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NEET2018ChemistryThermodynamics (C)Actual

1 mole of an ideal gas expands isothermally reversibly from 2 litre to 4 litre and 3 moles of the same gas expands from 2 litre to x litre and doing same work, what is ' x '?

Options

  1. A(8)^ 1 / 3
  2. B(4)^ 2 / 3
  3. C2
  4. D4

Correct answer

B. (4)^ 2 / 3

Step-by-step solution

aligned & w=n R T V₂ V₁ & R T 4 2 =3 R T x 2 & 2= ( x 2 )^3 & x^3=16 x=(16)^ 1 3 =4^ 2 3 aligned

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