It is recommended that you inflate the tires on your car when they are at ambient temperature. Suppose you inflate the tires to 39 psi gauge with air at T = 22 °C. The tire heats up to 39 °C when you drive. Additionally, because the tire is spinning, it expands due to centripetal effects and the volume of the tire increases by 2%. What is the gauge pressure in the tire now?

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Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.