A Carnot engine takes 5000 kcal of heat from a reservoir at... | Physics | SolveeIt | Solveeit

Today, August 19

Question

A Carnot engine takes 5000 kcal of heat from a reservoir at 727°C and gives heat to a sink at 127°C. The work done by the engine is

A

$3 × 10^6$ J

B

Zero

C

$12.6 × 10^6$ J

D

$8.4 × 10^6$ J

Answer

$12.6 × 10^6$ J

Explanation

Solution

$Efficiency$

$η = 1 - \frac{T_L}{T_H}$

= $1 - \frac{400}{1000}$

= $0.6$

⇒ $0.6 = \frac{W}{Q}$

⇒ $W = 0.6 Q = 3000\; Kcal$

= $12.6 \times 10^6 \;J$