A Carnot enginer abosrbs an amount Q of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of `T//3`. The amount of heat rejects is

Options

A. `Q//4`
B. `Q//3`
C. `Q//2`
D. `2Q//3`

Answer

B

Explanation

`:' eta = 1 -(T_2)/(T_1) = W/(Q_1)`
Where `Q_(1)` = heat absorbed , `Q_(2)` = heat rejected
`implies 1-(T//3)/(T) = W/(Q_1) implies 2/3 = W/(Q_1) = (Q_1-Q_2)/(Q_1)`
`implies 2/3 = 1 -(Q_2)/(Q_1)implies (Q_2)/(Q_1) = 1/3 implies Q_(2 = (Q_1)/(3) = Q/3`.