Chapter 9, Problem 9.26CP

Interpretation Introduction

Interpretation:

The mixture of helium (red) and argon (blue) when the temperature is lowered to $\text{150}\text{K}$ has to be depicted.

Concept Introduction:

Ideal gas equation is an equation that is describing the state of an imaginary ideal gas.

$\text{PV}\text{=}\text{n RT}$

Where,

P is the pressure of the gas

V is the volume

n is the number of moles of gas

R is the universal gas constant $\text{(R=0}{\text{.0821LatmK}}^{\text{-1}}{\text{mol}}^{\text{-1}})$

T is the temperature

Charles law,

Volume of the container is directly proportional to Temperature of the container

$\text{VαT}$

Where,

V=Volume

T=Temperature

Answer to Problem 9.26CP

The volume of the container will decreases when the temperature decreases.

Explanation of Solution

Given,

$\text{1:1}$ Mixture of helium (red) and argon (blue)

According to Charles law,

Volume of the container is directly proportional to Temperature of the container

$\text{VαT}$

Where,

V=Volume

T=Temperature

So the volume of the container will reduce to half.

When T=$\text{300K}$

Figure 1

When T=$\text{150}\text{K}$ the volume of the container can be shown as follows.

Figure 2

Conclusion

The mixture of helium (red) and argon (blue) when the temperature is lowered to $\text{150}\text{K}$ was depicted.