An ideal gas heat engine operates in a Carnot's cycle between 227^ C and 127^ C . It absorbs 6 10⁴ J at high temperature. The amount of heat converted into work is

Step-by-step solution

Given, amount of heat absorbed, Q=6 10⁴ ~J Temperature of reservoir, T₁=227^ C =227+273 ~K =500 ~K Temperature of sink , T₂=127^ C aligned &=127+273 ~K &=400 ~K aligned Efficiency of Carnot engine, =1- T₂ T₁ =1- 400 500 = 1 5 Work done by Carnot engine (W) aligned &= Efficiency ( ) heat absorbed (Q) W & [ = W Q ] W &= 1 5 6 10⁴ ~J =1.2 10⁴ ~J aligned