2 thermo problems which I need answered in full

1. Air in a piston/cylinder expands reversibly and adiabatic. The initial temp is 507K and the pressure in 600Kpa. The final pressure is 120Kpa. Find a) mass of the air in kg b) final temp assuming constant specific heat. c) find work 2. Heat Pump problem. 30,000 kj/h to maintain a building at 20 degrees C with outside temp of 0 degrees C. Find a) find min power to operate heat pump in KW b) find maximum COP for heat pump c) if actual COP is 0.5, what is required to run heat pump?

Determining the exit temperature and power input of air through a compressor.

Air at 150Pa and 310K enters a compressor of inlet diameter 2cm. The Compressor raises the pressure to 3.5 times the inlet pressure and has an outlet diameter of 5cm. Determine the exit temperature and power input required, if the mass flow rate of air is 100kg/hr

Determining the boundary work and final temperature in a piston cylinder.

One tenth kilogram of Argon is contained in a piston-cylinder assembly. Initially at 4900 K and a volume of 40 liters, the gas undergoes an isobaric process during which the heat input is 30 kJ. Determine the boundary work and final temperature.

Calculating efficiency and power in a carnot engine.

A Carnot engine is used in a nuclear power plant. It receives 1500 MW by heat transfer with a source at 340C, and it rejects thermal waste to a nearby river at 27C. The river temperature rises by 3C. Determine the: (i) Efficiency of the power plant (ii) Power output of the power plant

Rankine Cycle

Consider a Rankine cycle with reheat. Compressed water enters the boiler at 21 bars and is heated to 500C. Due to frictional effects there is a pressure loss of 1 bar in the boiler. At the exit of the boiler 40% of the steam produced is extracted for an external chemical process. The exhaust pressure of the first turbine is 5.0 bars. The steam is then reheated to 440C. The condenser operates at one bar. Make-up is added at the condenser. Determine (a) thermal efficiency of the cycle (b) Second law effectiveness