A reversible engine converts $$one-sixth$$ of the heat input into work. When the temperature of the sink is reduced by $$640C$$, the efficiency of the engine is doubled. The temperature of the source and sink are

Question

A reversible engine converts $$one-sixth$$ of the heat input into work.  When the temperature of the sink is reduced by $$640C$$,      the efficiency of the engine is  doubled. The temperature of the source and sink are

Infinity Learn · Accepted Answer

Give $$16Q=w$$                               $$16=WQ$$                      η$$=WQ=1$$−$$T2T1$$                             $$16=1$$−$$T2T1$$                             $$T2T1=56$$−(1)                     η$$=1$$−$$T2T1$$     $$---$$ (2)                $$2$$η$$=1$$−(T2$$−$$64)T1$$     $$---$$ $$(3)                From (2) &(3)  after ratio we get                 ∴$$T2+64=T1$$                     From (1)                $$T1=1110C$$                     $$T2=470C$$

A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by $64^{0} C,$ the efficiency of the engine is doubled. The temperature of the source and sink are

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A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by 640C, the efficiency of the engine is doubled. The temperature of the source and sink are

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A reversible engine converts one-sixth of the heat input into work. When the temperature of the sink is reduced by $64^{0} C,$ the efficiency of the engine is doubled. The temperature of the source and sink are