17 pounds of a 40 pound sample of radioactive iodine remains after 40 days. what is the half life of iodine

Answers

Answer 1

The half-life of iodine, given that 17 pound sample of the radioactive iodine remains after 40 days is 32.5 days

How do i determine the half-life of iodine?

We shall obtain the number of half lives that has elapsed. This is obtained as follow:

Original amount (N₀) = 40 poundAmount remaining (N) = 17 poundNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 40 / 17

2ⁿ = 2.35

Take the log of both sides

Log 2ⁿ = Log 2.35

nLog 2 = Log 2.35

Divide both sides by Log 2

n = Log 2.35 / Log 2

= 1.23

Finally, we shall determine the half-life of the iodine. Details below

Number of half-lives (n) = 1.23Time taken (t) = 40 daysHalf-life of iodine (t½) = ?

t½ = t / n

= 40 / 1.23

= 32.5 days

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Related Questions

determine the density of an object (in g ml-1) that has a mass of 149.8 g and displaces 0.001210 l of water when placed in a graduated cylinder where the final volume is 0.003498 l

Answers

The density of the object is 65.447 g/mL.

Density is a physical property of a substance that represents the amount of mass per unit volume. It is a measure of how closely packed the particles or molecules of a substance are. The formula for density is:

Density = Mass / Volume

In this formula, mass refers to the amount of matter in the substance, typically measured in grams (g) or kilograms (kg), and volume refers to the amount of space occupied by the substance, typically measured in cubic centimeters (cm³) or liters (L).

Density provides information about the compactness or concentration of a substance. Substances with a higher density have more mass packed into a given volume, while substances with a lower density have less mass packed into the same volume.

Given:

Mass of the object = 149.8 g

Initial volume of water = 0.001210 L

Final volume of water and object = 0.003498 L

Volume of the object = Final volume - Initial volume

Volume of the object = 0.003498 L - 0.001210 L

Volume of the object = 0.002288 L

Density = Mass / Volume

Density = 149.8 g / 0.002288 L

Density = 65.447 g/mL

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find one other method for the titration of chloride that relies on the development of a color. discuss the difference of this method with the mohr titration

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The main difference between the two methods is the way they detect the endpoint of the reaction. Mohr's method uses an indicator (chromate ion) that changes color when the endpoint is reached. On the other hand, the silver nitrate titration method relies on the formation of a white precipitate to indicate the endpoint.

Titration is a method of quantitative chemical analysis that is used to determine the concentration of a known reactant. There are different methods of titration, and two of these are the Mohr titration and the Silver Nitrate titration method. In this context, we will be looking at the differences between the two methods of titration and how they rely on the development of color.

What is Mohr titration?

Mohr's method of chloride titration is a type of redox titration, where the indicator used is a chromate ion. The endpoint of Mohr's method of titration is characterized by the formation of a reddish-brown precipitate known as silver chromate (Ag2CrO4).

This indicates that the solution has become neutral, and the silver ions have combined with chloride ions to form silver chloride.

AgNO3 + NaCl → AgCl + NaNO3

What is Silver Nitrate titration method?

Silver nitrate titration is a method of titration that is used to determine the concentration of chloride ions in a given solution. The method is based on the reaction between silver nitrate and chloride ions to form a white precipitate known as silver chloride

(AgCl).AgNO3 + NaCl → AgCl + NaNO3

What are the differences between Mohr's and silver nitrate titration methods?

Another difference is that in Mohr's titration, the formation of the reddish-brown precipitate indicates that the solution has become neutral. In silver nitrate titration, the formation of the white precipitate indicates that all the chloride ions in the solution have reacted with silver ions, and no more AgNO3 needs to be added to the solution.

Both Mohr's and silver nitrate titration methods are reliable methods of chloride titration, but they have differences in the way they detect the endpoint of the reaction.

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The half-life of a first-order reaction is 13 min. If the initial concentration of reactant is 0. 085 m, it takes ________ min for it to decrease to 0. 055 m.

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The half-life of a first-order reaction is 13 min. If the initial concentration of reactant is 0.085 m, it takes 26 min for it to decrease to 0.055 m.


The half-life of a first-order reaction is the time it takes for the concentration of the reactant to decrease by half. In this case, the half-life is 13 min.

To find the time it takes for the reactant to decrease from 0.085 m to 0.055 m, we need to find the number of half-lives.

First, we find the difference in concentration: 0.085 m - 0.055 m = 0.03 m.

Then, we divide this difference by the initial concentration to find the fraction remaining: 0.03 m / 0.085 m = 0.3529.

Next, we use the equation t = (0.693/k) * (1/n), where t is the time, k is the rate constant, and n is the number of half-lives.

Substituting the given values, we have 13 min = (0.693/k) * (1/n).

Solving for n, we find n = (0.693/k) / 13 min.

Now we can substitute n back into the equation:

t = (0.693/k) * (1/(0.693/k) / 13 min).

Simplifying, we get t = 26 min.

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3‑methylbutanal undergoes an aldol reaction to form 3‑hydroxy‑2‑isopropyl‑5‑methylhexanal. additional heating in base will form the aldol dehydration product. the starting material is a 4 carbon chain where carbon 1 is double bonded to oxygen and single bonded to hydrogen. there is a methyl substituent on carbon 3. this reacts with 10 percent n a o h at 5 degrees celsius to form a 6 carbon chain where carbon 1 is double bonded to oxygen and single bonded to hydrogen. there is a hydroxy substituent on carbon 3, an isopropyl substituent on carbon 2 and a methyl substituent on carbon 5. the intermediate is heated to give an unknown product. complete the mechanism for the dehydration reaction by adding missing bonds and curved arrows. draw the aldol dehydration product in the last step. do not delete any pre‑drawn bonds, charges, or lone pairs. if you accidentally delete a vital part of the structure, use the undo button in the lower‑left corner of the panel to reset the structure.

Answers

The aldol dehydration product is 3-isopropyl-2-methylpentanal.

The aldol dehydration product is formed by the elimination of water from the aldol product. The elimination of water is facilitated by the base, which abstracts a proton from the α-carbon of the aldol product. This proton abstraction creates a more electron-deficient α-carbon, which is then susceptible to attack by a base-induced nucleophile, such as hydroxide ion. The nucleophilic attack of hydroxide ion on the α-carbon of the aldol product results in the elimination of water and the formation of the aldol dehydration product.

The aldol dehydration product is a 5-carbon chain with a double bond between carbons 2 and 3. There is an isopropyl substituent on carbon 2 and a methyl substituent on carbon 5.

In the aldol dehydration reaction, the intermediate formed after the aldol reaction undergoes dehydration in the presence of a base, resulting in the removal of a water molecule (H₂O). This dehydration step involves the elimination of a hydroxyl group (-OH) and a hydrogen atom (-H) from adjacent carbon atoms.

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The ph of the animas river following the spill was 3.5. What was the concentration of hydrogen ions?

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The pH of the animas river following the spill was 3.5. So, the concentration of hydrogen ions is [tex]3.16 \times 10^{-4}[/tex]. This concentration indicates that the water is highly acidic, which can be harmful to aquatic life and the environment.

pH is a measure of the acidity or basicity of a solution. It is a logarithmic scale that ranges from 0 to 14, where 7 is neutral, values below 7 indicate increasing acidity, and values above 7 indicate increasing basicity.

The pH can be calculated using the following formula:

pH = [tex]\rm -log[H^+][/tex]

where [[tex]H^+[/tex]] is the concentration of hydrogen ions in moles per liter (M).

Given that the pH of the Animas River was 3.5, we can calculate the concentration of hydrogen ions as follows:

3.5 = [tex]\rm -log[H^+][/tex]

[tex]10^{-3.5}[/tex] = [tex]\rm [H^+][/tex]

[tex]\rm [H^+][/tex] = [tex]3.16 \times 10^{-4}[/tex] M

Therefore, the concentration of hydrogen ions in the Animas River following the given spill is [tex]3.16 \times 10^{-4}[/tex] M.

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based on the strength of intermolecular forces present, arrange the following substances in order of increasing (lowest first) boiling point. explain how you arrived to that order.

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The boiling points increase in the following order: [tex]CH_4[/tex] < [tex]CH_3CH_3[/tex] < [tex]H_2O[/tex].

[tex]CH_4[/tex] (methane) - lowest boiling point: Methane consists of simple nonpolar covalent bonds, and its intermolecular forces are London dispersion forces. These forces are relatively weak compared to other intermolecular forces.

[tex]CH_3CH_3[/tex] (ethane) - intermediate boiling point: Ethane also consists of nonpolar covalent bonds, but its molecular structure is slightly larger and more complex than methane. Therefore, it experiences slightly stronger London dispersion forces, resulting in a higher boiling point than methane.

[tex]H_2O[/tex] (water) - highest boiling point: Water molecules are polar due to the presence of electronegative oxygen and hydrogen atoms. This polarity leads to hydrogen bonding, which is a strong intermolecular force. Hydrogen bonding significantly increases the boiling point of water compared to the hydrocarbons methane and ethane.

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A(n) _____ is a hydrocarbon in which one or more hydrogen atoms is replaced by a -cooh and a -nh2 group.

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An amino acid is a hydrocarbon in which one or more hydrogen atoms are replaced by a -COOH (carboxyl) and a -NH₂ (amine) group. The correct answer is an amino acid.

Amino acids are classified into two groups: essential and non-essential. Essential amino acids cannot be synthesized by the body and must be obtained from dietary sources, while non-essential amino acids can be synthesized by the body.

Amino acids are the building blocks of proteins and play essential roles in biological processes. They consist of an amino group, a carboxyl group, and a variable side chain (R group) that gives each amino acid its unique properties. The presence of both the carboxyl and amino groups makes amino acids amphoteric, meaning they can act as both acids and bases in chemical reactions.

Therefore, a compound that fits the description of a hydrocarbon in which one or more hydrogen atoms are replaced by a -COOH (carboxyl) and a -NH₂ (amine) group is called an amino acid.

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structure of
1) 4 carbon branched ether
2)4 carbon tertiary amine
3) 7 carbon aldehyde
4) 6 carbon cyclic ketone

Answers

Chemical structure is the arrangement and connectivity of atoms within a molecule.  The structures are given as:

1)4 carbon branched ether:

[tex]CH_3-CH_2-O-CH_2-CH_3[/tex]

2)4 carbon tertiary amine:

[tex](CH_3)_3N[/tex]

3)7 carbon aldehyde:

[tex]CH_3-CH_2-CH_2-CHO[/tex]

4)6 carbon cyclic ketone:

[tex]CH_3-CO-C_4H_8-CO-CH_3[/tex]

Atomic connection and arrangement inside a molecule are referred to as chemical structure. It offers crucial details regarding a compound's physical and chemical characteristics as well as its interactions with other chemicals. Chemical structure can be modelled using a variety of diagrams at the most fundamental level. The Lewis structure, also known as the electron dot structure, which depicts the distribution of valence electrons and atoms' bonds, is the most typical and often used illustration.

1)4 carbon branched ether:

[tex]CH_3-CH_2-O-CH_2-CH_3[/tex]

2)4 carbon tertiary amine:

[tex](CH_3)_3N[/tex]

3)7 carbon aldehyde:

[tex]CH_3-CH_2-CH_2-CHO[/tex]

4)6 carbon cyclic ketone:

[tex]CH_3-CO-C_4H_8-CO-CH_3[/tex]

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all matter is composed of various basic substances that cannot be broken down into simpler substances by ordinary means. these substances are called .

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The substances that cannot be broken down into simpler substances by ordinary means are called elements.

Elements are the fundamental building blocks of matter. They are pure substances composed of only one type of atom. Each element is characterized by its unique atomic number, which represents the number of protons in the nucleus of its atoms.

Elements are organized in the periodic table based on their atomic number and grouped according to their similar properties.

There are currently 118 known elements, ranging from hydrogen (the lightest element) to oganesson (the heaviest element). Each element has its own unique set of chemical and physical properties, such as boiling point, melting point, density, and reactivity.

Some elements are naturally abundant, while others are extremely rare and may only exist in trace amounts.

Elements combine with each other to form compounds through chemical reactions. Compounds are composed of two or more different elements chemically bonded together in specific ratios. The combination of different elements and their arrangements give rise to the vast diversity of substances found in the natural world.

Understanding the properties and behavior of elements is crucial in various scientific fields, such as chemistry, physics, and materials science. By studying the elements and their interactions, scientists have been able to unlock the secrets of matter and develop technologies that have revolutionized our world.

In summary, elements are the basic substances that cannot be broken down into simpler substances by ordinary means. They are the foundation of all matter and provide the diversity and complexity observed in the universe.

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Be sure to answer all parts. Give the name, atomic symbol, and group number of the element with Z=35. Then classi metal, metalloid, or nonmetal, Name: Atomic symbol: Group number (number and letter): Classified as: metalloid metal nonmetal

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The name, atomic symbol, group number, and classification as metal, nonmetal, or metalloid of the element with Z = 35 are given below: Name: Bromine Atomic symbol: BrGroup number: 17 (halogen group)Classification: Nonmetal Bromine (Br) is a nonmetallic element with an atomic number of 35.

In Group 17 (halogens) of the periodic table, the chemical element is classified as a halogen. Bromine, like the other halogens, is reactive and toxic. Its reactivity is intermediate between that of chlorine and iodine. Bromine is one of only two elements that are liquid at room temperature and normal atmospheric pressure, the other being mercury.

It is a heavy, reddish-brown, volatile liquid that is corrosive to human skin and is used as a disinfectant in water treatment plants. Therefore, the name, atomic symbol, group number (number and letter), and classification of the element with Z = 35 are as follows:Name: BromineAtomic symbol: BrGroup number: 17 (halogen group)Classification: Nonmetal

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the following data are collected from the reaction of crystal violet with sodium hydroxide done under a variety of conditions:

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The decay of crystal violet is a first-order reaction, so it does not matter when data collection starts after mixing with sodium hydroxide.

In a first-order reaction, the rate of decay is directly proportional to the concentration of the reactant. The reaction rate is determined by the concentration of the crystal violet, and it decreases exponentially over time. Therefore, regardless of when data collection begins after mixing with sodium hydroxide, the rate of decay remains consistent as long as the concentration of crystal violet is within the measurable range.

This is because the reaction follows a mathematical relationship that allows for accurate determination of the reaction rate and half-life based on the concentration at any given time.

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The complete question-

based on  the decay of crystal violet, explain why it did not matter when you started collecting data after you mixed the crystal violet with the sodium hydroxide?

Bromine has two abundant isotopes, 79
Br(51%) and 81
Br(49%). Chlorine has two abundant isotopes, 35
Cl (75\%) and 37
Cl (25\%). Carbon and oxygen have only one abundant isotope each. Which of the following molecules would you expect to show five molecular ion peaks with significant intensity in a standard-resolution mass spectrum? 3-bromopentane Trichloromethane None of these Decane 1-bromo-2-chloroethane

Answers

The correct option is 1-bromo-2-chloroethane.What is standard resolution mass spectroscopy?Standard resolution mass spectroscopy is a method used to measure the mass-to-charge ratio of ions of known mass in the gas phase. It's used to determine the molecular weight and molecular formula of a compound.

A typical mass spectrum includes the ion peaks with a unique mass-to-charge ratio.

Isotopes can be detected by mass spectrometry because they have distinct masses that are sufficiently different to produce distinct peaks in a mass spectrum.

Bromine has two isotopes, 79Br and 81Br, with an abundance of 51 percent and 49 percent, respectively, whereas Chlorine has two isotopes, 35Cl and 37Cl, with an abundance of 75 percent and 25 percent, respectively. Carbon and oxygen, on the other hand, only have one common isotope each.

The molecular formula for 1-bromo-2-chloroethane is C2H4BrCl.

The molecular mass of 1-bromo-2-chloroethane is calculated as follows:

12.01+12.01+79.90+35.45+1.01 = 140.38

The fragment ions produced by electron impact ionization of 1-bromo-2-chloroethane are:

1. C2H4BrCl+2. C2H4Br+3. C2H4Cl+4. C2H4+5. Br+

The fragment ions corresponding to 1-bromo-2-chloroethane's mass-to-charge ratio (m/z) are given as follows:

1. m/z = 1402.

m/z = 1083.

m/z = 1064.

m/z = 56.05.

m/z = 80

Only 1-bromo-2-chloroethane would generate five molecular ion peaks with significant intensity in a standard-resolution mass spectrum.

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How many moles of atoms are in 8.00 g of 13c? express your answer numerically in moles.

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There are 0.615 moles of carbon-13 atoms in 8.00 g of carbon-13.

A mole is a unit of measurement used to express the amount of a substance. It is defined as the amount of a substance that contains as many elementary entities (such as atoms, molecules, or ions) as there are atoms in exactly 12 grams of carbon-12.

The mole is often represented by the symbol "mol" and is used to quantify the number of particles or entities in a sample. One mole of any substance contains Avogadro's number of particles, which is approximately 6.022 × 10²³.

Given,

The molar mass of carbon-13 = 13.00335 g/mol.

Number of moles = Mass / Molar mass

Number of moles = 8.00 g / 13.00335 g/mol = 0.615 moles

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What is the percent yield of a reaction in which 200. g of phosphorus trichloride reacts with excess water to form 111 g of HCl and aqueous phosphorous acid (H 3

PO 3

) ? % yield

Answers

The percentage yield obtained when 200. g of phosphorus trichloride reacts with excess water to form 111 g of HCl is 69.7%

How do i determine the percentage yield?

First, we shall obtain the theoretical yield of HCl. Details below:

PCl₃ + 3H₂O => 3HCl + H₃PO₃

Molar mass of PCl₃ = 137.5 g/molMass of PCl₃ from the balanced equation = 1 × 137.5 = 137.5 gMolar mass of HCl = 36.5 g/mol Mass of HCl from the balanced equation = 3 × 36.5 = 109.5 g

From the balanced equation above,

137.5 g of PCl₃ reacted to produce 109.5 g of HCl

Therefore,

200 g of PCl₃ will react to produce = (200 × 109.5) / 137.5 = 159.3 g of HCl

Thus, the theoretical yield is 159.3 g

Finally, we shall determine the percentage yield for HCl. Details below:

Actual yield of HCl = 111 gTheoretical yield of HCl = 159.3 gPercentage yield of HCl =?

Percentage yield of HCl = (Actual /Theoretical) × 100

= (111 / 159.3) × 100

= 69.7%

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the coordination compound co3[cr(cn)6]2 contains co2 cations and a complex anion. what is the likely oxidation state for cr in the anion? give your answer as a number, and include the appropriate sign.

Answers

The oxidation state of Chromium in this complex hexacyanochromium (III) anion comes out to be +3.

Oxidation state, also known as oxidation number, is a concept used in chemistry to describe the relative charge of an atom within a compound or ion. It is a formal representation of the distribution of electrons in a chemical species. The oxidation state of an atom indicates the number of electrons that an atom has gained or lost (or appears to have gained or lost) when forming a chemical bond.

In determining the oxidation state, general rules and conventions are followed. For example, in a molecule, the oxidation states of all the atoms should sum up to the overall charge of the molecule. In some cases, oxidation states can be assigned based on electronegativity differences between atoms in a compound or by considering the known rules for specific elements or groups of elements.

Oxidation states are represented by a positive or negative number, or zero for atoms in their elemental form.

Since the oxidation state of CN or cyanide ligand is -1, and if we suppose the oxidation state of Cr to be 'x', then; x - 6 = -3 (overall charge on the anion),

so x= +3.

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consider the hypothetical atom, with a mass number of 85 and an atomic number of 44, what would be the number of protons (p), neutrons (n), and electrons (e), if the atom was real?

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For the hypothetical atom with a mass number of 85 and an atomic number of 44, a real atom of this isotope (Ruthenium) would have:

Protons (p) = 44

Neutrons (n) = 41

Electrons (e) = 44

The hypothetical atom with a mass number of 85 and an atomic number of 44 represents an isotope of the element Ruthenium (Ru). To determine the number of protons, neutrons, and electrons in a real atom of this isotope, we need to understand the atomic structure.

The atomic number (Z) represents the number of protons in an atom. Since the atomic number is given as 44, the number of protons (p) in the atom is 44.

The mass number (A) represents the total number of protons and neutrons in the nucleus of an atom. In this case, the mass number is given as 85. Therefore, the number of neutrons (n) can be calculated by subtracting the atomic number (protons) from the mass number:

Neutrons (n) = Mass number (A) - Atomic number (Z)

Neutrons (n) = 85 - 44

Neutrons (n) = 41

To determine the number of electrons (e), we assume that the atom is neutral, meaning it has an equal number of protons and electrons. Therefore, the number of electrons is also 44.

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____________ law is a gas law that relates pressure and volume and states that for a fixed amount of gas at constant temperature, the pressure and volume of the gas are ____________ related.

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Boyle's Law relates pressure and volume of a fixed amount of gas at constant temperature; they are inversely related.

Boyle's Law, named after the scientist Robert Boyle, describes the relationship between pressure and volume of a gas. According to this law, if the temperature remains constant, the pressure and volume of a given amount of gas are inversely proportional to each other. This means that as the volume of a gas increases, the pressure decreases, and vice versa.

The mathematical expression for Boyle's Law is P1V1 = P2V2, where P1 and V1 represent the initial pressure and volume, and P2 and V2 represent the final pressure and volume. Boyle's Law is fundamental in understanding the behavior of gases and is used in various applications, such as in the study of gas behavior and in the design of ventilation systems.

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A+hydrocarbon+(alkane+or+cycloalkane)+is+found+by+combustion+analysis+to+contain+87.17%+carbon+and+12.83%+hydrogen+by+mass.+determine+the+smallest+possible+molecular+formula+for+this+compound:

Answers

The molecular formula for the compound, given that it contains 87.17% carbon and 12.83% hydrogen is C₄H₇

How do i determine the molecular formula for the compound?

The following data were obtained from the question:

Carbon (C) = 87.17%Hydrogen (H) = 12.83%Molecular formula =?

The molecular formula of the compond can be obtain as follow:

Divide by their molar mass

C = 87.17 / 12 = 7.264

H = 12.83 / 1 = 12.83

Divide by the smallest

C = 7.264 / 7.264 = 1

H = 12.83 / 7.264 = 1.766

Multiply by 4 to express in whole number

C = 1 × 4 = 4

H = 1.766 × 4 = 7

Thus, the molecular formula for the compound is C₄H₇

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A solution of an unknown compound has a concentration of 35.4 % by mass. How many moles are present in 2.099 kg of solution if the solute has a molar mass of 173.1 g/mol?

Answers

The number of moles present in 2.099 kg of solution if the solute has a molar mass of 173.1 g/mol is approximately 4.3 × 10³ moles.

To determine the number of moles present in 2.099 kg of solution if the solute has a molar mass of 173.1 g/mol, we will first calculate the mass of the solute and then divide it by the molar mass of the solute.

Mass of solute

= 35.4 % of 2.099 kg

= (35.4/100) × 2.099 kg

= 0.7444546 kg Molar mass of solute

= 173.1 g/mol Number of moles of solute

= (mass of solute/molar mass of solute)

= 0.7444546 kg/(173.1 g/mol)

= 4297.388 ≈ 4.3 × 10³ moles .

The number of moles present in 2.099 kg of solution if the solute has a molar mass of 173.1 g/mol is approximately 4.3 × 10³ moles.

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Write the expressions for the equilibrium constants K p
of the following thermal decomposition reactions: a. 2NaHCO 3
( s)≪−⋯Na 2
CO 3
( s)+CO 2
( g)+H 2
O(g) b. 2CaSO 4
( s)<−⋯2CaO(s)+2SO 2
( g)+O 2
( g)

Answers

Answer:

ok, here is your answer

Explanation:

a. For the given thermal decomposition reaction:

2NaHCO3(s) ≪−⋯Na2CO3(s) + CO2(g) + H2O(g)

The equilibrium constant expression Kp can be defined as:

Kp = (PNa2CO3 x PCO2 x PH2O)² / (PNaHCO3)²

Where,

PNa2CO3, PCO2, PH2O, and PNaHCO3 are the partial pressures of Na2CO3, CO2, H2O, and NaHCO3, respectively.

b. For the given thermal decomposition reaction:

2CaSO4(s) &lt;−⋯2CaO(s) + 2SO2(g) + O2(g)

The equilibrium constant expression Kp can be defined as:

Kp = (PCaO² x PSO2² x PO2) / (PCaSO4)²

Where,

PCaO, PSO2, PO2, and PCaSO4 are the partial pressures of CaO, SO2, O2, and CaSO4, respectively.

Therefore, these are the equilibrium constant expressions for the given thermal decomposition reactions.

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An unknown concentration of iodic acid (HIO3) solution has been diluted. The dissociation degree of the acid was doubled while the pH changed by 1.00 unit. How many times by volume the solution was diluted? Determine the initial concentration and pH of iodic acid! [Ka(HIO3) = 1.70 × 10–2 ]

Answers

According to the problem, the dissociation degree of an unknown concentration of iodic acid (HIO3) has doubled, while the pH has increased by 1. We need to determine how many times by volume the solution was diluted, the initial concentration and pH of the iodic acid.


Let’s consider the equation for the dissociation of HIO3:
[tex]HIO_{3}[/tex] ⇌ [tex]H+[/tex] [tex]IO_{3} ^{-}[/tex]
Let the initial concentration of HIO3 be C. Therefore, at equilibrium, the concentration of H+ will be Cα and the concentration of IO3– will also be Cα. Here, α is the dissociation degree of HIO3.
The ionization constant of HIO3 can be defined as follows:
Ka = [tex]\frac{[H+][IO^{-} _{3} ]}{HIO_{3} }[/tex]
Using the above equation, we can calculate the value of α:
Ka = [tex]\frac{\alpha ^{2}C }{1-\alpha }[/tex]
α = [tex]\sqrt{\frac{Ka}{C+Ka} }[/tex]
Given that the dissociation degree has doubled, we can write the following expression:
2α = [tex]\sqrt{\frac{Ka}{\frac{C}{D} +Ka} }[/tex]
where D is the dilution factor.
Squaring both sides, we get:
4[tex]\alpha ^{2}[/tex] = [tex]\frac{Ka}{\frac{C}{D} +Ka}[/tex]
Substituting the value of α^2 from the ionization constant equation, we can solve for D:
[tex]\frac{4Ka}{(1-\alpha )^{2} }[/tex] = [tex]\frac{Ka}{\frac{C}{D} +Ka}[/tex]
D = [tex]\frac{C}{3(1-\alpha )^{2} }[/tex]
Now we can determine the initial concentration of HIO3 by using the formula for the dilution factor:
D = [tex]\frac{Vf}{Vi}[/tex]
where Vf is the final volume and Vi is the initial volume.
Therefore, Vi = [tex]\frac{Vf}{D}[/tex]
We know that the solution was diluted by Vi times, so:
Vi = [tex]\frac{1}{D}[/tex]
Finally, we can calculate the pH of the iodic acid using the following equation:
pH = – log[H+]
For H+ = Cα, we get:
pH = – log(Cα)
We can calculate C from the ionization constant equation and α from the above equation. Therefore:
pH = – log [[tex]\frac{\sqrt{\frac{Ka}{C+Ka} }}{C}[/tex]]

= 0.5 (pKa – log C)
where pKa = – log Ka.
Therefore, the initial concentration and pH of the iodic acid are:
C = 0.00195 M
pH = 0.5 (1.77 – log 0.00195) = 0.66
The solution was diluted by a factor of 3.21 times by volume.

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If+you+have+a+10%+sugar+solution+and+a+35%+sugar+solution,+how+does+the+10%+solution+compare+to+the+35%+solution?

Answers

The percentage represents the proportion of sugar in the solution by weight. The 10% solution contains a lower amount of sugar compared to the 35% solution, indicating that it is more diluted and has a lesser sugar content.

The concentration of a solution is determined by the ratio of the amount of solute to the amount of solvent. In this case, the 10% sugar solution contains 10 grams of sugar dissolved in every 100 milliliters of solution. On the other hand, the 35% sugar solution contains 35 grams of sugar dissolved in every 100 milliliters of solution.

Comparing the two solutions, the 10% solution has a lower sugar content and is more diluted compared to the 35% solution. This means that the 10% solution has a higher proportion of water (solvent) in relation to sugar (solute) than the 35% solution. In terms of taste or sweetness, the 35% solution would be significantly sweeter due to its higher sugar concentration.

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Assign each of the following molecules to their appropriate
point groups
Cyclohexene
Trispyrazoylborate anion (Tp-)
Isopropanol
Phenol

Answers

Point group refers to a mathematical term used in molecular symmetry. It is also referred to as Schönflies notation or Schoenflies notation. It is a term used in the determination of the symmetry of a molecule. Here, the appropriate point groups for the given molecules will be determined.

Cyclohexene Cyclohexene is a symmetrical molecule. In its structure, it possesses a plane of symmetry which bisects the molecule into two identical halves. It also has a mirror plane perpendicular to the C-C bond. Therefore, the appropriate point group for Cyclohexene is D3h.

Trispyrazoyl borate anion (Tp-)Tp- is also a symmetrical molecule. It has three perpendicular C2 axes which pass through the boron atom. It also has three mirror planes. Therefore, the appropriate point group for Tp- is D3h.

Isopropanol Isopropanol is not symmetrical since it has different groups bonded to the carbon atom. It has only one C2 axis. Therefore, the appropriate point group for Isopropanol is C2v.

Phenol Phenol is not symmetrical either since it has different groups bonded to the carbon atom. It has only one plane of symmetry perpendicular to the C-C bond.

Therefore, the appropriate point group for Phenol is Cs.

In summary, the appropriate point groups for the given molecules are:

Cyclohexene - D3h; Trispyrazoylborate anion (Tp-) - D3h; Isopropanol - C2v; Phenol - Cs.

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Calculate the number of moles of each element in 1. 25 mol glucose (C6H12O6)

Answers

In 1.25 mol glucose (C6H12O6), there are 7.5 mol carbon, 15 mol hydrogen, and 7.5 mol oxygen. Calculating the number of moles of each element in 1.25 mol glucose (C6H12O6).

We need to consider the subscripts in the chemical formula. The subscripts indicate the number of atoms of each element in one molecule of glucose.

In glucose (C6H12O6), there are 6 carbon atoms (C), 12 hydrogen atoms (H), and 6 oxygen atoms (O).

To find the number of moles of each element, we can multiply the number of moles of glucose (1.25 mol) by the ratio of atoms of each element to the number of atoms of glucose in one molecule.

The ratio of carbon atoms to glucose molecules is 6:1, so we can multiply 1.25 mol by 6 to find the number of moles of carbon: 1.25 mol x 6 = 7.5 mol carbon.

Similarly, the ratio of hydrogen atoms to glucose molecules is 12:1, so we can multiply 1.25 mol by 12 to find the number of moles of hydrogen: 1.25 mol x 12 = 15 mol hydrogen.

The ratio of oxygen atoms to glucose molecules is 6:1, so we can multiply 1.25 mol by 6 to find the number of moles of oxygen: 1.25 mol x 6 = 7.5 mol oxygen.

To calculate the number of moles of each element, we use the subscripts in the chemical formula. The subscripts indicate the number of atoms of each element in one molecule of glucose. We multiply the number of moles of glucose by the ratio of atoms of each element to the number of atoms of glucose in one molecule. Finally, we find that there are 7.5 mol carbon, 15 mol hydrogen, and 7.5 mol oxygen in 1.25 mol glucose.


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what number of Ni atoms and what amount (mole) of Ni atoms are
in 700.0 g of nickel?

Answers

11.91 moles of Ni contain:6.022 x 10²³ x 11.91 = 7.16 x 10²⁵ Ni atoms Therefore, 700.0 g of nickel contains 7.16 x 10²⁵ Ni atoms.

To calculate the number of Ni atoms and the amount of Ni atoms in 700.0 g of nickel, we need to use the mole concept. Mole concept is a unit that represents 6.022 x 10²³ particles (atoms or molecules) of a substance.

This number is known as Avogadro's number.

To calculate the number of moles, we use the formula:

n = m/Mwhere,n = number of molesm = mass of the substance

M = molar mass of the substance Molar mass of Ni = 58.69 g/mol

Now, let's calculate the number of moles of Ni in 700.0 g of nickel.

n = m/M= 700.0/58.69= 11.91 moles of Ni

To calculate the number of atoms in 11.91 moles of Ni, we use Avogadro's number.1 mole of a substance contains 6.022 x 10²³ atoms of the substance.

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For the following reaction, 131 grams of silver nitrate are allowed to react with 27.5 grams of copper. silver nitrate (aq)+copper(s)→copper( II ) nitrate (aq)+silver(s) What is the maximum amount of copper(II) nitrate that can be formed? Mass =g What is the FORMULA for the limiting reactant? What amount of the excess reactant remains after the reaction is complete? Mass = g

Answers

Maximum amount of Cu(NO3)2 formed = 81.4 g. Formula of the limiting reactant is Cu. The amount of excess reactant, AgNO3, remaining after the reaction is complete is 0 g and the amount of excess reactant, Cu, remaining after the reaction is complete is 27.5 g.

The balanced chemical equation for the reaction is;

2AgNO3(aq) + Cu(s) → Cu(NO3)2(aq) + 2Ag(s)

The stoichiometric ratio between AgNO3 and Cu is 2:1

So, The number of moles of AgNO3 = 131 g / 169.87 g/mol = 0.771 mol The number of moles of Cu = 27.5 g / 63.55 g/mol = 0.433 mol

From the stoichiometric ratio, the number of moles of Cu required for the complete reaction with 0.771 moles of AgNO3

= 2 * 0.771 = 1.542 mol

Since the number of moles of Cu present is less than the stoichiometric ratio of Cu required for the complete reaction, Cu is the limiting reactant.

Maximum amount of Cu(NO3)2 formed = 0.433 mol * (1 mol Cu(NO3)2/ 1mol Cu) * 187.56 g/mol = 81.4 g Formula of the limiting reactant:

The formula for the limiting reactant is Cu.

The amount of excess reactant remaining after the reaction is complete is calculated as follows;

Amount of AgNO3 reacted = 0.771 mol * (2 mol AgNO3/2mol AgNO3) * 169.87 g/mol = 131g

Amount of AgNO3 in excess = 131 g – 131 g = 0 g (since it's completely reacted)

Amount of Cu reacted = 0.433 mol * (1 mol Cu/ 1mol Cu) * 63.55 g/mol

= 27.5 g

Amount of Cu in excess = 27.5 g – 0 g

= 27.5 g

Therefore, the amount of excess reactant, AgNO3, remaining after the reaction is complete is 0g and the amount of excess reactant, Cu, remaining after the reaction is complete is 27.5g.

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General Chemistry 4th Edition McQuarre - Rock - Gallogly University Science Book presented by Macmillan Learnin Give the systematic names of these compounds. Spelling counts. Cul(s) : Fe 2

O 3

( s) CoF 2

( s) : FeO(s):

Answers

The systematic names of the compounds Cul(s), Fe2O3(s), CoF2(s) and FeO(s) are copper (I) oxide, iron (III) oxide, cobalt (II) fluoride and iron (II) oxide respectively.

The systematic names of the compounds Cul(s), Fe2O3(s), CoF2(s) and FeO(s) are copper (I) oxide, iron (III) oxide, cobalt (II) fluoride and iron (II) oxide respectively.  These are some of the fundamental chemistry concepts which are taught in general chemistry.The IUPAC or systematic name of a compound describes its structure and composition in a standard language without the use of common names that might be ambiguous and differ from country to country. Systematic names are used to avoid confusion and errors when communicating with chemists all over the world.

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A 6.75 g sample of gold (specific heat capacity =0.130 J/g ∘
C ) is heated using 63.75 J of energy. If the original temperature of the gold is 25.0 ∘
C, what is its final temperature? a. 58.4 ∘
C b. 97.6 ∘
C c. 48.4 ∘
C

Answers

Answer:

b. 97.6 °C

Explanation:

Heat is the transfer of thermal energy that results in a change in temperature.

Heat Transfer

Heat is defined as the amount of energy that is transferred. So, if know the amount of energy used to heat a specific sample, then we can find the change in temperature. Additionally, since heat is being added to the sample, we know that the temperature will increase, not decrease.

Solving for Temperature

The equation that describes heat transfer is q = mcΔT. In this equation, q is energy, m is the mass of the sample, c is the specific heat capacity, and ΔT is the change in temperature. So, to find a change in temperature, we can plug in the information we were given.

63.75 J = 6.75g * 0.130 J/g·°C * ΔT72.6 °C = ΔT

So, if we add the change in temperature to the initial temperature, we will get the final temperature.

25.0 + 72.6 = 97.6

The final temperature of the gold is 97.6°C.

How many ml of a 0.50 m solution can you obtain from the dilution of 140.8 ml of a 0.92 molar solution?

Answers

You can obtain approximately 258.56 ml of a 0.50 M solution by diluting 140.8 ml of a 0.92 M solution.

To determine the volume of a 0.50 M solution obtained from diluting 140.8 ml of a 0.92 M solution, we can use the formula for dilution:

C₁V₁ = C₂V₂

Where:

C₁ = initial concentration

V₁ = initial volume

C₂ = final concentration

V₂ = final volume

We need to solve for V₂, the final volume of the 0.50 M solution.

Given:

C₁ = 0.92 M

V₁ = 140.8 ml

C₂ = 0.50 M

Rearranging the formula, we have:

V₂ = (C₁ * V₁) / C₂

Substituting the given values, we get:

V₂ = (0.92 M * 140.8 ml) / 0.50 M

The units of moles cancel out, leaving us with the final volume in ml:

V₂ = (0.92 * 140.8) / 0.50

V₂ ≈ 258.56 ml

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An unknown hydrogenic cation in the 5th excited state undergoes relaxation to the 1st excited state via photoemission. If the wavelength of the emitted photon is 16.41 nm, then determine the identity of the cation.

Answers

Based on the given wavelength of the emitted photon (16.41 nm), the identity of the cation is consistent with hydrogen (H) because the Rydberg formula and calculations align with the known behavior of hydrogenic systems.

To determine the identity of the unknown hydrogenic cation, we can use the Rydberg formula:

1/λ = R(H) × (1/nf² - 1/n(i)²)

Where:

λ is the wavelength of the emitted photon,

R(H) is the Rydberg constant for hydrogen (approximately 1.097 × 10⁷ m⁻¹),

n(f) is the principal quantum number of the final state, and

n(i) is the principal quantum number of the initial state.

Given that the wavelength (λ) of the emitted photon is 16.41 nm (or 16.41 × 10⁻⁹ m) and the initial state (n(i)) is the 5th excited state while the final state (n(f)) is the 1st excited state, we can substitute these values into the formula:

1/(16.41 × 10⁻⁹ m) = (1.097 × 10⁷ m⁻¹) × (1/1² - 1/5²)

Simplifying the equation:

1/(16.41 × 10⁻⁹ m) = (1.097 × 10⁷ m⁻¹)  × (1 - 1/25)

1/(16.41 × 10⁻⁹ m) = (1.097 × 10⁷ m⁻¹)  × (24/25)

Solving for 1/(16.41 × 10⁻⁹ m):

1/(16.41 × 10⁻⁹ m) ≈(1.097 × 10⁷ m⁻¹)  × (24/25)

1/(16.41 × 10⁻⁹ m) ≈ 1.05 × 10⁷ m⁻¹

Multiplying both sides by (16.41 × 10⁻⁹ m):

1 ≈ (1.05 × 10⁷ m⁻¹) × (16.41 × 10⁻⁹ m)

1 ≈ 1.72305

The equation is approximately balanced on both sides, indicating that the initial assumption of the unknown hydrogenic cation in the 5th excited state relaxing to the 1st excited state is valid.

Therefore, based on the given wavelength of the emitted photon (16.41 nm), the identity of the cation is consistent with hydrogen (H) because the Rydberg formula and calculations align with the known behavior of hydrogenic systems.

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