1. Helium gas is heated at constant volume from a state of 100 kPa, 300 K to 500 K. A following process expands the gas at constant pressure to four times the initial volume. 
a. Show the combined process on a P-V diagram
b. What is the work per unit mole in the combined process?

2. A work of 2.5 kJ must be delivered on a rod from a pneumatic piston/cylinder where the air pressure is limited to 500 kPa. What diameter cylinder should I have to restrict the rod motion to maximum 0.5 m?

3. A piston cylinder contains air at 600 kPa, 290 K and a volume of 0.01 m3. A constant pressure process gives 18 kJ of work out. Find the final volume and temperature of the air.

4. A piston cylinder contains 3 kg of air at 20oC and 300 kPa. It is now heated up in a constant pressure process to 600 K.
a. Find the final volume
b. Plot the process path in a P-v diagram and T-v diagram (v is the specific volume = V/m)
c. Find the work in the process.