Question

A cycle engine exchanges heat with two reservoirs maintained at ${100}^{o}C$ and ${300}^{o}C$respectively. The maximum work that can be obtained from 1000 J of heat extracted from the hot reservoir is

• A. 349 J
• B. 651 J
• C. 667 J
• D. 1000 J

Answer 1

The correct option is A 349 J


Given,
$Q_1=1000J$

For maximum work cycle must be reversible,

$\eta =1-\frac{T_L}{T_H}=\frac{W}{Q_1}$

$1-\frac{273+100}{273+300}=\frac{W}{1000}$

$\Rightarrow W=349J$