Sep 19, 2017

# AIR IS EXPANDED TO PERFORM WORK IN A PISTON-CYLINDER ASSEMBLY. THE AIR IS INITIALLY AT P 1…

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Air is expanded to perform work in a piston-cylinder assembly. The air is initially at P1 = 35 bar and T1 = 2000 K, and the expansion ratio rv ( = v2/v1) is 7. The ambient temperature T0 = 298 K and pressure P0 = 1 bar. Note P0 = P0. Assume variable cp(T) (use Tables A.7 for properties).

a. Determine the useful work in kJ kg–1 that is delivered for an isentropic process.

b. If process is non adiabatic and P2 = 2.5 bar, what are the absolute closed system availabilities at the initial and final states? What is the dead state absolute availability ϕ0?

c. Determine the optimum and useful optimum work and heat loss from the air for optimum process in kJ kg–1. What is the optimum useful work in kJ kg–1 if the final state is dead state?

d. If a dynamometer measures the useful work to be 0.8 kJ for non-adiabatic process (case b) and the initial volume V1 = 0.000205 m3, determine (i) work delivered by gas in kJ, (ii) the heat loss in kJ, (iii) irreversibility (or lost work) in kJ, and (iv) entropy generated in kJ K–1 during the process.

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