Chapter 5, Problem 5.30P

Interpretation Introduction

Interpretation:

The volume of the balloon after $0.850\text{g}$ of helium has leaked out through a small hole 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 constant values of pressure and temperature equation (1) can be written as follows:

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

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

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$ (3)

Here,

$V_1$ 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.

The formula to calculate the number of moles is as follows:

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