What is change in internal energy if a system gains $\mathrm{xJ}$ of heat and yJ work is done on it?

What is change in internal energy if a system gains $\mathrm{xJ}$ of heat and yJ work is done on it?
  1. $x-y$
  2. $-x+y$
  3. $-x-y$
  4. $x+y$

Solution

$\begin{aligned} \Delta \mathrm{E} & =\delta \mathrm{Q}=\delta \mathrm{W} \\ & =+\mathrm{x}+\mathrm{y}\end{aligned}$

Asked in: MHT CET 2022 (05 Aug Shift 1)

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