An ideal gas is compressed from $10 \mathrm{dm}^3$ to $1 \mathrm{dm}^3$ at a constant pressure 2 bar.…

An ideal gas is compressed from $10 \mathrm{dm}^3$ to $1 \mathrm{dm}^3$ at a constant pressure 2 bar. Calculate the work done by gas during compression.
  1. $1.0 \mathrm{~kJ}$
  2. $1.5 \mathrm{~kJ}$
  3. $1.8 \mathrm{~kJ}$
  4. $2.0 \mathrm{~kJ}$

Solution

$\begin{aligned} \mathrm{W} & =-\mathrm{P}\left(\mathrm{V}_2-\mathrm{V}_1\right) \\ & =-2(1-10) \\ & =+18 \mathrm{bar}-\mathrm{dm}^3 \\ & =1.8 \mathrm{KJ}\end{aligned}$

Asked in: MHT CET 2022 (10 Aug Shift 1)

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