Consider the cycle proposed in Question 10.3 quantitatively. Assume that it is executed reversibly. Show that its efficiency ? relative to the efficiency ?C of a Carnot engine operating between the same temperature limits is given by

Where c?_p = C_p/Nk_B is the heat capacity per molecule at constant pressure and r = V₁/V₂ is the compression ratio. Plot the efficiency ratio versus r. Why is it always less than one?

Transcribed Image Text:

In r ĉp \r – 1 r - 1