Discussion
Which is the most efficient cycle for same compression ratio?
Answer: D
The Otto cycle is the most efficient of the cycles for the same compression ratio. Its efficiency is \[ \eta = 1 - \frac{1}{r^{\gamma - 1}} \] and for the same compression ratio the Otto cycle rejects the least heat, since all the heat is added at constant volume. The Diesel cycle has the lowest efficiency for the same compression ratio, and the Dual and Trinkler cycles come between them.
The Diesel cycle adds heat at constant pressure during expansion, so at the same compression ratio it is less efficient than the Otto cycle.
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