An ideal gas heat engine operates in Carnot cycle between 227^ C and 127^ C . It absorbs 6 10^4 cal of heat at higher temperature. Amount of heat converted to work is

Step-by-step solution

The heat converted to work is the amount of heat that remains after going through sink. From the relation Q₂ Q₁ = T₂ T₁ Given, aligned Q₁ & =6 10^4 cal , T₁ & =227+273=500 ~K T₂ & =127+273=400 ~K aligned Q₂ 6 10^4 = 400 500 Q₂= 4 5 6 10^4=4.8 10^4 cal Now, heat converted to work aligned & =Q₁-Q₂ & =6.0 10^4-4.8 10^4 & =1.2 10^4 cal aligned