Chapter 5, Problem 106E

Interpretation Introduction

Interpretation: The ratio of final volume of the gas mixture to initial volume of gas mixture in the given reaction should be determined if the equal moles sulfur dioxide and oxygen gas are mixed to produce sulfur trioxide in 100% yield.

Concept introduction:

• Balanced equation of a reaction is written according to law of conservation of mass.

• Mole ratios between the reactants and products of a reaction are depends upon the coefficients of respective reactant in a balanced chemical equation.

• According toideal gas law: the volume of gas is directly proportional to the number of moles of gas at constant pressure and temperature.

$\frac{\text{V}}{\text{n}}\text{=}\frac{\text{RT}}{\text{P}}$ , V and n are proportional.

Mathematically, for two gas mixtures (1 and 2) at constant P and T,

$\frac{{\text{V}}_{\text{1}}}{{\text{n}}_{\text{1}}}\text{=}\frac{{\text{V}}_{\text{2}}}{{\text{n}}_{\text{2}}}\Rightarrow \frac{{\text{V}}_{\text{1}}}{{\text{V}}_{\text{2}}}\text{=}\frac{{\text{n}}_{\text{1}}}{{\text{n}}_{\text{2}}}$