At a certain temperature, $T(K)$, during a process, 500 J is absorbed by the system and work of 200

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At a certain temperature, $T(K)$, during a process, 500 J is absorbed by the system and work of 200 J is done by the system. Then change in internal energy of the system is:

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Sol. [Key Concept: First law of thermodynamics: ΔU = q + w] From first law of thermodynamics$$\begin{matrix} \Delta U & \ = q + w \ q & \ = + 500	ext{ }J \ w & \ = - 200	ext{ }J \ \Delta U & \ = 500 - 200 \ & \ = 300	ext{ }J \end{matrix}$$

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