Chemistry Practice Problems Chemistry Gas Laws Practice Problems Solution: An automobile tire has a maximum rating of 38.0 ps...

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Solution: 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. 

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. 


Solution

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



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