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Q2. In a reversible heat engine cycle, air at a temperature of 45℃ is compressed according to the law PV^1.28 = constant.

At The end of compression, 1200  kJ⁄kg  of heat is added at constant pressure, after which, The air expands to The original volume according to The law PV^1.33 = constant.

At The end of expansion, the air is cooled at constant volume to the original temperature. The cycle volume compression ratio is 16 :1

(a) Sketch The cycle on Pressure-Volume and Temperature-specific entropy diagrams. (3)

(b) Calculate EACH of the following:

(i) The temperature at the cardinal points; (4)

(ii) The specific network transfer; (5)

(iii) The specific heat transfer at constant volume; (2)

(iv) The cycle Thermal efficiency. (2)

Note: for air c_v = 0.717  kJ⁄(kg K)  , R = 0.287  kJ⁄(kg K)