An ideal heat engine (Carnot engine) works between temperatures \(T_1\) and \(T_2\) has an efficiency \(\eta.\) The new efficiency if both the source and sink temperatures are doubled will be:
1. \(\frac{\eta}{2}\)
2. \(\eta\)
3. \(2\eta\)
4. \(3\eta\)
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A Carnot engine whose sink is at \(300~\text{K}\) has an efficiency of \(40\%.\) By how much should the temperature of the source be increased to increase its efficiency by \(50\%\) of its original efficiency?
1.
\(275~\text{K}\)
2.
\(325~\text{K}\)
3.
\(250~\text{K}\)
4.
\(380~\text{K}\)
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