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MHT CET202015 Oct 2020Evening ShiftChemistryThermodynamics (C)Actual

An ideal gas expands from 1 10⁻³ ~m ³ to 1 10⁻² ~m ³ at 300 ~K against a constant external pressure of 1 10⁵ ~nm ⁻² , work done is

Options

  1. A-9 10² ~J
  2. B-9 10³ ~J
  3. C-0.7 10³ ~J
  4. D-1 10³ ~J (a)

Correct answer

A. -9 10² ~J

Step-by-step solution

aligned V₁ &=1 10⁻³ ~m ³=0.001 ~m ³ V₂ &=1 10⁻² ~m ³=0.01 ~m ³ P_ ex &=1 10⁵ Nm ⁻² W &=-P_ ex (V₂-V₁ )=-1 10⁵(0.01-0.001) &=-0.009 10⁵ W &=-9 10² ~J aligned

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