2. A two-stage air compressor has an intercooler between the two stages as shown below. The inlet state is 100 kPa, 290 K, and the final exit pressure is 1.6 MPa. Assume that the constant pressure intercooler cools the air to the inlet temperature, T3= T1. It can be shown that the optimal pressure, P, (P.Pa) for minimum total compressor work. Find the specific compressor works, the intercooler heat transfer for the optimal P, and sketch and label the P-v and T-s diagrams.

A room is divided by a barrier into two sections. One side of the room (state 1) has a volume of 1000 ft^3 and is initially at 70F, 50 psi and the other side of the barrier (state 2) has 200 lbm of air and is initially at 300F, 14.696 psi. The divider is removed and the air mixes until it reaches equilibrium (state 3). Find the final temperature and pressure of the room. You can assume removing the divider has a negligible effect on the air.

Problem 4. Consider an adiabatic steam turbine operating at steady-state with a mass flow rate of 12 kg/s. At the inlet, the steam pressure is 10 MPa, the temperature is 450 °C, and the velocity is 80 m/s. At the exit, the pressure is 10 kPa, a quality of 0.92, and a velocity of 50 m/s. Find the change in kinetic energy Wout = ? Steam turbine (kJ/kg), the work out (power generated in MW), and the turbine inlet area (m²).

3. An adiabatic compressor takes argon from 100 kPa, 300 K to 2000 kPa. The compressor efficiency is 80%. (a) Find the outlet temperature (K) and the work (kJ/kg) (b) Find the entropy generation (kJ/kg-K)