In a heat-powered refrigerator, a turbine is used to drive the compressor using

Question

In a heat-powered refrigerator, a turbine is used to drive the compressor using the same working fluid. Consider the combination shown in the figure, where the turbine produces just enough power to drive the compressor and the two exit flows are mixed together. For the given values find (a) the ratio of the mass flow rates m3 mi and the exit temperature (T5) if the turbine and the compressor are reversible and adiabatic, and (b) repeat the calculations if the compressor and turbine have an isentropic efficiency of 90%. Draw the T-s diagram of the process.

Explanation / Answer

Solution: CV: compressor s2S = s1 = 1.0779 kJ/kg K ? h2S

= 317.43 kJ/kg

wSC = h1 - h2S

= 271.89 - 317.43 = -45.54 kJ/kg

CV: turbine s4S = s3 = 1.0850 kJ/kgK and P4S

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