An ideal gas is compressed from a volume of $1 \mathrm{~m}^3$ to $0.5 \mathrm{~m}^3$ at a pressure of 0.2…

An ideal gas is compressed from a volume of $1 \mathrm{~m}^3$ to $0.5 \mathrm{~m}^3$ at a pressure of 0.2 bar. what is the value of work done by the gas during compression?
  1. $10 \mathrm{~kJ}$
  2. $201.0 \mathrm{~kJ}$
  3. $497 \mathrm{~kJ}$
  4. $190 \mathrm{~kJ}$

Solution

$\begin{aligned} & \mathrm{W}=-\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right) \\ & =-0.2(0.5-1) \mathrm{bar}-\mathrm{m}^3 \\ & =0.1 \mathrm{bar}-\mathrm{m}^3 \\ & =10 \mathrm{KJ}\end{aligned}$

Asked in: MHT CET 2022 (05 Aug Shift 2)

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