The engine of a Ferrari F355 F1 sports car takes in air at 20.0o C and 1.00 atm and compresses it adiabatically to 0.0900 times the original volume. The air may be treated as an ideal gas with ? = 1.40. (a) Draw a pV-diagram for this process. (b) Find the final temperature and pressure.

Solution to 32E Step 1 Initial Pressure P =1atm 1 Initial Volume=V 1 Initial temperature T =20 C=293.15k 1 Final Volume V =0.09V 2 1 =1.400 Step 2 In an Adiabatic process, P V 2 = ( 1) …………………………………..(1) P1 V2 T2 V1 1 T = ( V ) ………………………………....(2) 1 2 Step 2 PV diagram, (b)