Chapter 5, Problem 5.32P

Interpretation Introduction

Interpretation:

The volume of a sample of $\text{Freon-12}$ at STP is to be calculated.

Concept introduction:

Ideal gas law equation is as follows:

$PV=nRT$ (1)

Here,

$P$ is the pressure of the gas.

$V$ is the volume occupied by gas.

$n$ is the number of moles of gas.

$T$ is the temperature in Kelvin.

$R$ is the universal gas constant.

For two different values of pressure, temperature, volume and number of moles equation (1) can be modified as follows:

$\frac{P_1{V}_1}{n_1{T}_1}=\frac{P_2{V}_2}{n_2{T}_2}$ (2)

Here,

$P_1$ is the initial pressure of the gas.

$P_2$ is the final pressure of the gas.

$V_1$ is the initial volume of gas.

$V_2$ is the final volume of gas.

$n_1$ is the initial number of moles of gas.

$n_2$ is the final number of moles of gas.

For fixed no. of moles equation (2) can be written as follows:

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$ (3)

At STP condition the temperature at $\text{0}\text{°C}\left(\text{273}\text{K}\right)$ and pressure is $\text{1}\text{atm}\left(\text{101}\text{.325}\text{kPa}\right)$.