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JEE Main201912 Apr 2019Morning ShiftPhysicsKinetic Theory of GasesActual

Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume? R = 8.3 J / m o l K

Options

  1. A17.4 J / m o l K
  2. B19.7 J / m o l K
  3. C15.7 J / m o l K
  4. D21.6 J / m o l K

Correct answer

A. 17.4 J / m o l K

Step-by-step solution

C v m i x = n 1 C v 1 + n 2 C v 2 n 1 + n 2 = 2 3 2 R + 3 5 2 R 2 + 3 = 3 R + 15 2 R 5 = 21 10 R = 17.4   J / m o l   K

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