The efficiency of an ideal heat engine is 33%. What is the heater temperature if the refrigerator temperature is 400 K?

Efficiency of an ideal heat engine:

η = (Tn – Tx) / Tn,

where Tn is the heater temperature, Tx is the refrigerator temperature.

Substitute the values:

0.33 = (Tn – 400 K) / Tn;

0.33 Tn = Tn – 400 K;

0.67 Tn = 400 K;

Tn = 400 K / 0.67 = 597 K.

Answer: Heater temperature 597 K (323.5 ° C).



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