P21 028

28. During the adiabatic processes (the vertical lines in Fig. 21-9) there is no heat transfer, so we only
consider the isothermal processes (the horizontal lines). We can interpret Eq. 21-2, Q = T "S, as
represent the  area (with appropriate ą sign) under the horizontal lines. Since a b is in the positive
direction while c d is in the negative direction, then there is a partial cancellation in the  areas
under the two lines, and the net contribution is the rectangular area between them. This can be seen
explicitly as follows:
Qnet = TH (Sb - Sa) +TL (Sd - Sc) =(TH - TL)(Smax - Smin)
where we have used the fact that Sb = Sc = Smax and Sa = Sd = Smin .

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