An ideal heat engine is exhausting heat energy to a reservoir at $$270$$ C. If the initial efficiency of $$50$$% is decreased to $$40$$% by changing the temperature of sink, the new temperature of sink is

Question

An ideal heat engine is exhausting heat energy to a reservoir at $$270$$ C. If the initial efficiency of $$50$$% is decreased to $$40$$% by changing the temperature of sink, the new temperature of sink is

Infinity Learn · Accepted Answer

efficiency of heat $$engine=$$η$$=1-T2T1---(1)T1$$,$$T2$$ are temperatures of source and sinkgiven $$T2=27+273=300K$$;$$efficiency=50$$%$$=50100$$η$$=1$$−$$T2T1$$⇒$$50100=1$$−$$300T1$$⇒$$12=300T1$$⇒$$T1=600K---(2)new$$ temperature of $$sink=T21$$;  new $$efficiency=40$$%$$=40100$$;and $$eqn(2)$$  substitute in following equation,η$$1=1$$−$$T12T140100=1$$−$$T21600$$⇒$$T21600=1$$−$$25=35$$ ⇒$$T21600=1$$−$$25T21600=35T21=35X600=360K$$.

An ideal heat engine is exhausting heat energy to a reservoir at $27^{0} C$ . If the initial efficiency of 50% is decreased to 40% by changing the temperature of sink, the new temperature of sink is

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An ideal heat engine is exhausting heat energy to a reservoir at 270 C. If the initial efficiency of 50% is decreased to 40% by changing the temperature of sink, the new temperature of sink is

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An ideal heat engine is exhausting heat energy to a reservoir at $27^{0} C$ . If the initial efficiency of 50% is decreased to 40% by changing the temperature of sink, the new temperature of sink is