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For the same compression ratio and same heat rejection __________.

  • A.\(\eta_{otto} \gt \eta_{dual} \gt \eta_{diesel}\)
  • B.\(\eta_{dual} \gt \eta_{diesel} \gt \eta_{otto}\)
  • C.\(\eta_{diesel} \gt \eta_{otto} \gt \eta_{dual}\)
  • D.\(\eta_{otto} \gt \eta_{diesel} \gt \eta_{dual}\)

Answer: A

The order is \(\eta_{otto} \gt \eta_{dual} \gt \eta_{diesel}\).

At the same compression ratio and the same heat rejection, the Otto cycle adds all its heat at constant volume, at the highest average temperature, while the Diesel cycle adds heat at constant pressure during expansion, at a lower average temperature. The dual cycle adds part of its heat each way, so its efficiency lies between them.

The higher the mean temperature of heat addition for the same heat rejected, the higher the efficiency, which gives Otto, then dual, then Diesel. Any order putting the Diesel or dual cycle first reverses this.

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