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MHT CET · Chemistry · Thermodynamics (C)

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. A \(1.0 \mathrm{~kJ}\)
  2. B \(1.5 \mathrm{~kJ}\)
  3. C \(1.8 \mathrm{~kJ}\)
  4. D \(2.0 \mathrm{~kJ}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1.8 \mathrm{~kJ}\)

Step-by-step Solution

Detailed explanation

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