A reversible engine contains 0.2 mol of monotonic ideal gas withγ= 1.3.The gas goes through the following cycle (where, recall, 1 L = 10−3m3):(A)pA= 5.0 atm,VA= 2 L(B)pB= 2.0 atm,VB= 5 L(C)pC= 1.0 atm,VC= 5 L(D)pD= 1.0 atm,VD= 2 Land back to (A). That is, the cycle is A→B→C→D→A.   (a)  Show that the A→B path is isothermal.   (b)  What is the work done and the heat exchanged in each process (i.e.,WijandQijforij= AB, BC, CD, and DA). What is the net work done in thecycle?

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A reversible engine contains 0.2 mol of monotonic ideal gas withγ= 1.3.The gas goes through the following cycle (where, recall, 1 L = 10−3m3):(A)pA= 5.0 atm,VA= 2 L(B)pB= 2.0 atm,VB= 5 L(C)pC= 1.0 atm,VC= 5 L(D)pD= 1.0 atm,VD= 2 Land back to (A). That is, the cycle is A→B→C→D→A.

 

(a)  Show that the A→B path is isothermal.

 

(b)  What is the work done and the heat exchanged in each process (i.e.,WijandQijforij= AB, BC, CD, and DA). What is the net work done in thecycle?

(c) Did the entropy of the state increase or decrease in going from (A) to(B) and, if so, by how much?

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