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Engineering · Mechanical Engineering
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The change in the specific entropy of air (assumed as perfect gas) can be determined from the following equations 1(a) Air is compressed polytropically (Pv-C) from an initial pressure and specific volume of 250 kPa and 0.75 m3/kg, respectively to a final pressure of 750 kPa. Assuming a polytropic index, n, of 1.25, Calculate:- (4 marks) (i) The initial and final temperature of the air (ii) The change in the specific entropy of air Explain why a negative answer is acceptable in this case (4 marks) (4 marks) Air at a rate of 0.06 m/s and a negligible velocity enters the supercharger of a large diesel engine at a pressure and temperature of 94 kPa and 295 K, respectively. At the supercharger exit, the velocity of the air and its pressure are 20 m/s and 235 kPa, respectively. The supercharger loses 1.75 kW of heat to the surrounding and has an isentropic efficiency of 92%. Sketch the isentropic and real air expansion processes on the temperature-entropy (T-s) diagram with respect to the pressure lines. (b) (4 marks) Determine: (i) The isentropic and the real temperature of the exhaust gas at the turbine exit. (i) The compression power consumed (ii) The diameter of the supercharger at the exit. (3 marks) (3 marks) (3 marks) Air may be assumed to behave as a perfect gas with constants (Cp,C,R and y) values identical to those given on page 1 of this paper. The following relationships may be useful in the solution T, P TV Where, subscripts i and f refers to the initial and final conditions, respectively

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