A container with a volume of #6 L# contains a gas with a temperature of #280^o K#. If the temperature of the gas changes to #320 ^o K# without any change in pressure, what must the container's new volume be?
The new volume will be
We start with the ideal gas law:
and move all of the constant terms to one side. We know from the question that the temperature and the volume are changing - everything else is constant, in other words:
This means that we can set the two different sets of volumes and temperatures equal to each other using this equation, since we know they are constant:
We can now solve for the new volume we are trying to find and plug in the numbers from the question: