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Questions and Answers

What volume does one mole of an ideal gas occupy at Standard Temperature and Pressure (STP)?

  • 11.2 dm
  • 22.4 dm (correct)
  • 44.8 dm
  • 33.6 dm

Which formula is used to calculate the volume of a gas ($V_g$) given the number of moles ($n_g$) at STP?

  • $V_g = 44.8 imes n_g$
  • $V_g = 11.2 imes n_g$
  • $V_g = 22.4 + n_g$
  • $V_g = 22.4 imes n_g$ (correct)

In the context of reactions involving gases, what do the variables 'a' and 'b' represent in the formula $V_A = \frac{a}{b} V_B$?

  • The molar masses of gases A and B, respectively.
  • The atomic masses of gases A and B, respectively.
  • The stoichiometric coefficients of gases A and B, respectively. (correct)
  • The partial pressures of gases A and B, respectively.

What is the formula for calculating the concentration ((C)) of a solution?

<p>$C = \frac{n}{V}$ (B)</p> Signup and view all the answers

In a titration, what do (C_A) and (V_A) represent in the equation $C_A V_A = \frac{C_B V_B}{a}$?

<p>Concentration and volume of solution A, respectively. (A)</p> Signup and view all the answers

What is the significance of stoichiometric calculations in chemical reactions?

<p>To calculate the amounts of reactants and products involved. (A)</p> Signup and view all the answers

What is a limiting reagent in a chemical reaction?

<p>The reactant that is completely consumed first. (A)</p> Signup and view all the answers

How is percent yield calculated?

<p>((Actual Yield \div Theoretical Yield)) 100 (C)</p> Signup and view all the answers

Which formula represents percent purity?

<p>$(\frac{\text{Mass of Pure Compound}}{\text{Mass of Sample}}) imes 100$ (B)</p> Signup and view all the answers

What is the key difference between an empirical and a molecular formula?

<p>Empirical formula shows the simplest wholenumber ratio of atoms, while the molecular formula shows the actual number of atoms. (B)</p> Signup and view all the answers

In the context of gaseous reactions, what does the ideal gas law primarily relate?

<p>The pressure, volume, temperature, and number of moles of a gas. (B)</p> Signup and view all the answers

At STP, what volume does one mole of an ideal gas occupy?

<p>22.4 L (B)</p> Signup and view all the answers

In stoichiometric calculations for gaseous reactions, what role do the coefficients in a balanced chemical equation play?

<p>They indicate the ratio of moles of reactants and products. (A)</p> Signup and view all the answers

What is the first step in solving problems involving gaseous reactions?

<p>Determine the molar mass of the gaseous reactant. (A)</p> Signup and view all the answers

A reaction produces 44.8 dm of a gas at STP. How many moles of the gas were produced?

<p>2 moles (A)</p> Signup and view all the answers

If 10.0 g of magnesium reacts with excess hydrochloric acid, what is the limiting reagent?

<p>Magnesium (B)</p> Signup and view all the answers

Consider the reaction: $2H_2(g) + O_2(g) \rightarrow 2H_2O(g)$. If you start with 4.0 L of $H_2$ and excess $O_2$ at STP, what volume of $H_2O$ is produced, assuming complete conversion?

<p>4.0 L (A)</p> Signup and view all the answers

A compound is found to contain 40.0% carbon, 6.7% hydrogen, and 53.3% oxygen by mass. What is its empirical formula?

<p>$\text{CH}_2\text{O}$ (C)</p> Signup and view all the answers

In determining the empirical formula, why do we assume 100 grams of the compound?

<p>To easily convert percentage composition directly to grams. (C)</p> Signup and view all the answers

A reaction has a theoretical yield of 50.0 grams, but only 40.0 grams of product are actually obtained. What is the percent yield?

<p>80% (C)</p> Signup and view all the answers

A sample of sodium chloride (NaCl) is contaminated with sand. If 5.0 grams of the sample contains 4.0 grams of NaCl, what is the percent purity of NaCl in the sample?

<p>80% (B)</p> Signup and view all the answers

A compound has an empirical formula of $CH_2O$ and a molar mass of 180 g/mol. What is its molecular formula?

<p>$C_6H_{12}O_6$ (C)</p> Signup and view all the answers

During a combustion reaction, 10 L of methane ($CH_4$) reacts completely with oxygen at STP. What volume of carbon dioxide ($CO_2$) is produced?

<p>10 L (B)</p> Signup and view all the answers

A chemist performs a titration to determine the concentration of an unknown solution of hydrochloric acid (HCl) using a standardized solution of sodium hydroxide (NaOH). The balanced chemical equation is: $HCl(aq) + NaOH(aq) \rightarrow NaCl(aq) + H_2O(l)$. The chemist finds that 20.0 mL of 0.10 M NaOH is required to neutralize 10.0 mL of the HCl solution. However, during the experiment, the chemist mistakenly added 2.0 mL of distilled water to the HCl solution before titrating. What 'correction' is used to account for this error?

<p>Adjust the volume of HCl in the calculation to reflect the dilution by the added water. (B)</p> Signup and view all the answers

During a complex synthesis, a graduate student lost a significant amount of their final product due to spillage. The initial calculation predicted a mass of 12.0 grams, but they only managed to collect 2.5 grams. To 'conceal' this error, they calibrated the laboratory balance so the recorded mass appeared closer to the expected outcome. When challenged by their professor, what complex reasoning would they need to use to determine the weight?

<p>There is not a proper way to calculate this. (D)</p> Signup and view all the answers

What is the standard temperature and pressure (STP) defined as for molar volume calculations?

<p>0C and 101.3 kPa (D)</p> Signup and view all the answers

Using the ideal gas law, what is the calculated volume occupied by one mole of an ideal gas at STP?

<p>22.4 dm (A)</p> Signup and view all the answers

If you have 0.5 moles of an ideal gas at STP, what volume will it occupy?

<p>11.2 dm (C)</p> Signup and view all the answers

In the formula $V_A = rac{a}{b} V_B$ for gaseous reactions, what do 'a' and 'b' represent?

<p>Stoichiometric coefficients of gases A and B respectively (D)</p> Signup and view all the answers

What is the formula for calculating the concentration of a solution in moldm?

<p>$C = rac{n}{V}$ (D)</p> Signup and view all the answers

In a titration, the equation $C_A V_A = rac{C_B V_B}{a}$ is given. What does 'a' represent in this context?

<p>Stoichiometric coefficient of solution B (A)</p> Signup and view all the answers

What is the role of stoichiometric calculations in chemical reactions?

<p>To determine the amounts of reactants and products (D)</p> Signup and view all the answers

Which of the following best describes a limiting reagent in a chemical reaction?

<p>The reactant that is completely consumed. (B)</p> Signup and view all the answers

How is the percent yield of a reaction calculated?

<p>$\left( rac{ ext{Actual Yield}}{ ext{Theoretical Yield}} ight) imes 100$ (B)</p> Signup and view all the answers

In the ideal gas law, $PV = nRT$, what does 'R' represent?

<p>Ideal gas constant (D)</p> Signup and view all the answers

What is the first step in determining the empirical formula of a compound from its percent composition?

<p>Assume 100 grams of the compound. (D)</p> Signup and view all the answers

What is the formula for percent purity?

<p>$\left( rac{ ext{Mass of Pure Compound}}{ ext{Mass of Sample}} ight) imes 100$ (D)</p> Signup and view all the answers

In gaseous reactions, the stoichiometric coefficients in a balanced chemical equation directly relate to:

<p>The moles and volumes of the gases. (B)</p> Signup and view all the answers

Consider the reaction: $N_2(g) + 3H_2(g) ightarrow 2NH_3(g)$. If you start with 5 dm of $N_2$, what volume of $H_2$ is required for complete reaction?

<p>15 dm (B)</p> Signup and view all the answers

If 50 grams of reactant are expected to produce a theoretical yield of 60 grams of product, but only 45 grams are obtained, what is the percent yield?

<p>75% (D)</p> Signup and view all the answers

A sample of potassium chloride (KCl) is found to be 95% pure. If you have 20 grams of this sample, how many grams of pure KCl are present?

<p>19 grams (A)</p> Signup and view all the answers

What is the molar volume of an ideal gas at STP in units of m/mol?

<p>0.0224 m/mol (C)</p> Signup and view all the answers

In the reaction $2CO(g) + O_2(g) ightarrow 2CO_2(g)$, if 10 dm of CO reacts with sufficient $O_2$, what volume of $CO_2$ will be produced, assuming constant temperature and pressure?

<p>10 dm (B)</p> Signup and view all the answers

To determine the molecular formula from an empirical formula, what additional piece of information is essential?

<p>Molar mass of the compound (C)</p> Signup and view all the answers

Consider a reaction where reactant A is a limiting reagent and reactant B is in excess. Increasing the amount of reactant B will:

<p>Not change the amount of product formed. (D)</p> Signup and view all the answers

In a titration experiment, if the concentration of the titrant ($C_B$) is doubled and all other factors remain constant, what adjustment must be made to the volume of titrant ($V_B$) to maintain equivalence?

<p>Halve $V_B$ (A)</p> Signup and view all the answers

A chemist synthesizes a compound and obtains an actual yield of 20 grams. If the percent yield of the reaction is 80%, what is the theoretical yield of the reaction?

<p>25 grams (A)</p> Signup and view all the answers

A student is asked to calculate the volume of $CO_2$ produced from the combustion of 1 mole of methane ($CH_4$) at STP, according to the reaction $CH_4(g) + 2O_2(g) ightarrow CO_2(g) + 2H_2O(l)$. They incorrectly use the volume of 11.2 dm/mol for the molar volume at STP in their calculation. What would be the percentage error in their calculated volume of $CO_2$ compared to the correct volume?

<p>50% lower (A)</p> Signup and view all the answers

If the temperature of a gas is increased while maintaining constant pressure, what will happen to its volume, assuming the number of moles remains constant?

<p>The volume will increase. (A)</p> Signup and view all the answers

In the context of chemical reactions, what is the significance of the stoichiometric coefficients?

<p>They provide the ratio of moles of reactants and products. (A)</p> Signup and view all the answers

What is the relationship between empirical and molecular formulas?

<p>The molecular formula is a multiple of the empirical formula. (A)</p> Signup and view all the answers

If a reaction has a high percent yield, what does this indicate about the reaction?

<p>The reaction is efficient. (B)</p> Signup and view all the answers

What is the purpose of determining the limiting reagent in a chemical reaction?

<p>To maximize the amount of product formed. (B)</p> Signup and view all the answers

What is the primary use of titrations in chemistry?

<p>To determine the concentration of an unknown solution. (A)</p> Signup and view all the answers

In the ideal gas law equation, $PV = nRT$, what do the variables P and V represent respectively?

<p>Pressure and volume (C)</p> Signup and view all the answers

If two gases, A and B, are involved in a reaction and 'a' and 'b' are their respective stoichiometric coefficients, how is the volume of A ($V_A$) related to the volume of B ($V_B$)?

<p>$V_A = \frac{a}{b} V_B$ (C)</p> Signup and view all the answers

What is the correct representation for calculating the concentration ((C)) of a solution?

<p>$C = \frac{n}{V}$ (B)</p> Signup and view all the answers

In a titration process, if (C_A) is 0.2 M and (V_A) is 25 mL, and it reacts with (C_B) which is 0.1 M, what does (V_B) need to be if the stoichiometric coefficients 'a' and 'b' are both 1?

<p>50 mL (C)</p> Signup and view all the answers

A chemist is analyzing a newly synthesized compound and obtains the following elemental composition by mass: 60% Carbon, 5% Hydrogen, and 35% Oxygen. What would be the next immediate step to determine this compound's empirical formula?

<p>Convert the mass percentages to mass in grams assuming 100g sample. (A)</p> Signup and view all the answers

A student performs a reaction and calculates that the theoretical yield of their product should be 25.0 grams. After carefully collecting and purifying their product, they obtain 19.0 grams. Calculate the percent yield of the reaction.

<p>76.0% (D)</p> Signup and view all the answers

A batch of synthesized drug is sent for quality control. The examination reveals that a 5.0 gram sample contains 4.2 grams of the active pharmaceutical ingredient (API). What is the percent purity of the API in this sample?

<p>84.0% (C)</p> Signup and view all the answers

A laboratory technician is tasked with determining the percent purity of a synthesized batch of Aspirin ($C_9H_8O_4$) for quality assurance. They perform a series of analytical tests and discover that out of a 2.00 gram sample, only 1.65 grams is actually Aspirin, and the rest is contaminants. However, during their calculations, they mistakenly use the molar mass of Benzoic Acid ($C_7H_6O_2$) instead of Aspirin. What adjustments are made for this error?

<p>The lab technician needs to start over, recalculate the number of moles using the correct molar mass of Aspirin, and then determine the correct percent purity. (A)</p> Signup and view all the answers

When elemental analysis of an organic compound returns a complex, non-whole number ratio during empirical formula determination, what is the most appropriate next step?

<p>Multiply all the mole ratios by a common integer to convert them into whole numbers. (A)</p> Signup and view all the answers

What is the molar volume of a gas at STP, and how is it derived from the ideal gas law?

<p>22.4 L/mol, derived by setting P=1 atm, T=273 K in PV=nRT (B)</p> Signup and view all the answers

How does the concept of limiting reagents apply in the context of a multi-step chemical synthesis, where the product of one reaction is used as a reactant in the next?

<p>The overall yield of the synthesis depends on the limiting reagent in each step; yield of each step needs to be optimized, and it may not be optimal to use excess of all reagents. (D)</p> Signup and view all the answers

In the titration formula, $C_A V_A = \frac{C_B V_B}{a}$, what does the variable 'a' represent, and how does its value affect the calculation if it is greater than 1?

<p>'a' represents the stoichiometric coefficient of the base in the balanced equation; if 'a' is greater than 1, the product $C_B V_B$ will be divided by 'a', proportionally decreases the required volume of B. (A)</p> Signup and view all the answers

During an experiment to determine the empirical formula of a metal oxide, a student heats a metal sample in the presence of excess oxygen. The student records the mass of the metal before heating and the mass of the metal oxide after the reaction is complete. However, the crucible used in the experiment was not completely dry, leading to some water reacting with the metal oxide to form a hydroxide. How specifically does the presence of water affect the calculation of the empirical formula?

<p>The water will cause an increase in the apparent mass of oxygen in the compound, as some oxygen atoms from the water molecule will be incorporated into the oxide lattice, leading to an overestimation of the oxygen content and distorting the empirical formula toward a higher oxygen ratio. (D)</p> Signup and view all the answers

In a gaseous reaction at constant temperature and volume, an increase in the number of moles of gaseous reactants leads to:

<p>An increase in pressure. (C)</p> Signup and view all the answers

In stoichiometric calculations, what role do the coefficients in a balanced chemical equation play?

<p>They provide the ratio of moles of reactants and products. (D)</p> Signup and view all the answers

Flashcards

STP

Standard temperature and pressure, defined as 273 K and 101.3 kPa.

Molar Volume at STP

The volume occupied by one mole of a gas at STP, equal to 22.4 dm³.

Concentration of a Solution

The number of moles of solute per liter of solution (mol/dm³).

Titration

Technique to determine the concentration of an unknown solution using a standard solution.

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Limiting Reagent

Reactant completely consumed first, limiting product formation.

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Excess Reagent

Reactant not completely used up in a chemical reaction.

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Percent Yield

Compares actual yield to theoretical yield, indicating reaction efficiency.

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Empirical Formula

Simplest whole-number ratio of atoms in a compound.

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Molecular Formula

Actual number of atoms of each element in a molecule of a compound.

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Percent Purity

The amount of a specific pure compound in an impure sample.

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Ideal Gas Law

Relates pressure, volume, temperature, and moles of a gas.

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Molar Volume at STP

Volume of one mole of gas at STP (0°C and 1 atm), equals 22.4 dm³.

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Volume Relationship Formula

Relates volumes of gases in a reaction using stoichiometric coefficients.

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Titration Equation

Calculating the unknown concentration of a solution using a known solution.

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Identifying Limiting Reagent

Determines maximum product amount by identifying the reactant that runs out first.

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Identifying Excess Reagent

Reactant present in a greater quantity than necessary for complete reaction.

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Calculating Percent Purity

Indicates the proportion of a pure compound within a sample.

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Mass Conversion

Use percentages of each element to determine grams in a 100g sample.

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Avogadro's Law

Gas volume is directly proportional to mole number at constant temperature and pressure.

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Mole Calculation

Convert grams to moles using molar mass.

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Simplest Ratio

Shows the simplest whole number ratio of elements in the compound.

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Molecular Formula Determination

Find the ratio between molecular and empirical mass to adjust formula.

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Gas Volume Relationship

Volume of gas A can be determined if volume of gas B is known

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What is a limiting reagent?

Reactant that limits the amount of product formed

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What is an Excess Reagent?

Reactant present in excess; some remains after reaction

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What is percent yield?

Indicates reaction effectiveness; compares actual to theoretical yield

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What is the empirical formula?

Expresses simplest whole number ratio of atoms

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What is the molecular formula?

Actual number of atoms of each type in a molecule

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Percent Purity Formula

("Mass of Pure Compound / Mass of Sample") * 100

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Volume and Moles

Volume of a gas is directly proportional to the number of moles when other factors are constant.

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Molar volume conversion

Used in gaseous reactions to find volume from moles at STP

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Moles conversion

Convert mass to moles to use ratios from balanced equations

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What does simplest ratio show?

Shows the simplest whole number ratio of elements in the compound.

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Molecular Adjustment

Find multiple between empirical and it's molar mass to adjust subscripts

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Study Notes

Gases and Solutions

  • At standard temperature and pressure (STP), defined as 273 K and 101.3 kPa, one mole of any gas occupies 22.4 dm³.
  • The ideal gas equation ( pV = nRT ) is used to calculate the volume occupied by a gas, where ( p ) is pressure, ( V ) is volume, ( n ) is the number of moles, ( R ) is the ideal gas constant (8.31 J·K⁻¹·mol⁻¹), and ( T ) is the temperature in Kelvin.
  • Given ( n_g ) moles of a gas, the volume ( V_g ) at STP measures ( V_g = 22.4 , n_g ).
  • For reactions involving gases, the volumes of the gases are related by their stoichiometric coefficients in the balanced chemical equation through the formula ( V_A = \frac{a}{b} V_B ).
  • ( V_A ) is the volume of gas A and ( V_B ) is the volume of gas B, while ( a ) and ( b ) are their respective stoichiometric coefficients.
  • The concentration ( C ) of a solution measures ( C = \frac{n}{V} ), where ( n ) is the number of moles of solute and ( V ) is the volume of the solution in liters (dm³).
  • Titration is used to determine the concentration of an unknown solution by reacting it with a solution of known concentration.
  • The relationship between reactants in a titration is ( C_A V_A = \frac{C_B V_B}{a} ), where ( C_A ) and ( C_B ) are the concentrations of solutions A and B, and ( V_A ) and ( V_B ) are their respective volumes.
  • ( a ) and ( b ) are the stoichiometric coefficients from the balanced equation.

Stoichiometric Calculations

  • Stoichiometric calculations determine the amounts of reactants and products using the ratios of substances in a balanced chemical equation.
  • The limiting reagent is the reactant that is completely consumed first, determining the maximum amount of product formed.
  • The excess reagent is the reactant that is not completely used up in the reaction.
  • Percent yield is calculated by ( \text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100 ), indicating the efficiency of a chemical reaction.
  • The empirical formula represents the simplest whole-number ratio of atoms in a compound
  • The molecular formula indicates the actual number of atoms of each element in a molecule.
  • To determine empirical and molecular formulae, first assume 100 grams of the compound to convert the given percentage composition directly as grams.
  • Next convert the mass of each element to moles using the molar mass.
  • Then Divide the moles of each element by the smallest number of moles obtained to find the ratio to formulate the empirical formula
  • Determine the molecular formula by calculating the molar mass of the empirical formula and divide the given molar mass of the compound by this value to find the multiplier
  • Multiply the subscripts in the empirical formula by this multiplier to get the molecular formula.
  • Percent purity measures ( \text{Percent Purity} = \left( \frac{\text{Mass of Pure Compound}}{\text{Mass of Sample}} \right) \times 100 ), essential for determining the quality of chemical substances.
  • In titrations, the relationship ( C_A V_A = \frac{C_B V_B}{a} ) is used, where ( C_A ) and ( C_B ) are concentrations, ( V_A ) and ( V_B ) are volumes, and ( a ) and ( b ) are stoichiometric coefficients from the balanced equation.
  • Identifying the limiting reagent is important as it determines the maximum amount of product that can form.
  • Compare the mole ratios of reactants used with the ratios from the balanced chemical equation to determine the limiting reagent.
  • A high percent yield indicates a more efficient and cost-effective reaction, which reduces waste and lowers the consumption of expensive reagents.

Volume Relationships in Gaseous Reactions

  • The ideal gas law ( PV = nRT ) relates pressure (P), volume (V), temperature (T), and the number of moles (n) of a gas, where R is the ideal gas constant.
  • At Standard Temperature and Pressure (STP: 0°C and 1 atm), one mole of an ideal gas occupies 22.4 dm³.
  • Stoichiometry relates the coefficients in a balanced chemical equation to the ratio of moles of reactants and products.
  • At STP, the molar volume of a gas is 22.4 dm³/mol, useful for converting between moles and volume for gases under these conditions.
  • To solve problems involving gaseous reactions:
    • Determine the molar mass of the gaseous reactant from its chemical formula.
    • Calculate the number of moles of the reactant using ( n = \frac{m}{M} ), where ( m ) is the mass of the reactant and ( M ) is its molar mass.
    • Use the stoichiometric coefficients to find the mole ratio between the reactant and the gaseous product.
    • Calculate the number of moles of the gaseous product formed using the mole ratio.
    • Convert the moles of the gas to volume at STP using ( V = n \times 22.4 , \text{dm}^3/\text{mol} ).

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