Chapter 11, Problem 5SAQ

Interpretation Introduction

Interpretation: A sample of a gas possesses an initial volume of $55.2mL$, initial temperature of $35.0°C$ and an initial pressure of $735mmHg$. When the volume of this gas sample is decreased to $48.8mL$ and the temperature is increased to $72.5\text{}°C$, the final pressure of the gas sample is to be calculated.

Concept Introduction:

Combined gas law expresses both Boyle’s and Charles’s law when amount of gas is kept constant.

Combined gas law is used for a gas sample under two sets of conditions.

Combined gas law is formulated when two variables change at the same time. This is shown as

$V\propto \frac{T}{P}$

or

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

The equation can be written as

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

Here, $V_1$ is the initial volume, $P_1$ is the initial pressure, and $T_1$ is the initial temperature of the gas. $V_2$ is the final volume, $P_2$ is the final pressure, and $T_2$ is the final temperature of the gas.