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Initially, the efficiency of the engine was 1/6, which increases to 1/3 when the sink temperature reduces by 62°C. Calculate the source temperature.

1. 372 K
2. 400 K
3. 500 K
4. 600 K

Correct answer: 600 K

Solution

The efficiency of a Carnot engine is given by η = 1 - (T_sink / T_source). Using the given efficiencies, we set up two equations: 1/6 = 1 - (T_sink / T_source) and 1/3 = 1 - ((T_sink - 62) / T_source). Solving these equations gives T_source = 600 K.

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