• # question_answer An ideal gas heat engine operates in a Carnot's cycle between ${{227}^{o}}C$ and ${{127}^{o}}C$. It absorbs 6 × 104 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) $1.2\times {{10}^{4}}\,J$

 [d]$\eta =1-\frac{{{T}_{2}}}{{{T}_{1}}}=1-\frac{400}{500}=\frac{1}{5}$     $\because \ \eta =\frac{W}{Q}$ Þ $\frac{1}{5}=\frac{W}{Q}$ Þ $W=\frac{Q}{5}=\frac{6}{5}\times {{10}^{4}}=1.2\times {{10}^{4}}\,J$