How Does Temperature Affect Tire Pressure?

[cd19]

Homework Statement

Air in an automobile tire is initially at -10^oC and 190kPa. After the automobile is driven while the temperature rises to +10^oC. 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?

 

[RTW69]

Your analysis is correct.