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The ideal efficiency of an engine operating between two thermal reservoirs is determined by the Carnot efficiency formula: ( \eta = 1 - \frac{T_{cold}}{T_{hot}} ). If both the hot reservoir and the exhaust are at 400 K, then the temperature of the cold reservoir is also 400 K. This results in ( \eta = 1 - \frac{400}{400} = 0 ). Therefore, the ideal efficiency of the engine in this scenario is 0%, meaning no work can be extracted.

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What is the ideal efficiency of an automobile engine where fuel is heated to 2900 K and the outdoor air is at 285 K?

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