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MHT CET · Chemistry · Thermodynamics (C)

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. A \(10 \mathrm{~kJ}\)
  2. B \(201.0 \mathrm{~kJ}\)
  3. C \(497 \mathrm{~kJ}\)
  4. D \(190 \mathrm{~kJ}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(10 \mathrm{~kJ}\)

Step-by-step Solution

Detailed explanation

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