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The pressure of an ideal gas varies with volume as P= V , where is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes ' m ' times its initial volume. The work done by the gas in the process is

Options

  1. AV 2 (m^2-1 )
  2. B^2 V^2 2 (m^2-1 )
  3. C2 (m^2-1 )
  4. DV^2 2 (m^2-1 )

Correct answer

D. V^2 2 (m^2-1 )

Step-by-step solution

Given P= V Work done, w= _V^ m V P d V= _V^ m V V d V= V^2 2 (m^2-1 ) .

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