Question

A sample of gas occupies $10L$ at ${127}^{o}C$ and 1 bar pressure . The gas is cooed to ${-73}^{o}C$ at the same pressure. What will be the volume of the gas?

Answer 1

Solution:-

According to Charle's law

$V\propto T$

$\frac{V_1}{V_2}=\frac{T_1}{T_2}$

Let the initial volume be V.

$\therefore$ Initial volume, $\left(V_1\right)=10L$

Final volume, $\left(V_2\right)=?$

Initial temperature, $\left(T_1\right)=127℃=(273+127)K=400K$

Final temperature, $\left(T_2\right)=-73℃=(227+(-73))K=200K$

$\frac{10}{V_2}=\frac{400}{200}$

$\Rightarrow V_2=\frac{10}{2}=5L$

Hence, at ${73}^{0}C$ the volume of the gas will be $5L$.