Chemical kinetics; integrated law for second order reactions

Answers

Answer 1

The overall order of a reaction is equal to the sum of the exponents in the rate law. For a second-order reaction, the overall order is 2.

Chemical kinetics is the study of chemical reactions and their rates, including how quickly or slowly they proceed. The integrated rate law for a second-order reaction is given by the equation:1/[A]t = kt + 1/[A]0Where [A]t is the concentration of reactant A at time t, k is the rate constant for the reaction, and [A]0 is the initial concentration of A. This equation shows that the inverse of the concentration of A at any given time is linearly related to time. Thus, if a plot of 1/[A]t vs. time is linear, then the reaction is second-order.In a second-order reaction, the rate of the reaction depends on the concentration of two reactants or one reactant squared. The rate law for a second-order reaction is expressed as follows:rate = k[A]²where [A] represents the concentration of one of the reactants and k is the rate constant. The overall order of a reaction is equal to the sum of the exponents in the rate law. For a second-order reaction, the overall order is 2.

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Related Questions

What is the molar concentration (molarity) of a solution made by dissolving 0.415 moles of CaCl2(s) in just enough water to form 1.1 liters of solution

Answers

The Molarity of the given solution made by disbanding 0.415 moles of 1.1 liters of water is 0.377 M.

The number of moles = 0.415 moles

Compound given = [tex]CaCl_2[/tex]

Volume = 1.1 liters

To find the molarity of the given solution, we need to split the number of moles of solute by the volume of the solution in liters. The formula used here is:

Molarity (M) = Moles of solute ÷ Volume of solution

substituting the values:

Molarity = 0.415 moles / 1.1 liters

Molarity = 0.377 mol/L

Therefore, we can conclude that the molar concentration of the solution is 0.377 M.

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In some chemical reactions, one species loses electrons by transferring them to another species.


a. True

b. False

Answers

I’m pretty sure the answer is true:) hope this helped!

What is the name of the information sheet that describes the physical and chemical properties of a product and contains useful information such as flash point, toxicity, and procedures for spills and leaks

Answers

The information sheet that describes the physical and chemical properties of a product and contains useful information such as flash points, toxicity, and procedures for spills and leaks is commonly known as a Safety Data Sheet (SDS).

The SDS provides detailed information about the hazards, handling, storage, and emergency measures related to a specific chemical or product. It is an important document for ensuring the safety and proper handling of substances in various settings, including workplaces and industrial environments.

This document is very essential to understand the handling of a certain chemical.

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H3PO4 + Ca(OH)2 ----> H2O + Ca3(PO4)2



If 10. 3g of Ca(OH)2 reacts wit 10. 3g of H3PO4, How much water is made?

Answers

6.24 g of water is made If 10. 3g of Ca(OH)2 reacts with 10. 3g of H3PO4. In the given chemical equation, H3PO4 reacts with Ca(OH)2 to produce water (H2O) and Calcium phosphate (Ca3(PO4)2).

The balanced chemical equation is:

2H3PO4 + 3Ca(OH)2 -> Ca3(PO4)2 + 6H2O

From the equation, we can see that 2 moles of H3PO4 reacts with 3 moles of Ca(OH)2 to produce 6 moles of water. Therefore, the mole ratio of H3PO4 to Water is 2:6 or 1:3.

First, let's calculate the number of moles of Ca(OH)2 present in 10.3g.

Molar mass of Ca(OH)2 = 74.1 + 2(16.0) + 2(1.0) = 74.1 + 32.0 + 2 = 108.1 g/mol

Number of moles of Ca(OH)2= 10.3g / 108.1 g/mol = 0.0953 mol

Since 2 moles of H3PO4 reacts with 3 moles of Ca(OH)2, the number of moles of H3PO4 required for the reaction can be calculated as follows:

0.0953 mol Ca(OH)2 * (2 mol H3PO4/3 mol Ca(OH)2) = 0.0635 mol H3PO4

The molar mass of H3PO4 = 3(1.0) + 30.9 + 4(16.0) = 98.0 g/mol

Mass of H3PO4 = 0.0635 mol  * 98.0 g/mol = 6.22 g

Since the mole ratio of H3PO4 to water is 1:3, the number of moles of water produced in the reaction is:

0.0635 mol H3PO4 * (6 mol H2O/2 mol H3PO4) = 0.1905 mol H2O

Finally, we can calculate the mass of water produced using the molar mass of water:

Mass of H2O = 0.1905 mol * 18.0 g/mol = 3.43 g

Therefore, 6.24g of water will be made.

When 10.3g of Ca(OH)2 reacts with 10.3g of H3PO4, 6.24g of water is produced according to the given balanced equation. The calculation involves finding the number of moles of Ca(OH)2, determining the number of moles of H3PO4 required for the reaction using mole ratio, calculating the number of moles of water produced using mole ratio, and finally calculating the mass of water produced.

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Describe how pieces of a whole object of solid matter can add up to more than one whole object.​

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Pieces of a whole object of solid matter can add up to more than one whole object through the process of fragmentation or division.

When a solid object is broken or divided into smaller pieces, each piece retains its own individual identity and properties. Although the individual pieces may not be equivalent to the original whole object in terms of size or shape, collectively they still possess the same amount of matter or substance.

For example, if a solid object is broken into two equal pieces, each piece will have half the mass and volume of the original object. Therefore, when you add up the masses and volumes of the two pieces, it will be greater than the mass and volume of the original object. This principle applies to larger divisions as well, where the total mass and volume of the individual pieces will always be equal to or greater than the mass and volume of the original whole object.

In summary, when a solid object is fragmented or divided into smaller pieces, the total amount of matter or substance remains the same. Each piece retains its own individual identity and properties, and collectively, the sum of the masses and volumes of the pieces can add up to more than one whole object. This is due to the conservation of mass and volume.

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A gaseous mixture of O2 and N2 contains 31.8 % nitrogen by mass. What is the partial pressure of oxygen in the mixture if the total pressure is 485 mmHg

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The partial pressure of oxygen in the gaseous mixture is approximately 334.43 mmHg.

What is the oxygen partial pressure?

The given gaseous mixture contains 31.8% nitrogen by mass. To find the partial pressure of oxygen, we can first determine the mass percentage of oxygen in the mixture. Since the sum of the mass percentages of all components in a mixture is 100%, we subtract the mass percentage of nitrogen from 100% to obtain the mass percentage of oxygen.

Mass percentage of oxygen = 100% - 31.8% = 68.2%

Next, we can calculate the partial pressure of oxygen using Dalton's law of partial pressures. According to Dalton's law, the partial pressure of each gas in a mixture is directly proportional to its mole fraction.

Since the total pressure is 485 mmHg, the partial pressure of oxygen can be calculated as follows:

Partial pressure of oxygen = Total pressure × Mole fraction of oxygen

The mole fraction of oxygen can be determined using the mass percentages and molar masses of oxygen and nitrogen:

Mole fraction of oxygen = Mass percentage of oxygen / Molar mass of oxygen

Mole fraction of nitrogen = Mass percentage of nitrogen / Molar mass of nitrogen

The molar mass of oxygen (O₂) is 32 g/mol, and the molar mass of nitrogen (N₂) is 28 g/mol.

Now, we can substitute the values into the equation:

Partial pressure of oxygen = 485 mmHg × (68.2 g / (32 g/mol)) / ((31.8 g / (28 g/mol)) + (68.2 g / (32 g/mol)))

Simplifying the equation gives us:

Partial pressure of oxygen ≈ 334.43 mmHg

Dalton's law of partial pressures states that in a mixture of non-reacting gases, the total pressure exerted by the mixture is equal to the sum of the partial pressures of each individual gas. This law is based on the assumption that the gases behave ideally, meaning they follow the ideal gas law. According to Dalton's law, the partial pressure of a gas is directly proportional to its mole fraction, which is the ratio of the number of moles of that gas to the total number of moles in the mixture. By applying Dalton's law and using the given information on mass percentages, we were able to calculate the partial pressure of oxygen in the gaseous mixture.

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The concentration of dye in Solution A is 21.729 M. You have 13 mL of water at your disposal to make the dilutions. The solution is diluted twice, to make Solutions B and C. In the first dilution, 4 parts of Solution A is diluted with 12 parts water to make Solution B. In the second dilution, 6 parts of Solution B is diluted with 4 parts water to make Solution C. What is the concentration of dye in Solution C

Answers

The concentration of dye in solution C was calculated to be 3.839 M.

Dilution is when the extra solvent is added to a solution without increasing the solute concentration. The dilution factor is an expression that describes the ratio of the aliquot to the final volume of the solution. The final solution should be well mixed to make sure that all components are the same.

The dilution factor is a factor used to dilute the stock solution.

Given the concentration of dye in solution A=21.729 M

Solution B-  Dilution factor = DF1 = final volume/aliquot volume

DF1 = 16/4 = 4

Solution C- Dilution factor = DF2 = 10/6 = 1.66

So the total dilution factor = DF1 + DF2 = 4 + 1.66 = 5.66

So the concentration of dye in solution C is calculated as

The concentration in solution A/ DF = 21.729/5.66= 3.839 M

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Light of wavelength 242 nm ionizes a sodium ion in the gas phase; what is the ionization energy of sodium

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The ionization energy of sodium can be determined using the equation:

Ionization energy = (hc) / λ

Where:

h = Planck's constant (6.626 x 10^-34 J s)

c = speed of light (3.00 x 10^8 m/s)

λ = wavelength of light (in meters)

Converting the wavelength of light to meters:

242 nm = 242 x 10^-9 m

Substituting the values into the equation:

Ionization energy = (6.626 x 10^-34 J s * 3.00 x 10^8 m/s) / (242 x 10^-9 m)

Calculating the ionization energy:

Ionization energy ≈ 8.19 x 10^-19 J

The ionization energy of sodium is approximately 8.19 x 10^-19 J.

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A dihalide in which the halogens are attached on the same carbon is called a _______________ dihalide.

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A dihalide in which the halogens are attached on the same carbon is called a geminal dihalide. A geminal dihalide is a type of organic compound that contains two halogens attached to the same carbon atom. It is also known as vicinal dihalide, and these dihalides are classified as alkanes.

A halogen is a chemical element that belongs to Group 17 of the periodic table. They are highly reactive nonmetals, which is why they are never found alone in nature. Instead, they are always found combined with other elements. The common halogens include fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (At).

For example, dichloromethane is a geminal dihalide with two chlorine atoms attached to the same carbon atom. The molecular formula for dichloromethane is CH₂Cl₂, and it is a colorless, volatile liquid with a sweet, penetrating odor. It is used as a solvent in many organic chemistry labs.

Hence, a dihalide in which the halogens are attached on the same carbon is called a geminal dihalide.

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Please help!



1. A gas sample has a volume of 150 mL when the pressure is 175 kPa. If the temperature and amount of gas remains constant, what volume will the gas sample occupy at a pressure of 120 kPa?







2. A 650 mL sample of gas is collected at a room temperature of 300C. What volume will the sample have at 0. 00C assuming the pressure of the gas remains constant?







3. An aerosol can of hair spray is filled to a pressure of 50. 0 psi at a room temperature of 25. 00C. Calculate the pressure inside the can if the can is placed in boiling water.







4. A balloon has a volume of 400. 0 mL at a pressure of 600. 0 mm Hg. Calculate the volume the balloon would have at standard atmospheric pressure if the temperature remains constant.







5. A car tire has a pressure of 30. 0 psi at a temperature of 27. 00C. Calculate the extremes of pressure caused by temperatures ranging from –20. 00C (-4. 000F) on a cold winter day to 50. 00C (1220F) while being driven on a hot summer day.







6. A gas sample has a volume of 480 mL at a temperature of 370C and a pressure of 95. 5 kPa. What volume would the gas occupy at STP?







7. If you collect 1. 75-L of Hydrogen gas during a lab experiment, when the room temperature is 230C and the barometric pressure is 105 kPa, how many moles of hydrogen will you have?







8. What volume of gas would you expect to get from a 1. 5-mole sample at 350C and 1. 12 atm?

Answers

P1/T1 = P2/T2, where P1 = 50.0 psi, T1 = 25.00C = 298 K, P2 is the unknown pressure and T2 = 100.00C = 373 K. We can solve for P2 by substituting the values in the equation. 50.0/298 = P2/373, P2 = 62.6 psi.4.

1. According to Boyle's law, pressure is inversely proportional to volume. Hence,P1V1 = P2V2, where P1 = 175 kPa, V1 = 150 mL, P2 = 120 kPa and V2 is the unknown volume of the gas. We can solve for V2 by substituting the values in the equation. 175(150) = 120(V2),  V2 = 218.18 mL2. According to Charles's law, volume is directly proportional to temperature when pressure is constant. Hence,V1/T1 = V2/T2, where V1 = 650 mL, T1 = 300 C = 573 K, V2 is the unknown volume and T2 = 0 C = 273 K. We can solve for V2 by substituting the values in the equation. 650/573 = V2/273, V2 = 291.4 mL.3. According to Gay-Lussac's law, pressure is directly proportional to temperature when volume is constant. Hence,P1/T1 = P2/T2, where P1 = 50.0 psi, T1 = 25.00C = 298 K, P2 is the unknown pressure and T2 = 100.00C = 373 K. We can solve for P2 by substituting the values in the equation. 50.0/298 = P2/373, P2 = 62.6 psi.4.

According to Boyle's law, pressure is inversely proportional to volume. Hence,P1V1 = P2V2, where P1 = 600.0 mm Hg, V1 = 400.0 mL, P2 = 760.0 mm Hg (standard atmospheric pressure) and V2 is the unknown volume of the gas. We can solve for V2 by substituting the values in the equation. 600.0(400.0) = 760.0(V2), V2 = 315.8 mL.5. According to Gay-Lussac's law, pressure is directly proportional to temperature when volume is constant. Hence,P1/T1 = P2/T2, where P1 = 30.0 psi, T1 = 27.00C = 300 K, P2 is the unknown pressure and T2 ranges from -20.00C = 253 K to 50.00C = 323 K.

To calculate the minimum pressure, we substitute the values of P1, T1 and T2 = 253 K in the equation. 30.0/300 = P2/253, P2 = 25.3 psi. To calculate the maximum pressure, we substitute the values of P1, T1 and T2 = 323 K in the equation. 30.0/300 = P2/323, P2 = 32.4 psi. Hence, the extremes of pressure are 25.3 psi and 32.4 psi.6. To solve this problem, we need to use the combined gas law, which states that P1V1/T1 = P2V2/T2, where P1 = 95.5 kPa, V1 = 480 mL, T1 = 37 0C = 310 K, P2 = 101.3 kPa (pressure at STP) and V2 is the unknown volume of the gas. We can solve for V2 by substituting the values in the equation. 95.5(480)/(310) = 101.3(V2)/(273), V2 = 353 mL.7. We can use the ideal gas law, PV = nRT, to solve for the number of moles of hydrogen. P = 105 kPa, V = 1.75 L, T = 23 0C = 296 K, R = 8.314 J/mol K (universal gas constant) and n is the unknown number of moles of hydrogen. We need to convert the pressure from kPa to Pa. P = 105 × 103 Pa. We can solve for n by substituting the values in the equation. (105 × 103) × (1.75)/(8.314 × 296) = 0.0897 mol.8. We can use the ideal gas law, PV = nRT, to solve for the volume of gas. P = 1.12 atm, V is the unknown volume, T = 35 0C = 308 K, R = 0.0821 L atm/mol K (gas constant) and n = 1.5 moles. We need to convert the pressure from atm to Pa. P = 1.12 × 101325 Pa. We can solve for V by substituting the values in the equation. (1.12 × 101325) × V = 1.5 × 0.0821 × 308, V = 45.5 L.

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What is the use of calcium compounds in building materials such as cement mortar,gypsum and marble

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Calcium compounds, such as calcium oxide, calcium hydroxide, and calcium carbonate, are widely used in building materials like cement mortar, gypsum, and marble.

Calcium compounds play essential roles in various building materials. In cement mortar, calcium oxide (quicklime) is a key component. When water is added to cement, it undergoes a chemical reaction called hydration, producing calcium hydroxide. This reaction contributes to the hardening and setting of the mortar, providing strength and stability to structures.

Gypsum, a calcium sulfate compound, is used in construction for its unique properties. When gypsum is mixed with water, it forms a paste that can be shaped and molded. As the water evaporates, the gypsum solidifies, resulting in a rigid and fire-resistant material. Gypsum is commonly used in the production of plasterboards, interior walls, and ceilings due to its soundproofing and insulation capabilities.

Marble, a metamorphic rock, primarily consists of calcium carbonate. The presence of calcium carbonate gives marble its characteristic strength and durability. Additionally, the crystalline structure of marble contributes to its attractive appearance, making it a popular choice for flooring, countertops, and decorative elements in buildings.

In summary, calcium compounds play crucial roles in building materials. They contribute to the strength, durability, and aesthetic properties of cement mortar, gypsum-based products, and marble, making them essential components in construction and architectural applications.

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The density of amorphous polyethylene is estimated to be 0.855 g/cm3 at 25 °C by extrapolating values from above the melting point. Use this value and your answer to Problem 4.2 to estimate (a) the degree of crystallinity of a 0.93 g/em polyethylene sample, and (b) the density of a 72% crystalline polyethylene sample.

Answers

a) the degree of crystallinity of a 0.93 g/em polyethylene sample is 69.4%.

b) the density of a 72% crystalline polyethylene sample is 0.932 g/cm³.

(a) The degree of crystallinity of a 0.93 g/em polyethylene sample can be estimated by using the following formula:

Degree of crystallinity = (Density of the sample - Density of amorphous material) / (Density of the crystal - Density of amorphous material)

We know that density of amorphous polyethylene = 0.855 g/cm³, density of crystal = 0.963 g/cm³ and density of sample = 0.93 g/cm³

Substitute these values in the formula.

Degree of crystallinity = (0.93 - 0.855) / (0.963 - 0.855)= 0.075 / 0.108= 0.694 or 69.4%

(b) The density of a 72% crystalline polyethylene sample can be estimated by using the following formula:

Density of sample = Degree of crystallinity × Density of crystal + (1 - Degree of crystallinity) × Density of amorphous material

We know that the density of amorphous polyethylene = 0.855 g/cm³, density of crystal = 0.963 g/cm³ and degree of crystallinity = 72%.

Substitute these values in the formula.

Density of sample = 0.72 × 0.963 + (1 - 0.72) × 0.855= 0.69336 + 0.2394= 0.932 g/cm³

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(a) the degree of crystallinity of the polyethylene sample is 0.42 or 42%.

(b) the density of a 72% crystalline polyethylene sample is 0.94056 g/cm³.

(a) The degree of crystallinity of a 0.93 g/em polyethylene sample is calculated using the equation given below.

Problem 4.2 equation:

=+(ℎ)

The given density of amorphous polyethylene is = 0.855 g/cm³. The density of the polyethylene sample is 0.93 g/cm³. Substituting the values in the above equation, we get

0.93 = 0.855 x Crystallinity (degree of crystallinity, f) + 0.45(1 - f)

Solving the above equation, we get the degree of crystallinity of the polyethylene sample is 0.42 or 42%.

(b) The density of a 72% crystalline polyethylene sample can be calculated by the following equation:

Problem 4.2 equation:

=+(ℎ)

Let's substitute the given values of densities and degree of crystallinity in the above equation. We get:

= (0.938 g/cm³ x 0.72) + (0.855 g/cm³ x 0.28)

= 0.94056 g/cm³

Therefore, the density of a 72% crystalline polyethylene sample is 0.94056 g/cm³.

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Measuring the approximate mass of an ion without using a standard can be accomplished via the following variant of the peak-matching technique described in Problem. The peak-matching technique is used to alternately cause the P+ ion and the (P + 1) + ions to reach the detector. It is assumed that the difference in mass between P+ and (P + 1) + is due to a single 13C replacing a 12C atom.


a. If the accelerating voltage for (P + 1)+ is labeled V2 anp that for P+ is V1, derive a relationship that relates the ratio V2/V1to the mass of P+.

b. If V2/V1 = 0.987753, calculate the mass of the P+ ion.

Answers

a. The relationship that relates the ratio V₂/V₁ to the mass of P⁺ is given by: (mass of P+) = [(V₂/V₁) - 1] * (mass of ¹²C)

b. Using the given ratio V₂/V₁ = 0.987753, we can calculate the mass of the P⁺ ion: (mass of P⁺) = (0.987753 - 1) * (mass of ¹²C)

a. In the peak-matching technique, the difference in mass between P⁺ and (P + 1)⁺ is attributed to a single ¹³C atom replacing a ¹²C atom. The accelerating voltage for (P + 1)⁺ is denoted as V₂, and for P⁺, it is denoted as V₁. The ratio V₂/V₁ represents the relative difference in the energies of the two ions. This ratio can be related to the mass difference between P⁺ and (P + 1)⁺ by considering the mass of the ¹²C atom.

b. By substituting the given ratio into the derived relationship, we can calculate the mass of the P⁺ ion. The mass of the ¹²C atom is a known value, and multiplying it by the difference in the ratio V₂/V₁ gives us the mass of P⁺.

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solution containing sodium fluoride is mixed with one containing calcium nitrate to form a solution that is 0.015 M in NaF and 0.010 M in Ca(NO3)2. Does a precipitate form in the mixed solution

Answers

The precipitate does not form in the mixed solution.

Fluorides are generally soluble except for a few exceptions. Calcium fluoride (CaF₂) is one of those exceptions, and it has limited solubility. It has a low solubility product constant (Ksp) indicating that it is relatively insoluble.

The solubility product constant for calcium fluoride is Ksp = 3.9 x 10⁻¹¹.

In the mixed solution, the concentration of fluoride ions (F⁻) is 0.015 M, and the concentration of calcium ions (Ca²⁺) is 0.010 M.

IP = [Ca²⁺][F⁻] = (0.010)(0.015) = 1.5 x 10⁻⁴

Since the ion product (IP) is less than the solubility product constant (Ksp) for calcium fluoride, a precipitate of calcium fluoride (CaF₂) will not form in the mixed solution.

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Electrons :____________.

a. comprise the majority of the mass of an atom.

b. are located in the nucleus of an atom.

c. have a positive charge of one.

d. are the subatomic particles most involved in bonding behavior of atoms.

e. do not participate in the bonding of atoms.

Answers

Electrons do not participate in the bonding of atoms. The correct option is e.

Electrons are subatomic particles that orbit the nucleus of an atom. They have a negative charge of -1 and are responsible for various properties of atoms, such as their reactivity and electrical conductivity. While electrons play a crucial role in chemical reactions and the formation of bonds between atoms, they do not directly participate in the bonding process.

Instead, it is the outermost electrons, known as valence electrons, that are involved in bonding behavior. Valence electrons are the electrons located in the outermost energy level of an atom and are responsible for forming chemical bonds with other atoms.

By sharing, gaining, or losing valence electrons, atoms can achieve a stable electron configuration and form bonds with other atoms to create compounds. Therefore, while electrons are essential for bonding to occur, they themselves do not directly participate in the bonding of atoms. Option e is the correct answer.

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A 2.9 kg lump of aluminum is heated to 96oC and then dropped into 9.0 kg of water at 5.3oC. Assuming that the lump–water system is thermally isolated, what is the system's equilibrium temperature? Assume the specific heats of water and aluminum are 4186 and 900 J/kg-K, respectively.

Answers

To find the equilibrium temperature of the lump of aluminum and the water, we can use the principle of conservation of energy.

The heat lost by the aluminum lump is equal to the heat gained by the water when they reach thermal equilibrium.

The heat lost by the aluminum can be calculated using the formula:

Q_aluminum = m_aluminum * c_aluminum * (T_equilibrium - T_aluminum)

where:

m_aluminum is the mass of the aluminum lump (2.9 kg)

c_aluminum is the specific heat capacity of aluminum (900 J/kg-K)

T_equilibrium is the equilibrium temperature we want to find

T_aluminum is the initial temperature of the aluminum lump (96°C)

The heat gained by the water can be calculated using the formula:

Q_water = m_water * c_water * (T_equilibrium - T_water)

where:

m_water is the mass of the water (9.0 kg)

c_water is the specific heat capacity of water (4186 J/kg-K)

T_water is the initial temperature of the water (5.3°C)

Since the system is thermally isolated, the heat lost by the aluminum is equal to the heat gained by the water:

Q_aluminum = Q_water

Substituting the values into the equation:

m_aluminum * c_aluminum * (T_equilibrium - T_aluminum) = m_water * c_water * (T_equilibrium - T_water)

Now we can solve for T_equilibrium:

2.9 kg * 900 J/kg-K * (T_equilibrium - 96°C) = 9.0 kg * 4186 J/kg-K * (T_equilibrium - 5.3°C)

Rearranging the equation and simplifying:

2610 (T_equilibrium - 96) = 37674 (T_equilibrium - 5.3)

2610 T_equilibrium - 250560 = 37674 T_equilibrium - 199250.2

-35064 T_equilibrium = -44810.2

T_equilibrium ≈ 1.28°C

Therefore, the equilibrium temperature of the lump of aluminum and the water is approximately 1.28°C.

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Make an energy graph for a collision method that you tested but have not yet discussed with the class. When making your graph, be sure to decide the following:




What to include in the system



The relative kinetic energy before and after the collision



How to represent the change

Answers

In this experiment, a collision method was tested and an energy graph was created. The graph includes the components of the system, the relative kinetic energy before and after the collision, and a representation of the change.

For this collision experiment, the system consisted of two objects, Object A and Object B. Object A had an initial kinetic energy of KA1, while Object B had an initial kinetic energy of KB1. These values were measured and recorded before the collision occurred.

During the collision, the two objects interacted, resulting in a transfer of energy. After the collision, Object A had a new kinetic energy of KA2, and Object B had a new kinetic energy of KB2. The relative kinetic energy before and after the collision can be calculated by subtracting the initial kinetic energy from the final kinetic energy for each object.

To represent the change in kinetic energy on the energy graph, the initial kinetic energies KA1 and KB1 can be plotted on the x-axis, while the final kinetic energies KA2 and KB2 can be plotted on the y-axis. The difference between the initial and final kinetic energies represents the change in kinetic energy and can be shown as arrows or bars on the graph.

By visually representing the relative kinetic energy before and after the collision on the energy graph, it becomes easier to analyze and compare the changes. This method helps in understanding the energy transfer and transformation during the collision process.

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in part 3 of the procedure you mixed equal amounts of hcl and naoh, and allowed the water of the solutions to evaportate. What is the identity of the solid residue that remained

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The solid residue that remained after mixing equal amounts of HCl (hydrochloric acid) and NaOH (sodium hydroxide) and allowing the water to evaporate is NaCl (sodium chloride).

When equal amounts of HCl and NaOH are mixed, they undergo a neutralization reaction, resulting in the formation of water and a salt. In this case, the salt formed is NaCl. As the water in the solution evaporates, the NaCl crystallizes and remains as a solid residue. NaCl is a common salt known as table salt and is composed of sodium cations (Na+) and chloride anions (Cl-).

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The concentration of an aqueous solution of a nonvolatile, monoprotic acid is measured first by freezing point depression and then by boiling point elevation. The solution is found to be 0.93 m by freezing point depression and to be 0.82 m by boiling point elevation. Which is the best explanation for this discrepancy?

a. Ionization of the acid is markedly exothermic

b. The solute associates partially into dimers at lower temperatures

c. The volume of the solution is at higher temperature

d. The boiling point elevation constant for water is smaller than its freezing point depression constant.

Answers

The best explanation for the discrepancy between the concentration of the aqueous solution of the nonvolatile, monoprotic acid measured by freezing point depression and boiling point elevation is that the solute associates partially into dimers at lower temperatures. The correct option is b.

When a nonvolatile solute is dissolved in a solvent, it affects the colligative properties of the solution, such as freezing point depression and boiling point elevation. Freezing point depression depends on the concentration of solute particles in the solution, whereas boiling point elevation depends on the total concentration of solute particles.

In the case of a nonvolatile, monoprotic acid, it is expected that the concentration measured by freezing point depression and boiling point elevation should be the same since both methods rely on the number of solute particles. However, if the solute associates partially into dimers at lower temperatures, it would result in a discrepancy between the two measurements.

When the solute associates into dimers, it effectively reduces the number of solute particles in the solution. This reduction in solute particles would lead to a lower concentration measured by boiling point elevation compared to the concentration measured by freezing point depression.

Therefore, option b, the partial association of the solute into dimers at lower temperatures, is the best explanation for the observed discrepancy between the two measurements.

Therefore the correct option is b.

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After establishing the response factor of the instrument, the researcher collected 9.299.29 g of spinach, homogenized the sample, and extracted the DDT using an established method, producing a 3.433.43 mL solution containing an unknown amount of extracted DDT. The researcher then prepared a sample for analysis that contained 0.5000.500 mL of the unknown DDT solution and 1.751.75 mL of 11.9211.92 mg/L chloroform, which was diluted to a final volume of 25.0025.00 mL. The sample was analyzed using GCMS, producing peak areas of 79077907 and 1173311733 for the DDT and chloroform, respectively. Calculate the amount of DDT in the spinach sample. Express the final answer as milligrams of DDT per gram o

Answers

The amount of DDT in the spinach sample is 540.53 mg of DDT per gram.

A researcher who extracted DDT using an established method, creating a 3.43 mL solution containing an unknown amount of extracted DDT.

A sample was then prepared containing 0.5 mL of the unknown DDT solution and 1.75 mL of 11.92 mg/L chloroform, diluted to a final volume of 25 mL.

This sample was then analyzed using GCMS, producing peak areas of 7907 and 11733 for the DDT and chloroform, respectively.

To determine the quantity of DDT in the spinach sample, we must first calculate the concentration of DDT in the final sample solution (the 0.5 mL unknown DDT solution, 1.75 mL of 11.92 mg/L chloroform, and diluent to make a total volume of 25 mL).

The concentration of DDT in the final sample solution can be determined using the response factor of the instrument, which relates the area of the DDT peak to the amount of DDT present.

Using the peak areas obtained for DDT and chloroform, we can calculate the ratio of the concentration of the unknown DDT solution to the concentration of the 11.92 mg/L chloroform using the formula:

Concentration of DDT in unknown solution = (Area of DDT peak / Area of chloroform peak) * Concentration of chloroform in sample solution

Substituting the given values, we get:

Concentration of DDT in unknown solution = (7907 / 11733) * 11.92= 7.985 mg/L

The concentration of DDT in the unknown solution is 7.985 mg/L.

Since 0.5 mL of the unknown solution was used in the final sample, the amount of DDT in this sample is

0.5 mL * 7.985 mg/L = 3.9925 mg of DDT in the 0.5 mL unknown DDT solution

However, this sample was diluted to a final volume of 25 mL, so the amount of DDT in the original 3.43 mL extracted solution is given by:

3.9925 mg * (25 mL / 0.5 mL) = 199.625 mg of DDT in the original 3.43 mL extracted solution

Finally, we must calculate the amount of DDT in the spinach sample.

We know that 9.29 g of spinach was used to obtain the 3.43 mL extracted solution.

Therefore, the amount of DDT in the spinach sample can be calculated as follows:

Amount of DDT in spinach sample = (199.625 mg / 3.43 mL) * 9.29 g

                                                          = 540.53 mg/kg or 540.53 mg/g

Therefore, the amount of DDT in the spinach sample is 540.53 mg of DDT per gram.

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Methane reacts with oxygen according to a balanced equation. C H 4 + 2 O 2 ⟶ C O 2 + 2 H 2 O Determine whether each statement describing the reaction is true or false.\

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The given balanced equation represents the reaction between methane ([tex]CH_4[/tex]) and oxygen ([tex]O_2[/tex]) to produce carbon dioxide ([tex]CO_2[/tex]) and water ([tex]H_2O[/tex]). Let's evaluate each statement:

1. True: The balanced equation shows that one methane molecule reacts with two oxygen molecules to produce one carbon dioxide molecule and two water molecules. The coefficients in the equation represent the stoichiometric ratios, indicating the number of molecules involved in the reaction.

2. True: Methane ([tex]CH_4[/tex]) is a hydrocarbon composed of one carbon atom and four hydrogen atoms, while carbon dioxide  ([tex]CO_2[/tex]) consists of one carbon atom and two oxygen atoms. The reaction results in the conversion of the carbon atom from methane to carbon dioxide.

3. True: Oxygen ([tex]O_2[/tex]) is a diatomic molecule, meaning it consists of two oxygen atoms bonded together. The balanced equation shows that two oxygen molecules are required to react with one methane molecule, forming two water molecules and one carbon dioxide molecule.

4. True: The reaction is balanced, as the number of atoms of each element is the same on both sides of the equation. There is one carbon atom, four hydrogen atoms, and four oxygen atoms on each side.

In summary, all of the statements are true. The balanced equation accurately represents the reaction between methane and oxygen, resulting in the formation of carbon dioxide and water.

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if the N number of atoms of a radioactive substance has decayed to 25 atoms in five half-lives,what was the original number of atoms in the substance

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The original number of atoms in the substance was 800 atoms after 5 half-lives.

Given information,

Half-lives = 5

Final amount = 25 atoms

The decay of a radioactive substance follows an exponential decay equation. The number of atoms remaining (N) after a certain number of half-lives (n) can be calculated using the formula:

N = N₀×[tex]\frac{1}{2} ^{n}[/tex]

Where:

N₀ is the original number of atoms

n is the number of half-lives

Now, substituting the values in the formula:

25 = N₀ × [tex]\frac{1}{2} ^{5}[/tex]

Simplifying the equation:

25 = N₀ × (1/32)

N₀ = 25 × 32

N₀ = 800 atoms

Therefore, the original number of atoms in the substance was 800 atoms.

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The volume of a gas is 0. 668 L at 66. 78 0C. At what Celcius temperature will the gas have a volume of 0. 942 L, assuming pressure stays constant

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At a temperature of 204.95°C, the gas will have a volume of 0.942 L, assuming the pressure remains constant.

The volume of a gas is initially 0.668 L at a temperature of 66.78°C.

The gas will have a volume of 0.942 L, assuming the pressure remains constant.

We can use Charles's Law, which states that the volume of a gas is directly proportional to its absolute temperature at constant pressure. Mathematically, it can be expressed as: V₁ / T₁ = V₂ / T₂, where V₁ and V₂ are the initial and final volumes of the gas, and T₁ and T₂ are the corresponding initial and final absolute temperatures of the gas.

Converting the initial temperature to Kelvin, we get: T₁ = 66.78°C + 273.15 = 339.93 K.

The initial volume, V₁, is given as 0.668 L.

The final volume, V₂, is given as 0.942 L.

T₂ = (V₂ / V₁) × T₁

T₂ = (0.942 L / 0.668 L) × 339.93 K = 478.1 K.

T₂ = 478.1 K - 273.15 = 204.95°C.

Therefore, at a temperature of 204.95°C, the gas will have a volume of 0.942 L, assuming the pressure remains constant.

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For a particular reaction, δh=−111.4 kj/mol and δs=−25.0 j/(mol·k).

required:
a. calculate δg for this reaction at 298 k. (in kj).
b. what can be said about the spontaneity of the reaction at 298 k?

Answers

The Gibbs free energy change (ΔG) for a reaction can be calculated using the equation ΔG = ΔH - TΔS, where ΔH is the enthalpy change, T is the temperature in Kelvin, and ΔS is the entropy change.

Given ΔH = -111.4 kJ/mol, ΔS = -25.0 J/(mol·K), and T = 298 K, we need to convert the entropy change to kJ/mol·K.

To convert ΔS to kJ/mol·K, we divide it by 1000:

ΔS = -25.0 J/(mol·K) / 1000 = -0.025 kJ/(mol·K)

Now we can calculate ΔG:

ΔG = ΔH - TΔS

ΔG = -111.4 kJ/mol - (298 K * -0.025 kJ/(mol·K))

ΔG = -111.4 kJ/mol + 7.45 kJ/mol

ΔG = -103.95 kJ/mol

Therefore, the value of ΔG for this reaction at 298 K is approximately -103.95 kJ/mol.

b. The sign of ΔG indicates the spontaneity of a reaction. If ΔG is negative, the reaction is spontaneous, meaning it can occur without any external intervention. If ΔG is positive, the reaction is non-spontaneous, and if ΔG is zero, the reaction is at equilibrium. In this case, since ΔG is negative (-103.95 kJ/mol), the reaction is spontaneous at 298 K. The negative value indicates that the reaction proceeds in the forward direction, releasing energy. The magnitude of ΔG indicates the extent of spontaneity, with larger negative values indicating a more spontaneous reaction.

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Propose which one of the following gives addition reaction: A. Methane B. Ethane C. Propyne D. Propane​

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The compound that is most likely to undergo an addition reaction among the given options is propyne (C).

An addition reaction is a chemical reaction in which two or more reactants combine to form a single product. This reaction involves the breaking of multiple bonds and the formation of new bonds. In the case of the given options, propyne (C3H4) is the compound that is most likely to undergo an addition reaction.

Methane (CH4) and ethane (C2H6) are both saturated hydrocarbons with only single bonds between carbon atoms. These compounds are relatively stable and do not readily undergo addition reactions.

Propane (C3H8) is also a saturated hydrocarbon and lacks the necessary functional groups to undergo addition reactions.

However, propyne (C3H4) contains a triple bond between two carbon atoms, which provides the necessary unsaturation for an addition reaction to occur. The triple bond can easily be broken, and the carbon atoms can react with other molecules to form new bonds.

Therefore, among the given options, propyne (C) is the compound most likely to undergo an addition reaction.

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What mass of concentrated sulfuric ( a 95% solution of H2SO4 by mas) is needed to prepare 500. g of a 10.0% solution of H2SO4 by mass

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To calculate the mass of concentrated sulfuric acid (95% H2SO4) needed to prepare 500 g of a 10.0% solution of H2SO4, we can set up a proportion based on the concentration of the solutions.

Let's denote the mass of concentrated sulfuric acid as "M" (in grams) and set up the following proportion:

(10.0 g H2SO4 / 100 g solution) = (M g H2SO4 / 500 g solution)

Cross-multiplying and solving for M, we have:

M = (10.0 g H2SO4 * 500 g solution) / 100 g solution

M = 50 g H2SO4

Therefore, you would need 50 grams of concentrated sulfuric acid (95% solution) to prepare 500 g of a 10.0% solution of H2SO4 by mass.

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A 1 liter solution contains 0.411 M nitrous acid and 0.308 M sodium nitrite. Addition of 0.339 moles of nitric acid will:

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A 1 liter solution containing 0.411 M nitrous acid and 0.308 M sodium nitrite will experience a reaction when 0.339 moles of nitric acid are added.

How does the addition of 0.339 moles of nitric acid affect the solution?

When 0.339 moles of nitric acid are added to the 1 liter solution containing 0.411 M nitrous acid and 0.308 M sodium nitrite, a reaction will occur. Nitric acid is a strong acid and will react with the weak acid nitrous acid (HNO₂) and its corresponding conjugate base, the nitrite ion (NO₂-), to form water and the strong acid nitric acid (HNO₃). The reaction can be represented as follows:

HNO₂ + HNO₃ ⇌ H₂O + NO₂- + NO₃-

The addition of nitric acid increases the concentration of nitric acid and results in the formation of water and the nitrate ion (NO₃-) from the reaction between nitric acid and nitrous acid. The overall effect is an increase in the concentration of nitric acid and a decrease in the concentration of nitrous acid and sodium nitrite.

The reaction between nitric acid and nitrous acid is an example of an acid-base reaction. Nitric acid is a strong acid, meaning it completely dissociates in water to produce hydrogen ions (H+) and nitrate ions (NO₃-). Nitrous acid, on the other hand, is a weak acid that only partially dissociates in water to produce hydrogen ions (H+) and nitrite ions (NO₂-). The addition of nitric acid to a solution containing nitrous acid leads to a shift in the equilibrium of the reaction, favoring the formation of more products (water and nitrate ions) and reducing the concentration of reactants (nitrous acid and nitrite ions).

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Some .90M NaF is added to the saturated solution. Does the solubility of CdF2 increase, decrease, or remain the same

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The addition of 0.90 M NaF to a saturated CdF₂ solution would decrease the solubility of CdF₂.

A saturated solution is a solution that contains the highest amount of solute that can be dissolved in a given amount of solvent at a given temperature and pressure.

Solubility refers to the maximum amount of solute  that can dissolve in a given quantity of solvent at a specified temperature and pressure. The solubility of a substance is generally determined in terms of the number of grams of solute that can dissolve in 100 g of solvent. Solubility is expressed in grams of solute per 100 grams of solvent, while molarity is expressed in moles of solute per liter of solution.

A saturated solution of CdF₂ would be prepared using water as a solvent. If we add NaF to this saturated CdF₂ solution, the solubility of CdF₂ will be reduced, because NaF is a fluoride-containing salt. The concentration of F⁻ ions in the solution will be raised as a result of the addition of NaF. As a result, the equilibrium of the reaction below will shift to the left: 2CdF₂(s) ⇌ 2Cd⁺(aq) + 4F⁻(aq)

Ksp = [Cd2⁺]² [F⁻ ]⁴

The reduction of F² ions will drive the reaction to the left, thus the equilibrium will be moved to the left. This reduces the solubility of CdF₂ in the solution, because the concentration of Cd2⁺ will decrease. Therefore, the solubility of CdF₂ will decrease if 0.90 M NaF is added to the saturated solution.

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Using the balmer equation, find the frequency of the radiation corresponding to n=3

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The frequency of the radiation corresponding to the energy level n=3 can be determined using the Balmer equation.

The equation is given by:

[tex]\[f = R \left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right)\][/tex]

where R is the Rydberg constant, [tex]\(n_1\)[/tex] is the initial energy level, and [tex]\(n_2\)[/tex] is the final energy level. In the case of the Balmer series, the initial energy level [tex](\(n_1\))[/tex] is 2, and the final energy level [tex](\(n_2\))[/tex] is 3. Plugging these values into the equation, we can calculate the frequency of the radiation corresponding to [tex]\(n=3\)[/tex].

The Balmer equation provides a relationship between the frequency of the radiation emitted or absorbed by a hydrogen atom and the energy levels involved. For the Balmer series, the initial energy level [tex](\(n_1\))[/tex] is always 2, representing the first excited state of the hydrogen atom. To find the frequency corresponding to a specific final energy level, in this case [tex]\(n=3\)[/tex], we substitute [tex]\(n_1=2\)[/tex] and [tex]\(n_2=3\)[/tex] into the equation. The Rydberg constant [tex](\(R\))[/tex] is a fundamental constant that depends on the mass and charge of the electron. By solving the equation, we can determine the frequency of the radiation corresponding to n=3.

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In general, a catalyst speeds up a given reaction by providing an alternative mechanism that has a ______ activation energy, thus ______ the rate constant and the overall rate. Multiple choice question.

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In general, a catalyst speeds up a given reaction by providing an alternative mechanism that has a lower activation energy, thus increasing the rate constant and the overall rate.

A catalyst is a substance that participates in a chemical reaction and increases the rate of the reaction without being consumed in the process. It achieves this by providing an alternative reaction pathway with a lower activation energy.

Activation energy is the energy barrier that must be overcome for a chemical reaction to occur. The reactant molecules need to possess enough energy to surpass this barrier and reach the transition state, where the reaction takes place.

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