The gas inside of a container exerts #12 Pa# of pressure and is at a temperature of #120 ^o C#. If the temperature of the gas changes to #540 ^oK# with no change in the container's volume, what is the new pressure of the gas?
The new pressure is
We use the ideal gas law to calculate the change in pressure. The law is written:
In our problem, only the temperature and pressure change - everything else is a constant. So let's gather all of the constant terms on one side of the equation as follows:
We can use this to calculate the unknown pressure:
Rearranging to find
Where we have added 273 to the temperature in Celsius to convert to Kelvin.