# what is the ideal efficienct of heat engine wuth a hot reservior of 500 K and a heat sink of 300 K ?show your calculations.

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The ideal efficiency of any engine is that which matches the Carnot cycle.

Using Carnot's equation of ideal efficiency,

`eta=` `1 - T_l/T_h` where, `T_l ` is the absolute temperature of the cold reservoir and `T_h` is the absolute temperature of the hot reservoir.

Here, `T_l=300 K` ; `T_h=500 K`

Hence, `eta = 1 - 300/500`

`=0.4 or 40%.`

Therefore, the ideal efficiency of the heat engine is **40%**.

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