If the volume?V?of an ideal gas is constant, the?pressure law?is given by:
P?∝?T
This means the pressure is?proportional?to the temperature
The relationship between the pressure and (Kelvin) temperature for a fixed mass of gas at constant volume can also be written as:
Where:
P1?= initial pressure (Pa)
P2?= final pressure (Pa)
T1?= initial temperature (K)
T2?= final temperature (K)
Pressure law graph representing temperature (in °C) directly proportional to the volume
Worked Example
The pressure inside a bicycle tyre is 5.10 × 105?Pa when the temperature is 279 K. After the bicycle has been ridden, the temperature of the air in the tyre is 299 K.Calculate the new pressure in the tyre, assuming the volume is unchanged.
Exam Tip
Remember when using gas law the temperature?T?must always be in?kelvin?(K)!