How Does Temperature Affect Tire Pressure?

AI Thread Summary
Temperature significantly affects tire pressure, as an increase in temperature leads to an increase in pressure. In this scenario, the initial tire pressure is 190 kPa at -10°C, and it rises to +10°C. Using the ideal gas law, the new pressure can be estimated using the formula P1/T1 = P2/T2, resulting in a calculated pressure of approximately 204 kPa. The assumptions made include constant volume, number of moles, and the gas constant. The analysis provided aligns with the principles of gas behavior under temperature changes.
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Homework Statement


Air in an automobile tire is initially at -10oC and 190kPa. After the automobile is driven while the temperature rises to +10oC. Estimate the new pressure in the tire. State all assumptions that you make in providing this estimate.


Homework Equations


Pv=nRt




The Attempt at a Solution



As the temperature increases the air pressure will increase in the tire

I assume that the v n and r in the equation are constant in this problem

therefore the P1/T1=P2/T2

which is 190*283/263 = 204kPa

I could be completely wrong here as there is no answer given to this question, can someone share some thoughts?
 
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Your analysis is correct.
 

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