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?
The new gas volume would have decreased to 20 L.
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:
A reduction in temperature has resulted in a reduction in volume.