2. An automobile tire has a pressure of 210 kPa at 293 K. What will be the tire pressure after driving, if the tire temperature rises to 308 K?

Answer: 220.75 kPa

Explanation:

Given that,

Original pressure of tire (P1) = 210 kPa

Original temperature of tire (T1) = 293K

New pressure of tire (P2) = ?

New temperature of tire (T2) = 308K

Since pressure and temperature are given while volume is held constant, apply the formula for Pressure's law

P1/T1 = P2/T2

210 kPa/293K = P2/308K

To get the value of P2, cross multiply

210 kPa x 308K = 293K x P2

64680 kPa•K = 293K•P2

Divide both sides by 293K to get P2

64680 kPa•K/293K = 293K•P2/293K

220.75 kPa = P2

Thus, the new tire pressure after driving will be 220.75 kPa