law or through experimental measurements using calorimetry. By measuring the heat changes involved in the reaction and applying appropriate equations, we can determine the enthalpy of formation for octyl acetate. The enthalpy value obtained will depend on the specific conditions under which the reaction is carried out, such as temperature and pressure.

To know more about Octyl acetate, visit:

https://brainly.com/question/31798919

#SPJ11

Organic molecules are defined as chemical compounds that contain a. strong hydrogen bonds. b. ionically bonded atoms. c. carbon and hydrogen. d. hydrophilic solutions. e. isotopes of carbon.

Answers

In summary, organic molecules are defined as chemical compounds that contain option c. carbon and hydrogen.

Organic molecules are defined as chemical compounds that contain carbon and hydrogen (option c). Let's break down the answer step by step:

1. Organic molecules: These are molecules that are primarily composed of carbon atoms bonded to hydrogen atoms. Carbon is a unique element that can form stable covalent bonds with other carbon atoms, as well as with hydrogen and other elements.

2. Chemical compounds: Organic molecules are a type of chemical compound. A chemical compound is a substance composed of two or more elements chemically bonded together. In the case of organic molecules, carbon and hydrogen are the primary elements involved.

3. Carbon and hydrogen: This option correctly identifies the key elements found in organic molecules. Carbon provides the structural backbone for the molecule, while hydrogen atoms often surround the carbon atoms.

Learn more About organic molecules from the given link

https://brainly.com/question/26556885

#SPJ11

draw the structure of the predominant form of ch3ch2nh3 (pka = 11.0) at ph = 14.

Answers

The predominant form of CH3CH2NH3 at pH = 14 will be the ionized form.

This is because at high pH, the solution is basic, and there are excess hydroxide ions. The hydroxide ions remove a proton from the ammonium ion, forming ammonia and water. The chemical equation for this reaction is as follows:CH3CH2NH3+ OH- → CH3CH2NH2 + H2O

The predominant form of CH3CH2NH3 at pH = 14 is CH3CH2NH2. This is the ionized form of the compound, which has lost a proton to become an amine. The structure of the predominant form of CH3CH2NH3 at pH = 14 is shown below:CH3CH2NH2

learn more about ionized form here

https://brainly.com/question/9830462

#SPJ11

Iron-59 (Fe-59) can be used to study and measure the rate of formation of red blood cells in the body and to determine whether the iron in the diet can be used properly by the body. Which of the following nuclear bombardment could produce Fe−59 ? A. Cr−55 (Chromium) bombarded by high energy alpha particle B. Co-59 (Cobalt) bombarded by high energy moving positron C. Mn-55 (Manganese) bombarded by high energy alpha particle D. Co-59 (Cobalt) bombarded by high energy moving beta particl

Answers

Iron-59 (Fe-59) can be produced by nuclear bombardment of manganese-55 (Mn-55) by high energy alpha particles.A nuclear reaction is a reaction that affects the nucleus of an atom.

This may involve adding particles, subtracting particles, or splitting the nucleus into smaller parts. Fe-59 is an iron isotope that can be used to investigate and quantify the rate of red blood cell formation in the body as well as the body's ability to utilize dietary iron. To generate Fe-59, manganese-55 (Mn-55) can be bombarded with high-energy alpha particles. Hence, the correct option is C. Mn-55 (Manganese) bombarded by high energy alpha particle.

To know more about bombardment please  click :-

brainly.com/question/28305310

#SPJ11

when the hydroboration oxidation of 2-methylbut-2-ene is carried out, the major product of the reaction will be a

Answers

The major product of the hydroboration oxidation of 2-methylbut-2-ene is 2-methylbutan-2-ol. The reaction involves the addition of borane to an alkene, which forms an alkylborane. The subsequent oxidation of the alkylborane yields the alcohol.

The mechanism of hydroboration-oxidation involves the addition of boron hydride (BH3) to an alkene to give the organoborane. Oxidation of the organoborane with hydrogen peroxide and sodium hydroxide yields the corresponding alcohol. It is a regioselective reaction, and the product is formed via anti-Markovnikov addition. The reaction occurs in a two-step process.

The addition of BH3 to an alkene is the first step in the reaction. Boron hydride forms an organoborane compound by donating a hydrogen atom to one of the carbon atoms of the double bond and bonding with the other carbon atom of the double bond. The reaction is shown below.

The second step is the oxidation of the organoborane with hydrogen peroxide and sodium hydroxide. The reaction is shown below.  Image attached below;

this is an example of how the reaction will take place.

learn more about Oxidation here

https://brainly.com/question/13182308

#SPJ11

If you have 140. mL of a 0.100
M HEPES buffer at pH 7.55 and you
add 3.00 mL of 1.00 M
HCl, what will be the new pH? (The pKa of
HEPES is 7.55.)
pH = ___ ?

Answers

To calculate the new pH of the HEPES buffer solution after adding Hydrochloric acid, we can use the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

Given that the pKa of HEPES is 7.55, we can substitute the values into the equation. Before the addition of HCl, the HEPES buffer is fully dissociated into its conjugate base (A-) and its acidic form (HA). The volume of the buffer solution is 140 mL, and the concentration of the HEPES buffer is 0.100 M.

Step 1: Calculate the number of moles of HEPES in the solution:

moles of HEPES = concentration × volume

moles of HEPES = 0.100 M × 140 mL

moles of HEPES = 0.100 mol/L × 0.140 L

moles of HEPES = 0.014 mol

Step 2: Calculate the number of moles of HCl added:

moles of HCl = concentration × volume

moles of HCl = 1.00 M × 3.00 mL

moles of HCl = 1.00 mol/L × 0.00300 L

moles of HCl = 0.003 mol

Step 3: Determine the new concentrations of HEPES and HCl:

The volume of the final solution is the sum of the initial volumes of the HEPES buffer and the added HCl:

Total volume = 140 mL + 3.00 mL = 143.00 mL = 0.143 L

The new concentration of HEPES can be calculated as:

new concentration of HEPES = moles of HEPES / total volume

new concentration of HEPES = 0.014 mol / 0.143 L

new concentration of HEPES = 0.098 M

The new concentration of HCl can be calculated as:

new concentration of HCl = moles of HCl / total volume

new concentration of HCl = 0.003 mol / 0.143 L

new concentration of HCl = 0.021 M

Step 4: Substitute the values into the Henderson-Hasselbalch equation:

pH = pKa + log([A-]/[HA])

pH = 7.55 + log(0.098/0.021)

Using a scientific calculator or mathematical software, we find:

pH ≈ 7.19

Therefore, the new pH of the HEPES buffer solution after adding 3.00 mL of 1.00 M HCl will be approximately pH 7.19.

To learn more about, Hydrochloric acid, click here, https://brainly.com/question/14519330

#SPJ11

Three alcohol bottles were mislabeled in the stockroom: 1-pentanol, 2-pentanol, and 3- pentanol. A clever student decided to using MS to determine the identity of the structures. Using the MS data, draw the structure of the compound found in each bottle. Bottle #1: Base peak with a m/z of 45 Bottle #2: Base peak with a m/z of 70 and two significant peaks with m/z of 42 and 31 Bottle #3: Base peak with a m/z of 59 I 1 1 1 1 1 Draw Structure in Bottle #1 1 I I 1 1 1 1 1 1 Draw Structure in Bottle #2 1 1 1 1 1 1 1 . Draw Structure in Bottle #3 1 1 1 1

Answers

Using the given MS data we can identify the structure of the compound in each bottle.Bottle #1: Base peak with a m/z of 45The base peak of Bottle #1 has a m/z of 45. The molecular weight of 1-pentanol is 88, which implies that the m/z ratio is the molecular weight of the molecule divided by the charge on it.

We know that the ion has a charge of +1, therefore 88/1 = 88, which is not the same as 45. Hence, the compound is not 1-pentanol. Furthermore, 1-pentanol does not contain a molecular fragment with a m/z of 45. As a result, Bottle #1 must include a compound other than 1-pentanol.Thus, we can conclude that the structure in Bottle #1 is not identifiable from the data provided.Bottle #2: Base peak with a m/z of 70 and two significant peaks with m/z of 42 and 31

The base peak of Bottle #2 has a m/z of 70, which is greater  than the molecular weight of 2-pentanol (74). Because the peak at m/z 70 is a base peak, it most certainly indicates the presence of the parent ion. Furthermore, the fragments at m/z 42 and 31 are significant. Thus, we can conclude that Bottle #2 contains 2-pentanol. The parent ion is 74+ and the fragments are CH3 (m/z 31) and C2H5O (m/z 42).

learn more about molecular weight

https://brainly.com/question/14596840

#SPJ11

A patient is to receive ¾ gr of codeine sulfate solution for pain PO q4h as needed. The availability is 30 mg per 1 mL. How much will the patient need for a whole day based on this order? Assume that the patient does not miss any doses and takes all doses as prescribed.

Answers

To calculate the total volume (in mL) of codeine sulfate solution the patient will need for a whole day based on the given order, we need to determine the number of doses taken in a day and then multiply it by the volume per dose.

Given: Patient is to receive ¾ gr (grain) of codeine sulfate solution.

The availability is 30 mg per 1 mL.

The patient takes the medication every 4 hours as needed (q4h).

First, let's convert the dose from grains to milligrams:

1 gr = 64.79891 mg

¾ gr ≈ 48.59918 mg

Next, let's calculate the number of doses in a day:

24 hours / 4 hours per dose = 6 doses

Now, we can calculate the total volume needed for a whole day:

Total volume = Volume per dose * Number of doses

Volume per dose = Dose / Concentration

Volume per dose = 48.59918 mg / 30 mg/mL

Volume per dose ≈ 1.61997 mL

Total volume = 1.61997 mL/dose * 6 doses

Total volume ≈ 9.71982 mL

Therefore, the patient will need approximately 9.71982 mL of codeine sulfate solution for a whole day, assuming the patient takes all doses as prescribed without missing any doses.

To learn more about, codeine sulfate solution, click here, https://brainly.com/question/32115571

#SPJ11

Draw out a complete mechanism for imine formation from the reaction of 4-iodoaniline will be 4-nitrobenzaldehyde. Be sure to include all appropriate arrows. This aryl imine synthesis was performed using 95:5 ethyl lactate: water (v/v) solvent the pH of the solvent is ~ 5.
With knowledge of the mechanism of imine formation answer the following:
a) if the reaction was performed in an HCl: ethyl lactate: water solvent system with a pH = 0 what would occur? Why?
b) if the reaction was performed in an NaOH: ethyl lactate: water solvent system at pH = 10 what would occur? Why?
c) if the reaction was performed in a 100% water solvent system would it work? Why or why not?

Answers

The complete mechanism for imine formation from the reaction of 4-iodoaniline and 4-nitrobenzaldehyde is given as follows:Since the aryl imine synthesis was performed using a 95:5 ethyl lactate: water (v/v) solvent system and the pH of the solvent is ~ 5, the following occurs. The reaction proceeds smoothly under acidic and basic conditions. Under acidic conditions, HCl will be the source of the proton and the nucleophilicity of 4-iodoaniline and 4-nitrobenzaldehyde will decrease. The reaction will be slow under acidic conditions and the yield of the product will decrease.On the other hand, the use of an NaOH:

ethyl lactate: water solvent system at pH = 10 will increase the nucleophilicity of 4-iodoaniline and 4-nitrobenzaldehyde and thus increase the rate of the reaction. This will result in the production of the desired product in high yield.The reaction will not work if it is performed in a 100% water solvent system because the imine formation requires the presence of a polar aprotic solvent. Since water is a polar protic solvent, it will not stabilize the intermediate and the imine will not form.

to know more about complete intake pls visit:

https://brainly.com/question/22944136

#SPJ11

four solutions are made by dissolving a certain amount of each of the four substances in 450. g water. if the freezing point of each aqueous solution is the same, which substance is added to water in the greatest amount, in grams? assume all ionic compounds dissociate 100% to form ions in solution.

Answers

Four solutions are made by dissolving a certain amount of each of the four substances in 450. g water. The substance that is added to water in the greatest amount is the one with the lowest molar mass.

The freezing point is the temperature at which the vapor pressure of a liquid equals the atmospheric pressure exerted on the liquid. This temperature represents the point at which the liquid turns into a solid.

Ionic compounds dissolve in water and dissociate into cations and anions. Therefore, they are able to change the freezing point of the solvent. The freezing point depression can be calculated using the following equation:

ΔT = Kf·m

where ΔT is the freezing point depression, Kf is the freezing point depression constant for the solvent (water in this case), and m is the molality of the solution.

The molality of a solution is defined as the number of moles of solute per kilogram of solvent. The amount of solute that is added to the solution can be calculated using the following formula:

m = n / (m solvent · w solvent)

where m is the molality of the solution, n is the number of moles of solute, m solvent is the molar mass of the solvent, and w solvent is the mass of the solvent in kilograms.

The four solutions have the same freezing point, which means that they have the same molality.

Therefore, the amount of solute that is added to the solution can be calculated using the following formula:

m = n / (m solvent · w solvent)

where m is the molality of the solution, n is the number of moles of solute, m solvent is the molar mass of the solvent, and w solvent is the mass of the solvent in kilograms.

The molality of the solution is the same for all four solutions, so the amount of solute added to the solution is inversely proportional to the molar mass of the solute.

Therefore, the substance that is added to water in the greatest amount is the one with the lowest molar mass.

Learn more about freezing point here :

https://brainly.com/question/2292439

#SPJ11

At standard pressure, water at what temperature will contain the most dissolved KNO3(s)?

Answers

The solubility of KNO3 in water varies with temperature. Generally, the solubility of most solid solutes in water increases with temperature, meaning that higher temperatures allow for more solute to dissolve.

However, there is a limit to how much solute can dissolve in a given amount of solvent.

In the case of KNO3, its solubility in water follows this trend, where higher temperatures lead to higher solubility. Therefore, to determine the temperature at which water will contain the most dissolved KNO3(s), we need to find the temperature at which KNO3 has its highest solubility in water.

The solubility of KNO3 in water at different temperatures can be found in a solubility table or by conducting experiments. By referring to such data, we can determine the temperature at which KNO3 reaches its maximum solubility in water.

learn more about solubility here

https://brainly.com/question/31493083

#SPJ11

Put the following short sequences of DNA in order by the number of hydrogen bonds they contain, from most to least: 1. GCG 2. TAT ATA CGC 0 3, 2, 1 0 1,3,2 O 1,2,3 0 2,3,1

Answers

The short sequences of DNA in order by the number of hydrogen bonds they contain, from most to least are as follows:1, 3, 2

The number of hydrogen bonds between the DNA base pairs determines the strength of the base pairing interaction between the two complementary strands of DNA. A single hydrogen bond forms between a purine base and a pyrimidine base in the DNA helix. Guanine (G) and cytosine (C) form three hydrogen bonds between them while adenine (A) and thymine (T) form two hydrogen bonds between them.

So, the given short sequences of DNA can be put in order based on the number of hydrogen bonds they contain as follows:

1. GCG (3 hydrogen bonds)

2. TAT (2 hydrogen bonds)

3. ATA CGC (1 hydrogen bond)

Therefore, the correct order is 1, 3, 2 which means that the short sequence that has the highest number of hydrogen bonds is GCG while the short sequence that has the lowest number of hydrogen bonds is ATA CGC.

Learn more about hydrogen bonds: https://brainly.com/question/31139478

#SPJ11

is a chain reaction more likely to occur in two separate pieces of uranium-235 or in the same pieces stuck together?

Answers

A chain reaction is more likely to occur in two separate pieces of uranium-235 than in the same pieces stuck together.

However, the chain reaction is more likely to occur in two separate pieces of uranium-235 than in the same pieces stuck together. The production of nuclear energy is facilitated by chain reactions in uranium fuel. When uranium-235 atoms absorb neutrons, they divide and release energy. When a neutron is absorbed by a uranium-235 atom, the uranium nucleus is broken down into two smaller nuclei, releasing a large amount of energy as heat and radiation in the process.

The product nuclei, on the other hand, are normally radioactive, and they may also absorb neutrons and divide, releasing additional neutrons and energy. A chain reaction occurs when the neutrons generated by the fission of one nucleus cause other fissions, generating more neutrons and additional energy as a result. This is the basis for the nuclear power plant's nuclear reactor.

learn more about uranium here

https://brainly.com/question/179933

#SPJ11

An aqueous feed of A and B (100 mmol A/liter; 200mmolB/ liter) is to be converted to product R in a plug flow reactor of volume 100 liters. The kinetics of the reaction is represented by A+B→R,−rA=200CACB mol /liter.min Find the maximum Feed Rate in liter/min to achieve a 99.99% conversion.

Answers

To determine the maximum feed rate in liters/minute to achieve a 99.99% conversion in the plug flow reactor, we need to consider the stoichiometry of the reaction and the given reaction rate expression.

The stoichiometry of the reaction A + B → R implies that the molar ratio of A to B in the feed is 1:2. Given that the feed concentrations are 100 mmol A/liter and 200 mmol B/liter, we have a total of 100 liters of feed (volume of the reactor). This means that there are 10,000 mmol (100 mmol A/liter * 100 liters) of A and 20,000 mmol (200 mmol B/liter * 100 liters) of B in the feed.

Now, we need to determine the maximum feed rate to achieve a 99.99% conversion. To do this, we can calculate the initial rate of reaction (rA0) based on the given reaction rate expression: -rA = 200CACB mol/liter/min.

At the maximum feed rate, when the conversion is 99.99%, the rate of reaction (rA) is essentially zero. Therefore, we can set -rA = 0 and solve for CACB:

0 = 200CACB

CACB = 0

This means that at the maximum feed rate, the concentrations of A and B in the reactor will be zero, indicating complete conversion.

To achieve a 99.99% conversion, the remaining concentration of A and B in the reactor should be negligible. Therefore, the feed rate should be high enough to ensure that the total moles of A and B in the feed (10,000 mmol + 20,000 mmol = 30,000 mmol) are consumed in a time period of 1 minute (since the reaction rate is expressed in mol/liter/min).

Therefore, the maximum feed rate to achieve a 99.99% conversion is 30,000 liters/minute.

To know more about Feed Rate, click here:-

https://brainly.com/question/31134071

#SPJ11

Drag each tile to the correct box.

Match each set of energy sublevels to the principal energy level that contains them.

s sublevel
s and p sublevels
s, p, and d sublevels
third energy level
arrowRight
first energy level
arrowRight
second energy level
arrowRight

Answers

Answer: s sub level ↔ first energy level

s and p sub levels ↔ second energy level

s, p, and d sub levels ↔ third energy level

Explanation:

As we know, s sub level is nearest to the nucleus and lies in 1st principal shell, while if we see s and p sub levels are lies in 2nd subshell and s,p and d sub levels are lies in 3rd principal shell.

At a certain concentration of reactants the rate of appearance of water in the following reaction is 0.55 M/s. HINT: Wotch the sign of the ratel 4NH3​+7O2​→4NO2​+6H2​O (A) What is the rate of reaction of O2​ ? (B) What is the rate of reaction of NH3​ ? M/s (C) What is the rate of reaction of NO2​ ? M/s M/s

Answers

Rate of reaction of O2 = (0.55 M/s) * (4/6) = 0.367 M/s. Rate of reaction of NH3 = 0.367 M/s. Rate of reaction of NO2 = 0.367 M/s. The rate of reaction of O2, NH3, and NO2 is all 0.367 M/s.

(A) To determine the rate of reaction of O2, we need to consider the stoichiometry of the balanced equation. From the equation 4NH3 + 7O2 → 4NO2 + 6H2O, we can see that 7 moles of O2 are consumed for every 4 moles of NO2 produced.

Since the rate of appearance of water is given as 0.55 M/s, which represents the rate of production of water, we can calculate the rate of reaction of O2 by multiplying the rate of water formation by the stoichiometric ratio of O2 to water:

Rate of reaction of O2 = (0.55 M/s) * (7/6) ≈ 0.64 M/s

(B) The rate of reaction of NH3 can be determined by looking at the stoichiometry of the balanced equation. As per the equation, 4 moles of NH3 are consumed for every 4 moles of NO2 produced. Since the rate of reaction of NH3 is equal to the rate of reaction of O2 (as seen from the stoichiometry), it is also approximately 0.64 M/s.

(C) Similarly, the rate of reaction of NO2 can be calculated based on the stoichiometry of the equation. For every 4 moles of NH3 consumed, 4 moles of NO2 are produced.

Therefore, the rate of reaction of NO2 is also approximately 0.64 M/s.

To know more about the rate of reaction, visit:

https://brainly.com/question/13693578

#SPJ11

which of the following solid metals will c3 (aq) spontaneously react with?

Answers

The reactivity of cations in solution with solid metals depends on their standard reduction potentials. Metals with lower reduction potentials than the reduction potential of C3⁺(aq) will spontaneously react with the cation.

To determine which solid metals will spontaneously react with the cation C3⁺(aq), the reduction potentials of the metals need to be considered.

The reactivity of a metal with a cation can be predicted by comparing their reduction potentials. A more reactive metal will have a more negative reduction potential and can displace a less reactive metal from its cation in solution.

To determine which solid metals will spontaneously react with C3⁺(aq), we need to compare the reduction potentials of the metals with the reduction potential of the C3⁺(aq) cation. Without the specific reduction potentials for the metals and the C3⁺(aq) cation, it is not possible to provide a definitive answer.

In general, metals with lower reduction potentials than the reduction potential of C3⁺(aq) will spontaneously react with the cation. However, the specific metals and their reduction potentials are required to make a conclusive determination.

Learn more about cations here :

https://brainly.com/question/32810390

#SPJ11

The KClO3 in a 0.1862 g sample of an explosive was determined by the reaction with 50.00 mL of 0.01162MFe2+ ClO3−+6Fe2++6H+→Cl−+3H2O+6Fe3+ When the reaction was complete, the excess Fe2+ was back titrated with 13.36 mL of 0.07654MCe4+. Calculate the percentage of KClO3 in the sample.

Answers

The percentage of KClO3 in the sample is approximately 11.24%.

To calculate the percentage of KClO3 in the sample, we need to determine the amount of KClO3 reacted and compare it to the initial mass of the sample.

First, let's calculate the amount of Fe2+ reacted with KClO3:

Moles of Fe2+ = (volume of Ce4+ solution) × (concentration of Ce4+ solution)

= 13.36 mL × 0.07654 M

= 1.02494 mmol

Since the stoichiometric ratio between KClO3 and Fe2+ is 1:6, the amount of KClO3 reacted is:

Moles of KClO3 = (moles of Fe2+) / 6

= 1.02494 mmol / 6

= 0.1708233 mmol

Next, let's calculate the mass of KClO3 reacted:

Mass of KClO3 = (moles of KClO3) × (molar mass of KClO3)

= 0.1708233 mmol × 122.55 g/mol

= 20.9366 mg

Finally, let's calculate the percentage of KClO3 in the sample:

Percentage of KClO3 = (mass of KClO3 / mass of the sample) × 100

= (20.9366 mg / 0.1862 g) × 100

= 11.2357%

Learn more about stoichiometric visit:

brainly.com/question/6907332

#SPJ11

What is the distance traversed by the particle between 0 seconds and 6 seconds

Answers

The distance travelled by the particle between 0 seconds and 6 seconds is 12 m

What is velocity?

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

From the question given above, the following data were obtained:

Time = 6 sVelocity = 2 m/sDisplacement =?

Velocity = displacement / time

The displacement of the object between 0 and 6 s is calculated as;

2 = displacement / 6

Cross multiply

Displacement = 2 × 6

Displacement = 12 m

Learn more about velocity here:

brainly.com/question/3411682

#SPJ1

A sample of gas at 990.9mmHg, occupying a volume of 10.22 L, and at a temperature of 25.42 C is transferred to a container of 7.54 L with a pressure of 96.24kPa. What is the new temperature in C ? Provide your answer with TWO decimals. Your Answer: Answer units A sample of argon gas at 59.66 C has a pressure of 81.18kPa and occupies 15.10 L. How many moles of argon gas are present? Provide your answer to TWO decimals. Your Answer: Answer units Calculate the density (in g/L ) of a compound if 11.56 g of a gas with a molar mass of 103.63 g/mol has a temperature of 2.04 C and pressure of 2228.0mmHg. Provide your answer to THREE decimals. Your Answer: Answer units

Answers

The new temperature in degrees Celsius, when a sample of gas at 990.9 mmHg, occupying a volume of 10.22 L and at a temperature of 25.42 °C, is transferred to a container of 7.54 L with a pressure of 96.24 kPa, is 97.57 °C.

To find the new temperature, we can use the combined gas law equation, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. By rearranging the equation and plugging in the given values, we can solve for the final temperature. Substituting the values, we find that the new temperature is approximately 97.57 °C.

Please note that the main answer and explanation are based on the information provided in the question and assumptions made about the gas being ideal and following the ideal gas law.

learn more about temperature here:

https://brainly.com/question/16710503

#SPJ11

The conversion of solid waste into harmless gases can be done in incinerators following an environmentally acceptable method. However, the hot exhaust gases often have to be cooled or diluted with air. A feasibility study Economic evidence indicates that municipal solid waste can be burned to produce a gas with the following composition (on a dry basis): CO2 9.2% CO 1.5% O2 7.3% N2 82.0% What is the enthalpy difference for this gas per Ib mol between the bottom and top of the stack if the temperature at the bottom is 290°C and the top is 95°C? Ignore the water vapor in the gas. You can also ignore the energetic effects resulting from the mixing of the gaseous components.

Answers

The enthalpy difference per lb-mol between the bottom and top of the stack for the given gas composition is approximately -95,859 J/mol.

To calculate the enthalpy difference, we can use the specific heat capacities of the individual components in the gas mixture and their respective mole fractions. Since the gas composition is provided on a dry basis and water vapor is ignored, we can focus on the mole fractions of CO2, CO, O2, and N2.

Given:

Temperature at the bottom of the stack (T1) = 290°C = 563 K

Temperature at the top of the stack (T2) = 95°C = 368 K

First, we need to calculate the enthalpy change for each component between the bottom and top temperatures. This can be done using the equation:

ΔH = C × (T2 - T1)

Where ΔH is the enthalpy change, C is the specific heat capacity, and (T2 - T1) is the temperature difference.

Next, we calculate the enthalpy difference for each component by multiplying the enthalpy change with the respective mole fraction. Then, we sum up the enthalpy differences for all components to obtain the total enthalpy difference.

For CO2:

ΔH_CO2 = C_CO2 × (T2 - T1) × mole fraction of CO2

For CO:

ΔH_CO = C_CO × (T2 - T1) × mole fraction of CO

For O2:

ΔH_O2 = C_O2 × (T2 - T1) × mole fraction of O2

For N2:

ΔH_N2 = C_N2 × (T2 - T1) × mole fraction of N2

Finally, we sum up all the enthalpy differences:

Enthalpy difference per lb-mol = ΔH_CO2 + ΔH_CO + ΔH_O2 + ΔH_N2

The specific heat capacities (C) for each component can be found in thermodynamic tables, and the mole fractions of each component are given in the problem statement. By substituting the values and performing the calculations, we find that the enthalpy difference per lb-mol between the bottom and top of the stack is approximately -95,859 J/mol.

To know more about enthalpy click here:

https://brainly.com/question/32882904

#SPJ11

for+5+points,+determine+the+actual+formula+for+a+c-h-cl-o+molecule.+14.52%+c,+1.83%+h,+64.3%+cl+&+19.35%+o.+formula+weight+is+497.

Answers

The actual formula for a C-H-Cl-O molecule with 14.52% C, 1.83% H, 64.3% Cl, and 19.35% O and a formula weight of 497 is C5H4Cl10O2.To find the formula for a molecule, we must first calculate the number of moles of each element present in a given weight of the compound. Then we can divide these mole values by the smallest of the mole values to find a simple ratio of atoms in the molecule.

We then use this ratio to get the empirical formula, which gives the simplest whole number ratio of atoms present in a molecule. Finally, we can find the molecular formula by multiplying the empirical formula by an integer (n) that will give the correct molecular weight of the compound when multiplied by the empirical formula weight given. Follow the steps given below to find the formula for C-H-Cl-O molecule with 14.52% C, 1.83% H, 64.3% Cl, and 19.35% O and a formula weight of 497:Firstly, determine the grams of each element present in the compound by using the percentage of each element.

That is, suppose 100 g of the compound is present, then the weights of each element present are as follows:Carbon (C): 14.52 gHydrogen (H): 1.83 gChlorine (Cl): 64.3 gOxygen (O): 19.35 gNext, convert the weight of each element into moles. This is done by dividing the weight of each element by its atomic weight. Atomic weights are as follows:Carbon (C): 12.01 g/molHydrogen (H): 1.01 g/molChlorine (Cl): 35.45 g/molOxygen (O): 16.00 g/molThe moles of each element present in the compound are as follows:Carbon (C): 14.52 g / 12.01 g/mol = 1.21 molesHydrogen (H): 1.83 g / 1.01 g/mol = 1.81 molesChlorine (Cl): 64.3 g / 35.45 g/mol = 1.81 molesOxygen (O): 19.35 g / 16.00 g/mol = 1.21 moles

learn more about empirical formula

https://brainly.com/question/1603500

#SPJ11

4. What part of the Amino Acid structure is affected by heat? (1 point)

Answers

Heat primarily affects the non-covalent interactions that stabilize the secondary, tertiary, and quaternary structures of proteins, leading to denaturation and loss of their functional conformation.

Heat can affect various aspects of the amino acid structure, including conformational changes and chemical modifications. The specific region affected by heat depends on the temperature and duration of exposure. Here, we will primarily focus on the heat-induced denaturation of proteins, which are composed of amino acids

Protein denaturation occurs when the heat disrupts the weak non-covalent interactions that stabilize the folded structure of the protein. These interactions include hydrogen bonds, ionic bonds, van der Waals forces, and hydrophobic interactions. As the temperature rises, the increased kinetic energy causes these interactions to weaken and eventually break, leading to the unfolding of the protein.

The primary structure of an amino acid, which consists of a central carbon atom (the alpha carbon) bonded to an amino group, a carboxyl group, a hydrogen atom, and a side chain (R-group), is generally not directly affected by heat. The covalent bonds within the amino acid molecule, including the peptide bonds between adjacent amino acids in a protein chain, are relatively stable and require higher temperatures or other harsh conditions to break.

However, the disruption of non-covalent interactions by heat can lead to changes in the secondary, tertiary, and quaternary structures of proteins. The secondary structure, such as alpha helices and beta sheets, are formed by hydrogen bonding between the backbone atoms of the amino acids. Heat can cause these hydrogen bonds to break, leading to the unfolding of the secondary structure.

Additionally, the tertiary structure, which involves the overall three-dimensional folding of a protein, can be affected by heat. The hydrophobic interactions and other non-covalent bonds responsible for stabilizing the folded conformation can be disrupted, resulting in the protein unfolding into a more extended and disordered state.

In summary, heat primarily affects the non-covalent interactions that stabilize the secondary, tertiary, and quaternary structures of proteins, leading to denaturation and loss of their functional conformation. The primary structure of amino acids, which is determined by the covalent bonds, is generally more resistant to the effects of heat.

for more questions on covalent

https://brainly.com/question/30396627

#SPJ8

according to the following reaction, how many moles of phosphoric acid will be formed upon the complete reaction of 32.3 grams of diphosphorus pentoxide with excess water ?diphosphorus pentoxide(s) water(l) phosphoric acid(aq)

Answers

The answer is "1.2". The balanced equation for the reaction is as follows: P4O10(s) + 6H2O(l) → 4H3PO4(aq)

To determine the number of moles of phosphoric acid that will be formed upon the complete reaction of 32.3 grams of diphosphorus pentoxide with excess water, we need to use stoichiometry.

What is stoichiometry?

Stoichiometry is a branch of chemistry that deals with the calculation of relative quantities of reactants and products in chemical reactions.

What is molar mass?

The mass of one mole of substance is known as its molar mass.

What is Avogadro's number?

The number of particles in one mole of substance is known as Avogadro's number and is equal to 6.022 x 1023.

In the given reaction:

Mass of diphosphorus pentoxide, P4O10 = 32.3 g

Number of moles of P4O10 = mass/molar mass= 32.3 g/(30.97 g/mol + 4 × 15.99 g/mol)= 0.3 mol

According to the balanced chemical equation:1 mol of P4O10 will give 4 mol of H3PO4

Therefore, 0.3 mol of P4O10 will give = 0.3 mol × 4 mol H3PO4/1 mol P4O10= 1.2 mol H3PO4

So, 1.2 moles of phosphoric acid will be formed upon the complete reaction of 32.3 grams of diphosphorus pentoxide with excess water.

Learn more about Stoichiometry: https://brainly.com/question/28780091

#SPJ11

(i) Describe two (2) methods of controlling odour emissions listing fundamental principles of the design. Define the type of odour emissions and source and provide diagram of the system. (ii) Define noxious pollutant. Provide three examples of a noxious pollutant and their sources. (iii) Describe what emission trading is, for what purpose it exists, how is it currently applied in at one jurisdiction

Answers

(i) Methods of Controlling Odour Emissions:

Chemical Scrubbers:

Chemical scrubbers are commonly used to control odour emissions. They operate by using a chemical solution to neutralize or absorb odorous compounds. The fundamental principles of design for chemical scrubbers include:

Contacting: The odorous air stream is brought into contact with the chemical solution, allowing the absorption or neutralization of odorous compounds.

Mass Transfer: The design ensures efficient mass transfer between the air stream and the chemical solution, maximizing the removal of odorous compounds.

Reaction Chemistry: The selection of appropriate chemical solutions depends on the specific odorous compounds. Reactions such as oxidation, neutralization, or chemical adsorption may be employed to eliminate odours.

Scrubber Design: The design of the scrubber system includes components such as a packed bed or spray tower, where the contact between the air stream and chemical solution occurs. The system is designed to achieve optimal contact time and efficient removal of odours.

Biofiltration:

Biofiltration is an environmentally friendly method for controlling odour emissions. It utilizes microorganisms present in a biofilter media to biologically degrade odorous compounds. The fundamental principles of design for biofiltration include:

Media Selection: The biofilter media is carefully chosen to provide a suitable habitat for the microorganisms responsible for odour degradation. Common media include compost, wood chips, or synthetic materials with high porosity.

Moisture and Nutrient Control: Maintaining appropriate moisture levels and providing necessary nutrients for microbial growth are crucial for the efficient performance of biofilters.

Residence Time: The design ensures sufficient residence time for the odorous air stream within the biofilter, allowing enough contact time for microbial activity to degrade the odorous compounds.

Oxygen Supply: Sufficient oxygen supply is maintained within the biofilter to support the aerobic microbial degradation process.

System Monitoring and Control: Monitoring parameters such as temperature, moisture content, and airflow rates ensures optimal conditions for microbial activity and effective odour removal.

Diagram of a Biofiltration System:

lua

               +-------------------------+

               |                         |

Odorous Air -->|   Biofilter Media       |

               |                         |

               +-------------------------+

               |        Exhaust          |

               +-------------------------+

(ii) Noxious Pollutant:

A noxious pollutant refers to a harmful or toxic substance released into the environment, causing adverse effects on human health, ecosystems, or property. Examples of noxious pollutants and their sources include:

Sulfur Dioxide (SO2): It is emitted from burning fossil fuels, particularly coal and oil in power plants, industrial processes, and vehicles. SO2 contributes to respiratory issues, acid rain formation, and damages vegetation.

Nitrogen Oxides (NOx): NOx is produced during high-temperature combustion, primarily from vehicles, power plants, and industrial processes. It contributes to smog formation, respiratory problems, and contributes to the formation of acid rain.

Volatile Organic Compounds (VOCs): VOCs are emitted from various sources such as solvents, paints, vehicle emissions, and industrial processes. They are precursors to the formation of ground-level ozone, a major component of smog, and can have detrimental health effects.

(iii) Emission Trading:

Emission trading, also known as cap and trade, is an environmental policy tool designed to reduce overall emissions of pollutants. It exists to promote the efficient allocation of emission reductions among polluting entities. The basic principle of emission trading is to create a market where emission allowances or credits are bought and sold.

Under emission trading, a government or regulatory authority sets a cap on the total amount of emissions allowed within a specific jurisdiction. Polluting entities are allocated a certain number of.

To know more about Controlling Odour Emissions click this link -

brainly.com/question/31840307

#SPJ11

An aqueous solution contains 0.27M ammonium perchlorate. One Liter of this solution could be converted into a buffer by the addition of: (Assume that the volume remains constant as each substance is added.) 0.13 molHCl 0.27 molHCl 0.065 molBa(OH) 2, 0.26 molKCl4, 0.26 molNH3 The maximum amount of lead fluoride that will dissolve in a 0.218M lead nitrate solution is M.

Answers

Answer:

Explanation:

An aqueous solution contains 0.27M ammonium perchlorate. One Liter of this solution could be converted into a buffer by the addition of: (Assume that the volume remains constant as each substance is added.) 0.13 molHCl 0.27 molHCl 0.065 molBa(OH) 2, 0.26 molKCl4, 0.26 molNH3 The maximum amo

arrange the compounds from highest melting point to lowest melting point. answer bank: rbi, naf, ch3ch2oh

Answers

The compounds arranged from highest melting point to lowest melting point are CH3CH2OH, NaF, and RBI.

The melting point of a compound is influenced by factors such as the strength and type of intermolecular forces present. In this case, CH3CH2OH (ethanol) has the highest melting point among the given compounds. Ethanol has hydrogen bonding between its molecules, which is a strong intermolecular force.

Next is NaF (sodium fluoride), which has an ionic bond between sodium and fluoride ions. Ionic compounds tend to have high melting points due to the strong electrostatic attraction between oppositely charged ions.

RBI (which is not a recognized compound) is expected to have the lowest melting point among the given options. Without specific information about RBI, it is challenging to determine its properties accurately.

Learn more about ionic bond here:

https://brainly.com/question/29772028

#SPJ11

which classification best describes gold?question 1 options:heterogeneous mixturesolutioncompoundelement

Answers

Gold is an element that belongs to the periodic table.Elements are the simplest form of substances that can exist, and they cannot be divided into simpler substances by chemical methods. Each element is defined by the number of protons present in the atomic nucleus.

Gold is an element that has 79 protons and is represented by the symbol Au.Gold has several properties that distinguish it from other elements. It is a soft, shiny, dense metal with excellent conductivity. Gold is also a noble metal, meaning it is resistant to corrosion and oxidation and does not react with most acids. Its properties have made it useful for many purposes, including jewelry, currency, and electronics.

Heterogeneous mixtures contain two or more substances that are not uniformly distributed and can be separated by physical means. Solutions are homogeneous mixtures composed of a solute dissolved in a solvent. Compounds are substances composed of two or more elements chemically combined in a fixed ratio. Thus, none of these classifications accurately describes gold.

learn more about homogeneous mixtures

https://brainly.com/question/9799840

#SPJ11

Other Questions
Subject: Intro to astrophysics, Black holes Arrive to theanswer,How close, in Rs terms, do you have to be to a 3Msun black hole?so that the watch you wear runs 10% slower than a watch you wear isv Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)f(x) = 5/1+x`, a=2 find the specified probability. round your answer to four decimal places, if necessary.p(0 correct answer pleaseBridgeport Inc, a fertilizer company based in Calgary, had the following information in its financial statements for the fiscal year! ended December 31. All fugures are in millions of dollars.Calcul all parts21. (a) Can the circuit shown in Figure P27.21 be reduced to a QC single resistor connected to a battery? Explain. Calculate the currents (b) I, (c) I, and (d) I. 24.0 V 12.0 V- 2.00 W 4.00 Define RR as the region bounded above by the graph of f(x)=x2f(x)=x2 and below by the x-axisx-axis over the interval [0,1].[0,1]. Find the volume of the solid of revolution formed by revolving RR around the line x=2. tommy A 27 year old tennis player presents to your office complaining of right elbow pain that limits his serves. During your initial examination you note some hypo-mobility at the elbow joint. Patient's active ROM is noted below Mexion: 145, Extension: 5", Supination: 90", Pronation : 80 Based on your knowledge, inducing which of the following movements will most likely assist this patient? Oa. Anterior rom/posterior pide of the radiun ever the una Ob. posterior roll anterior glide of the radius over the turnerus Oc. Posterior rolamentor glide or the oth over the radius Od. Anterior ro/anterior glide of the radius over the humerus Which of the following is an example of an adverse supply shock?a nationwide drought lasting for many monthsan outbreak of war among several of the Middle Eastern oil-producing countriesan influenza virus that affects 50 percent of the labor force for two weeksa, b, and cnone of the above Evaluate EdV where E is the solid enclosed by the ellipsoid a 2x 2+ b 2y 2+ c 2z 2=1 Using the transformation x=au,y=bv, and z=cw. 1.2 Kg/s of H2O at 3 MPa and 400 C is expanded in an adiabatic turbine to 30 KPa. Determine the power output if the isentropic efficiency of the turbine is 0.92? Create a monitoring plan for your fictitious restorationproject for planting trees in the boreal rainforest which describes a brand name? responses a guarantee of return or service a guarantee of return or service a particular company associated with a product a particular company associated with a product pay earned by salespeople for making sales pay earned by salespeople for making sales money charged for a returned item Our insured was a registered nurse (RN) employed by a home healthcare agency. She was with a patient when she received a telephone call from a certified nursing assistant (CNA) who was employed at the same agency.The CNA was at the home of a mutual patient and reported that her gastrointestinal (GI) tube had come out sometime during the night. The RN informed the CNA that the patient would need to go to the emergency department to have the tube re-inserted as it would be several hours before she could see the patient. The patients family didnt want to take the patient to the emergency department but would instead wait for the RN to see the patient.The CNA informed the RN that she had re-inserted several GI tubes when she was employed at a nursing home, so felt comfortable re-inserting this patients tube. The RN agreed to let the CNA insert the tube but advised her to not restart the feedings.Approximately 45 minutes later, the CNA contacted the RN and affirmed that tube was re-inserted without difficulty and proper placement was confirmed.When the nurse arrived at the patients home several hours later, she noticed that the patient was receiving tube feeding. When questioned, the daughter confirmed that she resumed the tube feedings shortly after the CNA left and denied being told to wait. The RN noted that the patient was complaining of abdominal pain and reported feeling nauseous.On physical assessment, the patients abdomen was distended and positive for pain with abdominal palpation. After stopping the feeding, the nurse called 911 and the patient was transferred to the nearest hospital where she was diagnosed with peritonitis due to the GI tube being accidentally placed in the peritoneal space.The family filed a lawsuit against the RN and the home healthcare agency.The allegations against the RN included:Wrongful delegation of patient care to unlicensed assistive personnel (e.g. CNA);Failure to follow the agencys policies and procedures on proper delegation, GI tube insertion and supervision of unlicensed assistive personnel;Failure to contact the referring provider and obtain an order to reinsert the GI tube; andFailure to assure that the patient and family had received appropriate communication related to re-inserting the GI tube and holding the GI feedings.Write a two-page summary (plus a title page and a references page) of the case, including details of the case, the case outcomes, your analysis of the case, and the ethical principle that applies to the case. water loss can occur from each, except one. which is the exception? group of answer choices respiration inflammation strenuous exercise diarrhea perspiration metabolism of fat The physical examination records of the entire incoming freshman class of 1999 at the University of Findlay were examined in 2007 to see if their recorded height and weight at the time of admission to the university was related to the development of high blood pressure by 2017. This is an example of Cross-sectional study Prospective cohort study Case control study Retrospective cohort study Experimental study 0 points Question 3 In a study begun in 1975, a group of 9,000 adults in Atlanta, Georgia were asked about burger consumption. The occurrence of cases of cancer between 1981 and 1995 was studied in this group. This is an example of Cross-sectional study Prospective cohort study Case control study Retrospective cohort study Clinical trial Please do it ASAP pleaseIt's urgent!kgm Q5 (10 scores) Choose body frame as the computing frame, derive the Euler's dynamic equation. Note: 1. Generally, there is no space left for answering the questions on the paper used for setting Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y=ln(x) and y=x ^3-8The intersection points of the given curves occur at x (Use a comma to separate answers as needed. Round to six decimal places as needed.) can you expand explaining. Thank youHow does the development of writing help the development ofscience? Which of the following does NOT correctly identify the contribution of the related art historian?a) Petrarch grouped works of art into artistic periods based on common characteristicsb) Giorgio Vasari biographical model of art historyc) Pliny the Elder developed modern critical theory of artd) Johann Winckelmann first to propose that works of art should be studied in context what social groups exists in all known cultures