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JEE Main 2021 (17 Mar, Shift 1) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2021 (17 Mar, Shift 1)

Q43JEE Main 2021 · 17 MAR · SHIFT 1Medium

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

A polyatomic ideal gas has 24 vibrational modes. What is the value of γ\gamma?

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Answer: (c)

  1. Translation + rotation: 3R3R; each vibrational mode adds RR.
  2. CV=3R+24R=27RC_V = 3R + 24R = 27R, CP=28RC_P = 28R
  3. γ=2827≈1.03\gamma = \dfrac{28}{27} \approx 1.03
  4. So the answer is (c) 1.03.
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