# 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?

##### 1 Answer

#### Explanation:

the pressure law states that 'the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.'

[source: http://chemistry.bd.psu.edu/jircitano/gases.html]

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),

here,

the new pressure