Chapter 5, Problem 5.19P

Interpretation Introduction

Interpretation:

The volume of gas at $-14°\text{C}$ and 367 torr should be calculated.

Concept Introduction:

Combined gas Law is the combination of Boyle’s Law, Gay Lussac’s Law and Charles’s Law. It expresses the relationship between pressure, volume and temperature of a fixed amount of gas or number of moles of gas.

According to Combined gas Law, the ratio of product of pressure and volume to the temperature of a gas is equal to constant.

  $\frac{\text{PV}}{\text{T}}$ = constant

  $\text{Pα}\frac{\text{T}}{\text{V}}$

A relationship between initial and final $\frac{\text{PV}}{\text{T}}$ can be set as equal to each other.

Combined gas Law can be written as:

  $\frac{{\text{P}}_{\text{1}}{\text{V}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}{\text{V}}_{\text{2}}}{{\text{T}}_{\text{2}}}$ (Amount of a gas remain constant)

Where, P₁, V₁and T₁ are the initial pressure, volume and temperature.

P₂, V₂ and T₂are the final pressure, volume and temperature.