# A container with a volume of 14 L contains a gas with a temperature of 140^o K. If the temperature of the gas changes to 75 ^o K without any change in pressure, what must the container's new volume be?

Dec 15, 2016

The new volume is $= 7.5 L$

#### Explanation:

We use Charles' Law

${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$

${V}_{1} = 14 L$

${T}_{1} = 140 K$

${T}_{2} = 75 K$

${V}_{2} = {V}_{1} / {T}_{1} \cdot {T}_{2}$

$= \frac{14}{140} \cdot 75 = 7.5 L$