An ideal gas heat engine operates in a Carnot's cycle between `227^(@)C and 127^(@)C`. It absorbs `6 xx 10^(4) J` at high temperature. The amount of heat converted into work is

Options

A. `4.8 xx 10^(4) J`
B. `3.5 xx 10^(4) J`
C. `1.6 xx 10^(4) J`
D. `1.2 xx 10^(4) J`

Answer

D

Explanation

`eta = 1 - (T_2)/(T_1) = 1 - 400/500 = 1/5 :' eta = W/Q`
`implies 1/5 = W/Q`
`implies W = Q/5 = 6/5 xx 10^(4) = 1.2 xx 10^(4)J`.