Problem 184HP

Air in a rigid tank is at 100 kPa, 300 K with a volume of 0.75m3. The tank is heated to 400 K, state 2. Now one side of the tank acts as a piston, letting the air expand slowly at constant temperature to state 3 with a volume of 1.5 m3. Find the pressure at states 2 and 3. Find the total work and total heat transfer.

Solution 184HP

Step 1 of 6:

Our aim here is to find the pressure at the second and third states, total work and total heat transfer of the air filled tank.

The initial pressure P1 = 100 kPa

The initial temperature T1 = 300 K

The initial volume V1 = 0.75 m3

The gas constant R = 0.287 kJ/kg.K (Table A.5)

The specific heat Cv0 = 0.717 kJ/kg.K (Table A.5)