An automobile tire has a maximum rating of 38.0 psi (gauge pressure). The tire is inflated (while cold) to a volume of 11.8 L and a gauge pressure of 36.0 psi (Note: The gauge pressure is the difference between the total pressure and atmospheric pressure. In this case, assume that atmospheric pressure is 14.7 psi.) at a temperature of 12.0 ∘C. While driving on a hot day, the tire warms to 65.0 ∘C and its volume expands to 12.2 L. What is the total pressure (gauge pressure + atmospheric pressure) in the tire after warming on a hot day?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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An automobile tire has a maximum rating of 38.0 psi (gauge pressure).

The tire is inflated (while cold) to a volume of 11.8 L and a gauge pressure of 36.0 psi (Note: The gauge pressure is the difference between the total pressure and atmospheric pressure. In this case, assume that atmospheric pressure is 14.7 psi.) at a temperature of 12.0 ∘C. While driving on a hot day, the tire warms to 65.0 ∘C and its volume expands to 12.2 L.

What is the total pressure (gauge pressure + atmospheric pressure) in the tire after warming on a hot day?

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