SAE5304 Assignment #2
DUE DATE: By the END of the lecture on April 4th, 2023
(1) Two kilograms of water execute a Carnot power cycle. During the isothermal expansion, the water is heated until it is a saturated vapor from an initial state where the
pressure is 40 bar and the quality is 15%. The vapor then expands adiabatically to a
pressure of 1.5 bar while doing 491.5 kJ/kg of work.
(a) Sketch the cycle on p − v coordinates.
(b) Evaluate the heat and work for each process, in kJ.
(c) Evaluate the thermal efficiency.
(2) Air at 22 kPa, 220 K, and 250 m/s enters a turbojet engine in flight at an altitude of
10000 m. The pressure ratio across the compressor is 12. The turbine inlet temperature
is 1400 K, and the pressure at the nozzle exit is 22 kPa. The diffuser and nozzle processes
are isentropic, the compressor and turbine have isentropic efficiencies of 85% and 88%,
respectively, and there is no pressure drop for flow through the combustor. On the basis
of an air-standard analysis, determine
(a) the pressures and temperatures at each principle state, in kPa and K, respectively.
(b) the velocity at the nozzle exit, in m/s.
Neglect kinetic energy except at the diffuser inlet and nozzle exit.