Question

A carnot engine has same efficiency between (i)1000K and 500K and (ii) T K and 900 K. The value of T

• A. 90
• B. 1800
• C. 270
• D. 360

Answer 1

Answer: (B)

1800

Efficiency of the carnot engine$\left(\eta \right)=\frac{W}{Q_h}=1-\frac{T_c}{T_h}$
$\therefore 1-\frac{T_{c_1}}{T_{h_1}}=1-\frac{T_{c_2}}{T_{h_2}}$
$\frac{500}{1000}=\frac{900}{T}$

$T=900\times 2=1800K$

Hence, option B is correct.