Problem: 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 pressure (psi)  in the tire after warming on a hot day? Express your answer in pound-force per square inch to 3 significant figures. 

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For this problem we would have to use the ideal gas law to solve for the pressure: 



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Problem Details

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 pressure (psi)  in the tire after warming on a hot day? Express your answer in pound-force per square inch to 3 significant figures. 


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Our tutors have indicated that to solve this problem you will need to apply the Chemistry Gas Laws concept. If you need more Chemistry Gas Laws practice, you can also practice Chemistry Gas Laws practice problems.

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