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MHT CET · Chemistry · Thermodynamics (C)

Calculate work done if 1 mole of an ideal gas expands isothermally from \(2 \mathrm{dm}^3\) to \(2.8 \mathrm{dm}^3\) against constant external pressure 1 atm

  1. A \(-40 \cdot 52 \mathrm{~J}\)
  2. B \(-81.04 \mathrm{~J}\)
  3. C \(-121.56 \mathrm{~J}\)
  4. D \(-60 \cdot 78 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(-81.04 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

\(\Delta V = 2.8 \, \mathrm{dm}^3 - 2 \, \mathrm{dm}^3 = 0.8 \, \mathrm{dm}^3 = 0.8 \, \mathrm{L}\) \(W = -P_{ext} \Delta V = -(1 \, \mathrm{atm}) (0.8 \, \mathrm{L})\)