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MHT CET · Chemistry · Thermodynamics (C)

Calculate the work done in joule if 1 mole of an ideal gas compressed from volume \(24 \mathrm{dm}^3\) to \(13 \mathrm{dm}^3\) at constant external pressure 3 bar.

  1. A 3300 J
  2. B 2250 J
  3. C 4400 J
  4. D 4870 J
Verified Solution

Answer & Solution

Correct Answer

(A) 3300 J

Step-by-step Solution

Detailed explanation

\(\Delta V = (13 - 24) \mathrm{dm}^3 = -11 \mathrm{dm}^3 = -0.011 \mathrm{m}^3\) \(W = -P_{ext} \Delta V = -(3 \times 10^5 \mathrm{Pa}) \times (-0.011 \mathrm{m}^3) = 3300 \mathrm{J}\)