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JEE Main202431 Jan 2024Evening ShiftPhysicsKinetic Theory of GasesActual

A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T . Neglecting all vibrational modes, the total internal energy of the system is

Options

  1. A29 R T
  2. B20 R T
  3. C27 R T
  4. D21 R T

Correct answer

C. 27 R T

Step-by-step solution

As we know, internal energy is given by, U = n C v T . Also argon gas is monoatomic and oxygen gas is diatomic. Therefore, total internal energy will be U n e t = n 1 C V 1 T + n 2 C V 2 T = 8 × 3 R 2 × T + 6 × 5 R 2 × T = 27 R T

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