A gas is allowed to expand against a constant external pressure of 2.5 bar from an initial volume of $2.5…

A gas is allowed to expand against a constant external pressure of 2.5 bar from an initial volume of $2.5 \mathrm{~L}$ to a final volume of $4.5 \mathrm{~L}$. What is amount of work done?
  1. -375 J
  2. -650 J
  3. -250 J
  4. -500 J

Solution

$\begin{aligned} W & =-P\left(V_2-V_1\right) \\ & =-2.5(4.5-2.5) \\ & =-5.0 \mathrm{bar}-\mathrm{L} \\ & =-500 \mathrm{~J}\end{aligned}$

Asked in: MHT CET 2022 (08 Aug Shift 1)

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