A Carnot engine has an efficiency of $40%$ . When the temperature of its sink is lowered by $50 K$ (source unchanged), the efficiency becomes $50%$ . What is the temperature of the source?

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One mole of a monatomic ideal gas goes round the cycle $A \to B \to C \to D \to A$ on a $P$ – $V$ diagram: $A (P_{0}, V_{0}) \to B (2 P_{0}, V_{0})$ at constant…