# 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.

###### FREE Expert Solution
100% (292 ratings)
###### FREE Expert Solution

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

100% (292 ratings)
###### 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.

What scientific concept do you need to know in order to solve this problem?

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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Our tutors rated the difficulty ofAn automobile tire has a maximum rating of 38.0 psi (gauge p...as high difficulty.

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Our expert Chemistry tutor, Dasha took 9 minutes undefined to solve this problem. You can follow their steps in the video explanation above.

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Based on our data, we think this problem is relevant for Professor N/A's class at Ryerson University.