A Carnot's engine extract `1.5 xx 10^(3)` kilocalorie of heat from a reservoir at `627^(@)C` and exhaust it to a sink maintained at `27^(@)C`. How much work is performed by the engine ?

Explanation

Efficiency of Carnot engine `eta = 1-(T_(2))/(T_(1))`
`:.` Work performed by engine `= (1-(T_(2))/(T_(1)))Q`
`:. W = (1-(300)/(900)) xx (1.5 xx 10^(3) xx 10^(3))cal`
or `W = (2)/(3) xx 1.5 xx 10^(6) xx 4.2 J = 4.2 = 4.2 xx 10^(6) J`
`:. W = 4.2 xx 10^(6) J`.