A gas absorbs certain amount of heat and expands by $200 \mathrm{~cm}^3$ against a constant external…

A gas absorbs certain amount of heat and expands by $200 \mathrm{~cm}^3$ against a constant external pressure of $2 \times 10^5 \mathrm{Nm}^{-2}$. What is work done by system?
  1. -400.3 J
  2. -40.53 J
  3. -3.947 J
  4. $\quad-253.1 \mathrm{~J}$

Solution

$\begin{aligned} \mathrm{W} & =-\mathrm{P} \Delta \mathrm{V} \\ & =-2 \times 10^5 \mathrm{~N} \mathrm{~m}^{-2} \times 200 \times 10^{-6} \mathrm{~m}^3 \\ & =-40.0 \mathrm{~J} \approx-40.53 \mathrm{~J}\end{aligned}$

Asked in: MHT CET 2024 (02 May Shift 1)

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