The efficiency of a Carnot engine working between 127°C and 77°C is

Question

The efficiency of a Carnot engine working between 127°C and 77°C is (A) 10.5 % (B) 11.5 % (C) 12.5 % (D) 13.5 %

Tardigrade Admin · Accepted Answer

Efficiency of the carnot engine η=1-(T2/T1) where, T1 = temperature of source T2 = temperature of sink Here, T1 = 127°C = 400 K, T2 = 77°C = 350 K ∴ η = 1 -(350/400) = (50/400) × 100 = 12.5 %

Q. The efficiency of a Carnot engine working between $12 7^{\circ} C$ and $7 7^{\circ} C$ is

$10.5%$

$11.5%$

$12.5%$

$13.5%$

Efficiency of the carnot engine $η = 1 - \frac{T _{2}}{T _{1}}$
where, $T_{1} =$ temperature of source
$T_{2} =$ temperature of sink
Here, $T_{1} = 12 7^{\circ} C = 400 K$ ,
$T_{2} = 7 7^{\circ} C = 350 K$
$∴ η = 1 - \frac{350}{400}$
$= \frac{50}{400} \times 100$
$= 12.5%$

Q. The efficiency of a Carnot engine working between 127∘C and 77∘C is

10.5%

11.5%

12.5%

13.5%