Question: We have a process where one mole of an ideal gas with constant heat capacity Cp = 2.5R changes state from T1= 226.85C and P1=
We have a process where one mole of an ideal gas with constant heat capacity Cp = 2.5R changes state from T1= 226.85C and P1= 6 bar to T2=73.15C and P2= 1 bar. There are several paths that one could devise to accomplish this. In this problem, we analyze two possible paths. (a) What would be the most efficient way of achieving this process? Calculate the work W that can be produced from the most efficient way of achieving this. Assume that any heat interaction with the surroundings occurs at 26.85C. (b) A possible path is to first at constant pressure P1, change the temperature to T2 and then at constant temperature T2 change the pressure to P2. Calculate the change in entropy of the universe (Suniv) for each step and the total change for this path. (c) Another possible path is to first change the pressure to P2 at constant temperature T1 and then change the temperature to T2 at a constant pressure P2. Again calculate the change in entropy of the universe (Suniv) for each step and the total change for this path. (d) Discuss the findings of part (a), (b), (c) and also calculate the efficiency of the work produced for paths (b) and (c).
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