When $\mathrm{x} \mathrm{kJ}$ heat is provided to a system, work equivalent to $\mathrm{y} \mathrm{J}$ is…

When $\mathrm{x} \mathrm{kJ}$ heat is provided to a system, work equivalent to $\mathrm{y} \mathrm{J}$ is done on it. What is internal energy change during this operation?
  1. $(1000 x+y) J$
  2. $1000(x+y) J$
  3. $(x+1000 y) J$
  4. $x+y ~ J$

Solution

$\begin{aligned} & \mathrm{Q}=+\mathrm{xkJ}=1000 \mathrm{x} \mathrm{J} \\ & \mathrm{W}=+\mathrm{y} \mathrm{J} \end{aligned}$ From I law of Thermodynamics $\begin{aligned} & \Delta U=Q+W \\ & =(1000 x+y) J \end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 1)

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