The gas inside of a container exerts #"24 Pa"# of pressure and is at a temperature of #"75 K"#. If the temperature of the gas changes to #"125 K"# with no change in the container's volume, what is the new pressure of the gas?
the pressure law states that 'the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.'
direct proportion is a form of direct variation, meaning that
in direct proportion, they are linked by a constant. since
in shorter notation,
to find the constant here, use the two values of pressure and Kelvin temperature given:
if P = kT, then k = P / T.
using the same constant, we know that for this fixed volume (since the temperature changes with no change in volume),
the new pressure