A two-stage compressor having an inter stage cooler takes in air, 300 K, 100 kPa, and compresses it to 2 MPa. The cooler then cools the air to 340 K, after which it enters the second stage, which has an exit pressure of 15.74 MPa. The isentropic efficiency of stage one is 90% and the air exits the second stage at 630 K. Both stages are adiabatic, and the cooler dumps Q to reservoir at T0. Find Q in the cooler, the efficiency of the second stage, and the total entropy generated in this process.