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MHT CET202123 Sep 2021Morning ShiftPhysicsThermodynamicsActual

For a monoatomic gas, the work done at constant pressure is ' W '. The heat supplied at constant volume for the same rise in temperature of the gas is

Options

  1. A2 ~W
  2. BW
  3. CW 2
  4. D3 ~W 2

Correct answer

D. 3 ~W 2

Step-by-step solution

At constant pressure, W = P . V For an ideal gas, PV = nRT aligned & P V = n R T & W = n R T aligned Heat supplied at constant volume, aligned & Q = U = nC _ v T = n 3 R 2 T & ( Formonoatomic gas C _ v = 3 2 R ) & Q = 3 ~W 2 aligned

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