A carnot engine has the same efficiency (i) between 100 K and 500 K and (ii) between T K and 900 K. Calculate the temperature of the sink.

Explanation

To solve the problem, we will use the formula for the efficiency of a Carnot engine, which is given by:

\[ \eta = 1 - \frac{T_{\text{sink}}}{T_{\text{source}}} \]

where \( T_{\text{sink}} \) is the temperature of the sink and \( T_{\text{source}} \) is the temperature of the source.

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