Does efficiency always depend on reversibility of the engine?

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So you can't neglect the isochoric leg on the left in Chandra's drawing after all.
 
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Hi again.
I got a paper via another discussion forum (Research Gate). I don't seem to be able to upload it, though. It's the following paper:
A Simple Approach to Heat Engine Efficiency
Carl Salter (2000)
Journal of Chemical Education 77(8), pp. 1027 -1030

Highly recommended reading. Might help to resolve the controversy in the literature on how to calculate efficiencies.