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Q11. Nitrogen at a pressure of 80 bar and a temperature of 2000 K expands isentropically in a cylinder from a volume of 0.03 m³ to a volume of 0.36 m³. The pressure after expansion is 2.47 bar. The nitrogen is then cooled at constant volume until the temperature is 300 K.

(a) Sketch the processes on p-V and T-S diagrams.

(b) Calculate EACH of the following:

(i) The isentropic index

(ii) The work done during expansion

(iii) The heat transfer

(iv) The change in entropy.

Note: For nitrogen, R = 0.297 kJ/kgK.