Physics
On a cool morning, when the temperature is 13 C, you measure the pressure in your car tires to be 30 psi. After driving 50 mi on the freeway, the temperature of your tires is 42C.
What pressure will your tire gauge now show?
T1 = 13 C
T2 = 42 C
P1 = 30 psi
P2 = ?
By perfect gas equation, as V is constant,
P1V = RT1
P2V = RT2
P2/P1 = T2/T1
P2 = P1xT2/T1
P2 = 30x42/13 = 96.92 psi...what seems to be a problem?
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Answers
This seems to be a problem as it is impossible for the pressure in the tires to increase from 30 psi to 96.92 psi under the given scenario. This suggests that there must be some other factor at work causing pressure to increase. Possible reasons include excess air leakage, a decrease in tire volume due to tire wear, or the introduction of additional pressure from a tire inflator.
