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Consider a heat engine as shown in figure. $Q_1$ and $Q_2$ are heat added both to $T_1$ and heat taken from $T_2$ in one cycle of engine. $W$ is the mechanical work done on the engine. If $W>0$, then possibilities are
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Verified Answer
The correct answers are:
$Q_1>Q_2>0$
,
$Q_2 < Q_1 < 0$
$Q_1>Q_2>0$
,
$Q_2 < Q_1 < 0$
Let us consider the given figure so
$$
\begin{aligned}
&Q_1=W+Q_2 \\
&\because W>0 \text {, so } Q_1-Q_2>0 \text { or } Q_1>Q_2 \text { (given) }
\end{aligned}
$$
$Q_1>Q_2>0$ if both $Q_1, Q_2$ are positive.
We can also written as $Q_2 < Q_1 < 0$ if both $Q_1$ and $Q_2$ are negative.
$$
\begin{aligned}
&Q_1=W+Q_2 \\
&\because W>0 \text {, so } Q_1-Q_2>0 \text { or } Q_1>Q_2 \text { (given) }
\end{aligned}
$$
$Q_1>Q_2>0$ if both $Q_1, Q_2$ are positive.
We can also written as $Q_2 < Q_1 < 0$ if both $Q_1$ and $Q_2$ are negative.
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