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JEE Main 2024 (1 Feb, 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 2024 (1 Feb, Shift 1)

Q19JEE Main 2024 · 1 FEB · SHIFT 1Medium

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

Two moles of a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is:

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Answer: (d)

  1. CVmix=n1CV1+n2CV2n1+n2C_V^{mix} = \dfrac{n_1 C_{V1} + n_2 C_{V2}}{n_1 + n_2}
  2. =2×32R+6×52R8=3R+15R8=94R= \dfrac{2 \times \frac{3}{2}R + 6 \times \frac{5}{2}R}{8} = \dfrac{3R + 15R}{8} = \dfrac{9}{4}R
  3. So the answer is (d) 94R\dfrac{9}{4}R.
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