How will the pressure in the tire change when it is heated to 600C from friction when the car is moving

univerkov | December 29, 2020 | education

How will the pressure in the tire change when it is heated to 600C from friction when the car is moving, if the air pressure of the car tire is 3.04 * 10 ^ 5 Pa at 150C? The volume is considered constant.

Data: T2 (tire heating temperature from friction) = 600 ºС (873 K); P1 (initial tire pressure) = 3.04 * 10 ^ 5 Pa; Т1 (initial temperature) = 150 ºС (423 К); V (tire volume) = const (isochoric process).
The air pressure in the tire after heating is expressed from the equality: P1 / T1 = P2 / T2, whence P2 = P1 * T2 / T1.
Calculation: P2 = 3.04 * 105 * 873/423 = 6.274 * 10 ^ 5 Pa (ΔP = P2 – P1 = 3.243 * 10 ^ 5 Pa).
Answer: The air pressure in the tire will increase by 3.243 * 10 ^ 5 Pa and become equal to 6.274 * 10 ^ 5 Pa.

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