Question

A carnot engine has the same efficiency between 800 K to 500K and x K to 600 K. The value of x is

• A. 1000 K
• B. 960 K
• C. 846 K
• D. 754 K

Answer 1

Answer: (B)

960 K

Efficiency of a carnot's engine:

$\eta =1-\frac{T_C}{T_H}$

Same efficiency implies:

$\frac{T_{C_1}}{T_{H_1}}=\frac{T_{C_2}}{T_{H_2}}$
$\frac{500}{800}=\frac{600}{T}$

$T=960K$

Hence, the correct answer is option B.