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If $150 \mathrm{~J}$ of heat is added to a system and the work done by the system is $110 \mathrm{~J}$, then change in internal energy will be
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Verified Answer
The correct answer is:
$40 \mathrm{~J}$
From the first law of thermodynamics, if an amount of heat $Q$ is given to a system, a part of it is used in increasing the internal energy $\Delta U$ of the system and the rest in doing work $W$ by the system.
$\begin{array}{rlrl}
\therefore & Q & =\Delta U+W \\
\Rightarrow & & \Delta U & =Q-W \Rightarrow \Delta U=150-110 \\
& & =40 \mathrm{~J}
\end{array}$
$\begin{array}{rlrl}
\therefore & Q & =\Delta U+W \\
\Rightarrow & & \Delta U & =Q-W \Rightarrow \Delta U=150-110 \\
& & =40 \mathrm{~J}
\end{array}$
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