A car tyre of volume 0.057 m3 is inflated to 300 kPa at 300 K. After the car is driven for 10 hours, the pressure in the tyre increases to 330 kPa. Assume air is an ideal gas and Cv for air is 21 J/mole.K. The change in the internal energy of air in the tyre in J/mole is__________________?

Question

Accepted Answer

630. The change in internal energy (ΔU) is calculated using the formula ΔU = n * C_v * ΔT. Since V and T are related by PV/T=constant for a fixed amount of gas, this leads to ΔU = P_1V_1 - P_2V_2.