Chapter 5.3, Problem 5.4AFP

Interpretation Introduction

Interpretation:

The pressure of plastic container containing $35.0\text{ g}$ of ethylene gas if $5.0\text{g}$ of ethylene is removed from the container at constant temperature 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 no. of moles of gas.

$T$ is the temperature in Kelvin.

$R$ is the universal gas constant.

For constant values of volume and temperature equation (1) can be written as follows:

$\frac{P}{n}=\text{constant}$ (2)

For two different values of pressure and no. of moles of gas, equation (2) can be modified  as follows:

$\frac{P_1}{n_1}=\frac{P_2}{n_2}$ (3)

Here,

$P_1$ is the initial pressure of the gas.

$P_2$ is the final pressure of the gas.

$n_1$ is the initial no. of moles of gas.

$n_2$ is final no. of moles of gas.

The formula to calculate no. of moles is as follows:

$n=\frac{\text{weight}\left(m\right)}{\text{molecular}\text{weight}\left(M\right)}$