# 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 oC. While driving on a hot day, the tire warms to 65.0 oC 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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###### FREE Expert Solution

We have to calculate the total pressure of air inside a tire when it warmed on a hot day.

We will solve this problem through these steps:

Step 1: Calculate the total pressure of air inside the tire when cold.

Step 2: Make sure that the values given have consistent units.

Step 3: Use the ideal gas law to calculate the pressure of air in time after warming. ###### 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 oC. While driving on a hot day, the tire warms to 65.0 oC 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?