An ideal gas heat engine operates in carnot’s cycle between $$227oc$$ and $$127oc$$. If absorbs $$6$$×$$104$$ cals of heat at higher temperature amount of heat converted to work is

Question

An ideal gas heat engine operates in carnot’s cycle between $$227oc$$  and  $$127oc$$.      If absorbs $$6$$×$$104$$ cals  of heat at higher temperature amount of heat converted to work is

Infinity Learn · Accepted Answer

Temperature $$T1=227+273=500$$ K (converting$$ degree celsius into $$kelvin)  :$$T2=127+273=400$$ K  effieciency of heat engine is  η$$=1-T2T1---(1)$$  substitute given temperatures in equation (1) ⇒η$$=1-400500$$ ⇒ η$$=15---(2)$$  also efficiency is  η$$=Work$$ done (w)heat$$ given to $$engine(Q)---(3)substitute$$ given $$Q=6$$×$$104calorie$$, and equation $$(2) in (3) ⇒$$15=W6$$×$$104$$  $$W=6$$×$$1045$$  $$W=1.2$$×$$104$$ calamount of heat converted to work $$=1.2$$×$$104$$ cal

An ideal gas heat engine operates in carnot’s cycle between $227^{o} c$ and $127^{o} c$ . If absorbs ${6×10}^{4} cals$ of heat at higher temperature amount of heat converted to work is

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An ideal gas heat engine operates in carnot’s cycle between 227oc and 127oc. If absorbs 6×104 cals of heat at higher temperature amount of heat converted to work is

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An ideal gas heat engine operates in carnot’s cycle between $227^{o} c$ and $127^{o} c$ . If absorbs ${6×10}^{4} cals$ of heat at higher temperature amount of heat converted to work is