# thermal physics

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An automobile tire has a volume of 1.60 x 10-2 m3 and contains air at a gauge pressure (pressure above atmospheric pressure) of 167 kPa when the temperature is 0.00°C. What is the gauge pressure (in kPa) of the air in the tires when its temperature rises to 27.0°C and its volume increases to 1.69 x 10-2 m3? Assume atmospheric pressure is 1.01 x 105 Pa. hw to do this sum?

• thermal physics -

Use the ideal gas relation

P1V1T2=P2V2T1

where temps are in Kelvins
and pressure is in absolute. Absolute pressure=guage+atmospheric.

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