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 42 C.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 = 30×42/13 = 96.92 psi
