A student calculated an acid dissociation constant Ka of 0.00012 for benzoic acid while studying a benzoic acid and sodium benzoate buffer system. The accepted Ka for benzoic acid is 6.4 x 10-5. What is the percent error in the student's calculation? Type answer:

Explanation:

To find the empirical formula of the compound, we need to determine the simplest whole-number ratio of the atoms in the compound.

First, we need to find the number of moles of Ag, N, and O relative to each other. The smallest number of moles is used as a reference point, and the other moles are divided by this value to get their ratios:

0.58 mol Ag : 0.58 mol N : 1.79 mol O

Dividing each mole value by 0.58 mol (the smallest number of moles), we get:

1 mol Ag : 1 mol N : 3.09 mol O

We can see that the ratio of Ag:N:O is 1:1:3.09. However, we need to express the ratio in whole numbers, so we divide each number by the smallest number in the set of ratios:

1 : 1 : 3.09/1.00 ≈ 3.

Rounding to the nearest whole number, we get the empirical formula of the compound:

AgN3O3

Therefore, the empirical formula of the compound is AgN3O3.

Answer:

The name of the covalent compound Cl₂O is dichlorine monoxide.

Hope this helps!

The equilibrium molarity of (SO4)2- ion is 0.00051 M.

The sulfuric acid (H2SO4) dissociates in water as follows:H2SO4 + H2O ⇌ H3O+ + HSO4-HSO4- ⇌ H+ + SO42-

Therefore, the equilibrium molarity of (SO4)2- ion can be determined by first calculating the concentration of H+ ions formed in the solution due to the dissociation of H2SO4.

For the given solution with a concentration of 0.043 M sulfuric acid, the initial concentration of H2SO4 is also 0.043 M.

Using the first dissociation equation:

[H2SO4] = [H3O+] + [HSO4-]

At equilibrium, assuming x moles of H+ ions and HSO4- ions are formed:

[H2SO4] = (0.043 - x) M[H3O+] = x M[HSO4-] = (0.043 - x) M

Using the second dissociation equation:[HSO4-] = [H+] * [SO42-] / Ka2

where Ka2 is the dissociation constant for the second dissociation of sulfuric acid.

From the ALEKS Data resource, Ka2 for sulfuric acid is

1.2 × 10^-2.

Substituting the values:

(0.043 - x) = x * [SO42-] / Ka2

Rearranging:

[SO42-] = (0.043 - x) * Ka2 / x

At equilibrium, the concentration of (SO4)2- ion is given by:[SO42-] = (0.043 - x) * Ka2 / x

Substituting the equation from the first dissociation:

[SO42-] = (0.043 - x) * Ka2 / x

[SO42-] = (0.043 - x) * 1.2 × 10^-2 / x

Simplifying:[SO42-] = 0.000516 - 0.012x

To solve for x, the quadratic equation:

x^2 + Ka2x - Ka2[HSO4-]initial = 0 can be used,

where [HSO4-]initial is the initial concentration of HSO4- ions, which is 0.043 M.

Solving the quadratic equation gives x = 4.4 × 10^-4 M.

Therefore, the equilibrium concentration of (SO4)2- ion is:

[SO42-] = 0.000516 - 0.012x

[SO42-] = 0.000516 - 0.012(4.4 × 10^-4)

[SO42-] = 0.000510 M

Rounding off to 2 significant figures, the equilibrium molarity of (SO4)2- ion is 0.00051 M.

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There are 4 sulfur atoms and 2 phosphorus atoms in the compound. The molecular formula is then S4P2.

Sulfur is a nonmetallic element that is essential for life. It is found in nature in several forms and has a variety of uses. Sulfur is an essential component of proteins and is found in all living organisms. It is also present in the cells of plants, animals, and humans, and is important for the functioning of enzymes and hormones.

The empirical formula of the compound is S2P. This is found by taking the mass of each element and dividing it by the atomic mass of the element, and then dividing that result by the smallest value. So, for sulfur, we divide 50.9% by 32.065 (the atomic mass of sulfur) to get 1.58, which is then divided by 1.58 to get 1. For phosphorus, we divide 49.1% by 30.9737 (the atomic mass of phosphorus) to get 1.58, which is then divided by 1.58 to get 1. The molecular formula of the compound is S4P2. This is found by taking the molar mass of the compound (252 g/mol) and dividing it by the molar mass of the empirical formula (2 x 32.065 + 1 x 30.9737) to get 4. This means there are 4 sulfur atoms and 2 phosphorus atoms in the compound. The molecular formula is then S4P2.

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The effect of increasing pressure on the given equilibrium reaction:

H₂(g) + CO₂(g) + heat ⇌ H₂O(g) + CO(g)

is determined by the stoichiometry of the reaction and the number of moles of gas on each side of the equation.

On the left-hand side, there are two moles of gas (H₂ and CO₂), whereas on the right-hand side, there are only one mole of gas (CO). Therefore, increasing the pressure will shift the equilibrium towards the side with fewer moles of gas, in order to decrease the overall pressure.

In this case, the reaction will shift towards the right, towards the products, to decrease the pressure. Therefore, the correct answer is:

B. In order to restore equilibrium, the reaction shifts right, toward products.

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Answer:

Explanation:

8.5x10^24molecules x[tex]\frac{1 mol}{6.022x10^2^3 molecules}[/tex] = 14.1 moles NO2

Original unit of molecules cancels with the conversion unit of molecules = moles and you are left with moles as your final unit.

The beakers that we can see that electrolysis is going on are in beakers B and C

Electrolysis is a process in which an electric current is passed through a substance to produce a chemical reaction. The substance being electrolyzed is usually an electrolyte, which is a liquid or solution that contains ions.

The electric current causes the ions in the electrolyte to move towards the electrodes (conducting surfaces) where they either gain or lose electrons, depending on the nature of the electrode and the ions. This causes chemical reactions to occur at the electrodes, leading to the formation of new substances.

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Cancelling units, also referred to to be "unit analysis" as well as "dimensional analysis,"  atm / mol × (atm ×L/mol × K) = atm / (atm ×L/ K)

A conversion factor (described in the form of a fractions, ) is considered as possessing a value of "1" for the purposes of transforming between units. Cancelling units, also referred to to be "unit analysis" as well as "dimensional analysis," depends on the principles that multiplying a thing by "1" does not alter the value, that any amount divided through a single value equals "1," and that any value allocated by itself.

A)  atm / mol × (atm ×L/mol × K)

cancel the mole by mole

atm / (atm ×L/ K)

B)  (mol × (atm×L / mol × K) × K ) / L

cancel the mole by mole

(atm×L /  K) × K ) / L

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It takes about 1.41 × 10⁵ years for 95% of the Plutonium-239 (Pu-239) in spent fuel to decay.

To calculate the time it takes for 95% of Plutonium-239 (Pu-239) to decay, we can use the formula for radioactive decay:

[tex]N_{t} =N_{o}[/tex] × e^(-λt)

where [tex]N_{t}[/tex] is the amount of radioactive material remaining after time t, [tex]N_{o}[/tex] is the initial amount of radioactive material, λ is the decay constant, and e is the mathematical constant equal to about 2.718.

We can solve for t when [tex]N_{t}[/tex] is 0.05N0 (95% decay) and substitute the values for λ and the half-life of Pu-239:

0.05N0 = N × [tex]e^{(-0.693/t1/2 * t)}[/tex]

0.05 = [tex]e^{(-0.693/2.41 * 10^4 * t)}[/tex]

ln(0.05) = -0.693/2.41 × 10⁴ × t

t = 1.41 × 10⁵ years

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the molar concentration of solution B is 0.102 mol/dm³, the relative molar mass of X₂CO₃ is approximately 106 g/mol, and the atomic mass of the element X is approximately 24 g/mol.

How to solve the question?

To solve this problem, we will use the concept of neutralization reaction. In a neutralization reaction, an acid reacts with a base to form a salt and water. The balanced equation for the reaction between an acid and a carbonate is:

H₂SO₄ + X₂CO₃ → X₂(SO₄) + CO₂ + H₂O

where H₂SO₄ is the acid and X₂CO₃ is the carbonate.

We are given that 25.50 cm³ of the acid solution reacts with 25 cm³ of the carbonate solution B. From this, we can calculate the moles of acid used:

Moles of acid = concentration × volume = 0.1 mol/dm³ × 0.02550 dm³ = 0.00255 mol

Since the acid reacts with the carbonate in a 1:1 ratio, we know that 0.00255 mol of X₂CO₃ were present in the 25 cm³ of solution B. We can use this information to find the molar concentration of solution B:

Molar concentration of solution B = moles of X₂CO₃ / volume of solution B

= 0.00255 mol / 0.025 dm³ = 0.102 mol/dm³

To find the relative molar mass of X₂CO₃, we need to know its molecular formula. X₂CO₃ is a binary compound containing two atoms of X, one atom of carbon, and three atoms of oxygen. The relative molecular mass of X₂CO₃ can be calculated as follows:

Relative molecular mass of X₂CO₃ = 2 × relative atomic mass of X + relative atomic mass of C + 3 × relative atomic mass of O

= 2X + 12 + 3(16)

= 2X + 60

To find the atomic mass of X, we need to solve for X in the equation above. We can do this by rearranging the equation:

2X + 60 = relative molecular mass of X₂CO₃

2X = relative molecular mass of X₂CO₃ - 60

X = (relative molecular mass of X₂CO₃ - 60) / 2

Substituting the given value for the relative molecular mass of X₂CO₃, we get:

X = (2 × 105.99 - 60) / 2 = 23.995

Therefore, the atomic mass of the element X is approximately 24 g/mol.

In summary, the molar concentration of solution B is 0.102 mol/dm³, the relative molar mass of X₂CO₃ is approximately 106 g/mol, and the atomic mass of the element X is approximately 24 g/mol.

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Answer:

152.57 g

Explanation:

The balanced chemical equation for the reaction between calcium and nitrogen gas to form calcium nitride is:

3Ca + N2 → Ca3N2

From the balanced equation, we can see that the mole ratio between calcium and calcium nitride is 3:1. This means that 3 moles of calcium react to form 1 mole of calcium nitride.

First, let's calculate the number of moles of calcium and nitrogen gas given:

Mass of calcium = 56.6 g

Molar mass of calcium (Ca) = 40.08 g/mol

Moles of calcium = Mass of calcium / Molar mass of calcium = 56.6 g / 40.08 g/mol = 1.41 mol

Mass of nitrogen gas = 30.5 g

Molar mass of nitrogen gas (N2) = 28.02 g/mol

Moles of nitrogen gas = Mass of nitrogen gas / Molar mass of nitrogen gas = 30.5 g / 28.02 g/mol = 1.09 mol

Since the reaction has a 90% yield, only 90% of the limiting reactant (which is calcium in this case) will be converted to product. Therefore, we need to multiply the moles of calcium by 0.90 to account for the yield:

Moles of calcium nitride formed = Moles of calcium x Yield = 1.41 mol x 0.90 = 1.27 mol

Now, using the mole ratio from the balanced equation, we can determine the mass of calcium nitride formed:

Molar mass of calcium nitride (Ca3N2) = 40.08 g/mol (molar mass of calcium) x 3 + 14.01 g/mol (molar mass of nitrogen) x 2 = 120.25 g/mol

Mass of calcium nitride formed = Moles of calcium nitride formed x Molar mass of calcium nitride = 1.27 mol x 120.25 g/mol = 152.57 g

So, the mass of calcium nitride formed in the reaction is 152.57 g.

Answer:

Explanation:

Ah, the unpredictable nature of chemical reactions - always keeping us on our toes! If some sodium bicarbonate is left unreacted in a chemical reaction, it can certainly have an impact on the percent yield of the reaction.

Now, let's get a little bit technical. Percent yield is a measure of the efficiency of a chemical reaction, and it's calculated by comparing the actual yield of the reaction (i.e., the amount of product actually obtained) to the theoretical yield of the reaction (i.e., the amount of product that should be obtained based on stoichiometry). The formula for percent yield is:

Percent yield = (actual yield / theoretical yield) x 100%

If some sodium bicarbonate is left unreacted, it means that there was not enough reactant available to fully consume all of the other reactants and produce the maximum possible amount of product. As a result, the actual yield of the reaction will be lower than the theoretical yield, and the percent yield will also be lower.

In other words, if there is unreacted sodium bicarbonate in a reaction mixture, the percent yield of the reaction will be lower than it would be if all of the reactants were consumed completely. This is because the presence of unreacted sodium bicarbonate means that some of the other reactants did not have the opportunity to react fully and produce the maximum amount of product.

So, in short, if some sodium bicarbonate is left unreacted in a chemical reaction, the percent yield of the reaction will be lower. But hey, chemistry is all about experimentation and learning from our mistakes, so there's always room for improvement in the next reaction!

Voltaic or galvanic (spontaneous) cells are denoted by cell notations in shorthand is cathode.

Thus, This special shorthand describes the anode, cathode, and electrode components as well as the reaction circumstances.

Recall that reduction occurs at the cathode whereas oxidation occurs at the anode. Electrons go from the anode to the cathode when the anode and cathode are connected by a wire.

First, the cathode half-cell is detailed, then the anode half-cell. The reactants are mentioned first and the products are specified last within a specific half-cell.

Thus, Voltaic or galvanic (spontaneous) cells are denoted by cell notations in shorthand is cathode.

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Answer:

Explanation:

to balance the given chemical equation using the oxidation state change method, we need to follow these steps:Step 1: Write the unbalanced equationKMnO4 + KCl + H2SO4 → K2SO4 + MnSO4 + Cl2Step 2: Identify the elements that undergo oxidation and reductionIn this equation, the oxidation state of Mn changes from +7 to +2, which means it undergoes reduction, while the oxidation state of Cl changes from -1 to 0, which means it undergoes oxidation.Step 3: Write the half-reactionsReduction half-reaction: MnO4^- → Mn^2+Oxidation half-reaction: Cl^- → Cl2Step 4: Balance the atoms and charges in each half-reactionReduction half-reaction: 8H+ + MnO4^- → Mn^2+ + 4H2OOxidation half-reaction: 2Cl^- → Cl2 + 2e^-Step 5: Balance the electrons in each half-reactionReduction half-reaction: 5e^- + 8H+ + MnO4^- → Mn^2+ + 4H2OOxidation half-reaction: 2Cl^- → Cl2 + 2e^-Step 6: Multiply each half-reaction by a factor to equalize the number of electrons transferredReduction half-reaction: 10e^- + 16H+ + 2MnO4^- → 2Mn^2+ + 8H2OOxidation half-reaction: 14Cl^- → 7Cl2 + 14e^-Step 7: Add the balanced half-reactions together10e^- + 16H+ + 2MnO4^- + 14Cl^- → 2Mn^2+ + 8H2O + 7Cl2Step 8: Cancel out the common terms on both sides of the equation2KMnO4 + 16KCl + 8H2SO4 → 2K2SO4 + 2MnSO4 + 7Cl2 + 8H2OTherefore, the balanced equation using the oxidation state change method is:2KMnO4 + 16KCl + 8H2SO4 → 2K2SO4 + 2MnSO4 + 7Cl2 + 8H2O.

9.77 litres of NO2 are generated on average.

The balanced equation for the breakdown of N2O5 is as follows:

[tex]2N_2O_5(g) -- > 4NO_2(g) + O_2(g)[/tex]

determine how many moles of N2O5 decompose:

[tex]V(N_2O_5) / Vm = n(N_2O_5)(N_2O_5)[/tex]

where V(N2O5) = 4.86 dm3 is N2O5's volume and Vm(N2O5) is N2O5's molar volume under the circumstances stated in the ideal gas law:

[tex](R*T)/P = Vm = V/n[/tex]

when the gas constant R is used.

the kelvin scale of temperature, T

The pressure is P.

The ideal gas law:

[tex]n(N_2O_5) = V(N2O5) / Vm(N_2O_5) = 4.86 dm3 / (24.46 L/mol) = 0.1982 mol[/tex]

the number of moles of NO2 is:

[tex]n(NO_2 = 4/2 * n(N_2O_5) = 0.3964 mol[/tex]

then,

[tex]n(NO_2 = 4/2 * n(N_2O_5) = 0.3964 mol[/tex]

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Additional gold(III) chloride is added to the beaker. This would cause the concentration of the solution to increase. Therefore, the correct option is option A.

Concentration in chemistry refers to the quantity of a material in a certain area. The ratio of the solute within a solution to the solvent or whole solution is another way to define concentration. In order to express concentration, mass / unit volume is typically used.

The solute concentration can, however, alternatively be stated in moles or volumetric units. Concentration may be expressed as per unit mass rather than volume. Although concentration is typically used to describe chemical solutions, it may be computed for any mixture. Additional gold(III) chloride is added to the beaker. This would cause the concentration of the solution to increase.

Therefore, the correct option is option A.

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The volume of the balloon at a height of 20 km is approximately 296,837 L.

To find the new volume of the balloon, we can use the combined gas law equation:

(P1V1/T1) = (P2V2/T2)

Where P1 is the initial pressure, V1 is the initial volume, T1 is the initial temperature, P2 is the final pressure, V2 is the final volume, and T2 is the final temperature.

Substituting the given values:

(P1) (V1) / (T1) = (P2) (V2) / (T2)

(0.98 atm) (14,100 L) / (294 K) = (0.08 atm) (V2) / (225 K)

Simplifying:

V2 = [(0.98 atm) (14,100 L) (225 K)] / [(0.08 atm) (294 K)]

V2 ≈ 296,837 L

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The balanced molecular chemical equation for the reaction in aqueous solution for sodium hydroxide and tin (IV) acetate is 4 NaOH (aq) + Sn (CH[tex]_3[/tex]COO) (aq) → Sn (OH)(s) + 4 CH[tex]_3[/tex]COONa (aq) .

An equation per a chemical reaction is said to be balanced if both the reactants plus the products have the same number of atoms and total charge for each component of the reaction. In other words, each component of the reaction have an equal balance of mass and charge. The balanced molecular chemical equation for the reaction in aqueous solution for sodium hydroxide and tin (IV) acetate is 4 NaOH (aq) + Sn (CH[tex]_3[/tex]COO) (aq) → Sn (OH)(s) + 4 CH[tex]_3[/tex]COONa (aq) .

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True. Standard temperature and pressure (STP) is a standard set of conditions used for comparing properties of different gases.

A set of standardized settings known as standard temperature and pressure (STP) is used to compare the characteristics of various gases. The standard pressure is approximately atmospheric pressure at sea level, which is equal to 101.325 kPa or 1 atmosphere, while the standard temperature is 0°C or 273.15 K. (atm). When comparing the physical characteristics of various gases, such as molar volume, density, and compressibility, STP is frequently used in physics and chemistry to determine how gases behave under normal conditions. It is crucial to remember that STP is not a set of rigid requirements, and various companies may specify STP using slightly varying numbers for temperature and pressure.

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In order to understand how digestion of nutrients occurs, or how nutrients are used to provide cellular energy, it is necessary to understand C. chemistry.

Chemistry is the branch of science that deals with the composition, properties, and interactions of matter. In the context of digestion and cellular energy, chemistry is essential because it provides the foundation for understanding the chemical reactions that occur within the body.

For example, the digestion of nutrients involves the breakdown of complex molecules such as carbohydrates, proteins, and fats into simpler molecules that can be absorbed and utilized by the body.

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An anatom with 5 protons, 10 neutrons, and 10 electrons is unstable and has a charge of +5. This is because the number of protons (positive charge) in the nucleus is greater than the number of electrons (negative charge) in the outer shell,resulting in a net positive charge. The excess positive charge makes the atom unstable and more likely to react with other atomsbor lose electrons to become a positively charged ion.

6 moles will have 12 equivalents of PO₄²⁻

The mole is an amount unit similar to familiar units like pair, dozen, gross, etc. It provides a specific measure of the number of atoms or molecules in a bulk sample of matter.

A mole is defined as the amount of substance containing the same number of atoms, molecules, ions, etc. as the number of atoms in a sample of pure 12C weighing exactly 12 g.

1 mole of Mg₃(PO₄)₂ has 2 equivalents of PO₄²⁻.

Thus, 6 moles will have 2 × 6 = 12 equivalents of PO₄²⁻

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Answer:

D) strontium, silicon

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the stability of hydrogen peroxide under normal storage conditions despite its negative ΔG° for decomposition can be attributed to the relatively high activation energy required for the reaction to occur.

How to solve the question?

The fact that the ΔG° for the decomposition of hydrogen peroxide (H2O2) is negative (-234 KJ/molrxn) indicates that the reaction is thermodynamically favorable, meaning that the products (water and oxygen gas) are more stable than the reactant (hydrogen peroxide). However, as mentioned in the question, hydrogen peroxide is typically stable for up to a year when stored in a dark bottle at 298K, which seems to contradict the thermodynamic prediction.

The best explanation for this observation is option D: the decomposition of hydrogen peroxide has a slow rate at 298 K because the activation energy is relatively high. Even though the reaction is thermodynamically favorable, it may not occur spontaneously at room temperature because the activation energy required to break the O-O bond in hydrogen peroxide is relatively high. This means that a significant amount of energy is needed to initiate the reaction and form the products, and at room temperature, the rate of the reaction is too slow for any significant decomposition to occur over a period of one year.

Additionally, the reaction is not reversible (option C) because the entropy of the system decreases due to the formation of liquid water from hydrogen peroxide and the release of oxygen gas. Option A is also incorrect because the decomposition of hydrogen peroxide does not require a catalyst to occur, although a catalyst can increase the rate of the reaction by lowering the activation energy.

In summary, the stability of hydrogen peroxide under normal storage conditions despite its negative ΔG° for decomposition can be attributed to the relatively high activation energy required for the reaction to occur.

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The concept Beckmann rearrangement is used here in order to show the reaction between acetophenone (AKA methyl phenyl ketone) and sodium trifluoroperacetate. The product formed is acetaminophen.

In simple Beckmann rearrangement is a reaction in which oxime is changed to an amide under some acidic conditions. The oxime is obtained by treating an aldehyde or a ketone with hydroxylamine.

This Beckmann rearrangement reaction is named after Ernst Otto Beckmann who is a German scientist. It is used for producing various drugs and steroids.

The mechanism of the Beckmann reaction is given below:

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Answer:

To find the empirical formula of the compound, we need to determine the simplest whole-number ratio of atoms in the molecule.

First, we can assume that we have 100 grams of the compound, and calculate the number of moles of each element present in it:

Carbon: 40.8 g / 12.011 g/mol = 3.398 mol

Hydrogen: 5.8 g / 1.008 g/mol = 5.753 mol

Oxygen: 53.4 g / 15.999 g/mol = 3.337 mol

Next, we divide each of these values by the smallest one, which is 3.337, to get the mole ratio:

Carbon: 3.398 mol / 3.337 mol = 1.019

Hydrogen: 5.753 mol / 3.337 mol = 1.723

Oxygen: 3.337 mol / 3.337 mol = 1.000

Rounding these values to the nearest whole number, we get the empirical formula: C1.0H1.7O1.0, which can be simplified to CH1.7O.

To find the molecular formula, we need to know the actual molecular mass of the compound. We can estimate it by adding the atomic masses of the elements in the empirical formula:

Carbon: 1 x 12.011 = 12.011

Hydrogen: 1.7 x 1.008 = 1.714

Oxygen: 1 x 15.999 = 15.999

Total = 29.724 g/mol (approx.)

The molecular mass is close to 180 g/mol, which suggests that the actual molecular formula is a multiple of the empirical formula. Dividing 180 by 29.724, we get a value of about 6.05. Multiplying the subscripts in the empirical formula by this value, we get the molecular formula: C6H10.2O6, which can be further simplified to C3H5.1O3.

The compound with the empirical formula CH1.7O and the molecular formula C3H5.1O3 is commonly known as glyoxylic acid.

We can solve this problem using the principle of conservation of energy, which states that the total energy of an isolated system remains constant.

The heat lost by the brass is equal to the heat gained by the water:

heat lost by brass = heat gained by water

The heat lost by the brass can be calculated as:

Qbrass = mbrass × cbrass × ΔT

where mbrass is the mass of the brass, cbrass is its specific heat, and ΔT is the change in temperature of the brass.

The heat gained by the water can be calculated as:

Qwater = mwater × cwater × ΔT

where mwater is the mass of the water, cwater is its specific heat, and ΔT is the change in temperature of the water.

Since the brass and water reach a final temperature of 35°C, we know that:

ΔT = Tfinal - Tinitial = 35°C - 25°C = 10°C

Plugging in the given values, we get:

Qbrass = mbrass × cbrass × ΔT = (0.125 kg) × cbrass × (10°C) = 1.25 cbrass J

Qwater = mwater × cwater × ΔT = (0.076 kg) × (4.184 J/g°C) × (10°C) = 31.97 J

Since Qbrass = Qwater, we can set the two equations equal to each other and solve for cbrass:

1.25 cbrass J = 31.97 J

cbrass = 31.97 J / 1.25 J/kg°C = 25.58 J/kg°C

Therefore, the specific heat of the brass sample is 25.58 J/kg°C.

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Adding more gold (III) chloride to the beaker would increase the number of moles of solute in the solution while keeping the volume of the solution constant, option A is correct.

Adding more solute (gold (III) chloride) to a fixed volume of solvent (water) increases the concentration of the solution would result in an increase in the concentration of the solution.

The concentration of a solution is defined as the amount of solute dissolved in a given amount of solvent. When more solute is added to the solution, the amount of solute per unit volume of the solution increases, leading to an increase in concentration, option A is correct.

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Purple light that is absorbed has a frequency of 7.23 1014 s-1.

1. The wavelength of the absorbed light can be determined using the equation c = v, where c is the speed of light, is the wavelength, and v is the frequency. We arrive at = c/v by rearranging the equation to account for. By substituting the values, we arrive at = 4.14 10-7 m, or 414 nm.

2. The FM station's frequency is 102 MHz, or 102 106 Hz. The wavelength of the radio waves can be determined using the equation v = f, where v is the speed of light, f is the frequency, and is the wavelength. We arrive at = v/f by rearranging the equation to account for. When the values are substituted, we obtain = 2.94 m, 2.94 109 nm, or 29400.

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