MCQ
Consider a heat engine as shown in $Q_1$ and $Q_2$ are heat added to heat bath $T_1$ and heat taken from $T_2$ in one cycle of engine. W is the mechanical work done on the engine. If $\mathrm{W}>0$, then possibilities are:
  • $\text{Q}_1>\text{Q}_2>0$
  • B
    $\text{Q}_2>\text{Q}_1>0$
  • C
    $\text{Q}_2<\text{Q}_1<0$
  • D
    $\text{Q}_1<0,\text{Q}_2>0$

Answer

Correct option: A.
$\text{Q}_1>\text{Q}_2>0$

From $\text{Q}_{1}=\text{W}+\text{Q}_{2}$
$\therefore\text{W}>0$ So $\therefore\text{Q}_{1}-\text{Q}_{2}$ or $\text{Q}_{1}>0$
$\therefore\text{Q}_{1}>\text{Q}_{2}>0$ if both $\text{Q}_{1},\text{Q}_{2}$ position verifies option $(a).$
Or $\text{Q}_{2}<\text{Q}_{1}<0$ if both $\text{Q}_{1}\text{Q}_{2}$ negative verifies option $(c).$

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