Question

On a cold winter morning when the temperature is -13°C, the air pressure in an automobile tire is 1.5 atm. If the volume does not change, what is the pressure after the tire has warmed to 15°C?

Answer 1

Pressure will be `1.662` atm

Explanation:

When volume does not change

`P_i/T_i=P_f/T_f`, where temperature is in kelvins

As initial temperature is `-13^@C=(273-13)^@K` and initial pressure is `1.5atm`, at `15^@C=(273+15)^@K`, pressure will be given by

`1.5/260=P_f/288`

and `P_f=(288xx1.5)/260=1.662` atm