A cylindrical piston/cylinder assembly undergoes isothermal [T1 = 550 K) expansi

Question

A cylindrical piston/cylinder assembly undergoes isothermal [T1 = 550 K) expansion from upsilon_1 = 0.65 m^3/kg to upsilon_2 = 1.42 m^3/kg. The gas is then compressed through an isobaric process. At last, the gas is further compressed to its initial state via an isentropic process. In the cycle, a heat source with temperature T_H = 700 K is used and heat is rejected to the environment with T_L = 298 K. The dead state corresponds to T_0 = 298 K and P_0 = 1 atm. Assume the ideal gas model with variable specific heats. For the above-mentioned conditions, answer the following: Find the net heat transfer for the cycle, in kJ/kg; Calculate the exergy change for every process in the cycle, in kJ/kg; Break down each exergy change into components, such exergy destruction, exergy transfer by work etc.; in other words, provide exergy accounting for each process. Draw the processes on P-upsilon and T-s diagrams.

Explanation / Answer

Theanswer of the following questions are as follows

a) The net heat transfer of the cycle is 430 kJ/kg.

b)The energy change for the every process of the cycle are 573 kJ/kg and 478 kJ/kg.

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