Question

An ideal gas heat engine operates in a Carnot's cycle between ${227}^{\circ }$C and ${127}^{\circ }$C. It absorbs $6\times {10}^{4}J$ at high temperature. The amount of heat converted into work is ....

• A. $4.8\times {10}^{4}J$
• B. $3.5\times {10}^{4}J$
• C. $1.6\times {10}^{4}J$
• D. $1.2\times {10}^{4}J$

Answer 1

The correct option is D $1.2\times {10}^{4}J$

$\eta =1-\frac{T_2}{T_1}=1-\frac{400}{500}=\frac{1}{5}$
$\because \eta =\frac{W}{Q}\Rightarrow \frac{1}{5}=\frac{W}{Q}$
$\Rightarrow W=\frac{Q}{5}=\frac{6}{5}\times {10}^4=1.2\times {10}^{4}J$