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?

1 Answer
Shwetank Mauria
Apr 9, 2017

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

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