If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas (β = (CP)/(CV)) then the value of β is: (a) 1.02 (b) 1.35 (c) 1.2 (d) 1.25

Answer: (c). Polyatomic: translation + rotation give 3R; each vibrational mode adds R. CV = 3R + 2R = 5R, CP = 6R β = 6R/5R = 1.2 So the answer is (c) 1.2.

If one mole of the polyatomic gas is having two vibrational modes and… | JEE Main 2021 (17 Mar, Shift 2)

Q42JEE Main 2021 · 17 MAR · SHIFT 2Medium

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

If one mole of the polyatomic gas is having two vibrational modes and $\beta$ is the ratio of molar specific heats for polyatomic gas $\left(\beta = \frac{C_P}{C_V}\right)$ then the value of $\beta$ is:

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Answer: (c)

Polyatomic: translation + rotation give $3R$ ; each vibrational mode adds $R$ .
$C_V = 3R + 2R = 5R$ , $C_P = 6R$
$\beta = \dfrac{6R}{5R} = 1.2$
So the answer is (c) 1.2.

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Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2021 (17 Mar, Shift 2)

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