If the energy input to a carnot engine is thrice the work it performs then, the fraction of energy rejected to the sink is

If the energy input to a carnot engine is thrice the work it performs

1.	If the energy input to a carnot engine is thrice the work it performs then, the fraction of energy rejected to the sink is
Answer» `(1)/(3)` `(1)/(4)` `(2)/(3)` `(3)/(4)` Solution :If `Q_(1)` is the energy input and `Q_(2)` is the energy REJECTED to the sink, then work done `W = Q_(1) - Q_(2)` Dividing by `Q_(1)` on both SIDES, we get `(W)/(Q_(1)) = 1 - (Q_(2))/(Q_(1))` or `(Q_(2))/(Q_(1)) = 1 - (W)/(Q_(1))` As `Q_(1) = 3W` (given) `:. (Q_(2))/(Q_(1)) = 1 - (W)/(3W) = 1 - (1)/(3) = (2)/(3)` Thus the fraction of energy rejected to the sink is `(2)/(3)`.