# A container with a volume of #25 L# contains a gas with a temperature of #150^o K#. If the temperature of the gas changes to #120 ^o K# without any change in pressure, what must the container's new volume be?

##### 1 Answer

Dec 18, 2016

The new gas volume would have decreased to 20 L.

#### Explanation:

Apply Charles's law which states that the volume of an ideal gas is directly proportional to its absolute (Kelvin) temperature.

In equation form: V = k T

Your question requires that we write this in the form of a proportion

(Note that these ratios are equal, because both would equal the constant, k.)

Now, we are ready:

Solving for

A reduction in temperature has resulted in a reduction in volume.