Chapter 18, Problem 12STP

Interpretation Introduction

Interpretation:

The pressure of xenon at the end is given. The volume of the gas is to be calculated.

Concept introduction:

Ideal gas equation helps to calculate volume of a gas at given temperature and pressure. According to this law,

$\mathrm{PV}=nRT$

Where

$\mathrm{P}$ is pressure of the gas

$\mathrm{V}$ is volume of the gas

$\mathrm{n}$ is the number of moles of the gas

$\mathrm{R}$ is the ideal gas constant

$\mathrm{T}$ is the temperature of the gas

Answer to Problem 12STP

The volume of the gas is $13L$

Explanation of Solution

Ideal gas equation helps to calculate volume of a gas at given temperature and pressure. According to this law,

$\mathrm{PV}=nRT$

Or

$\mathrm{V}=\frac{nRT}{P}$

Given data is:

$\text{n=}0.050mol$

$\mathrm{P}=0.092atm$

$\text{R=}0.0821Latm{K}^{-1}mo{l}^{-1}$

$\begin{array}{c}\mathrm{T}=20°C\\ =20+273\\ =293K\end{array}$

Now substituting the values into formula,

$\begin{array}{c}V=\frac{nRT}{P}\\ =\frac{0.50\times 0.0821\times 293}{0.092}\\ =13L\end{array}$

Therefore volume of the gas is $13L$

Conclusion

The volume of the gas is $13L$.