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JEE Main 2023 (10 Apr, Shift 2) · Degrees of Freedom & Internal Energy

Degrees of Freedom & Internal Energy question from JEE Main 2023 (10 Apr, Shift 2)

Q18JEE Main 2023 · 10 APR · SHIFT 2Medium

Degrees of Freedom & Internal Energy

A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,

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Answer: (d)

  1. O2\text{O}_2 (no vibration): f=5f = 5; Ne: f=3f = 3.
  2. U=2×52RT+4×32RT=5RT+6RTU = 2 \times \frac{5}{2}RT + 4 \times \frac{3}{2}RT = 5RT + 6RT
  3. So the answer is (d) 11RT11RT.
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