Student Login

Home›Chapters›Thermodynamics PYQs›Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation›Question 24

MHT CET 2023 (12 May, Shift 2) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from MHT CET 2023 (12 May, Shift 2)

Q24MHT CET 2023 · 12 MAY · SHIFT 2Easy

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

For polyatomic gases, the ratio of molar specific heat at constant pressure to constant volume is ( $f =$ degrees of freedom)

Show answer and solution

Answer: (d)

Polyatomic molecule with $f$ vibrational modes: $C_v = (3+f)R$ (3 translational + 3 rotational halves give $3R$ , each vibrational mode gives $R$ ).
$C_p = C_v + R = (4+f)R$
$\gamma = \frac{4+f}{3+f}$
So the answer is (d) $\frac{4+f}{3+f}$ .

Report a mistake

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

The molar specific heat of an ideal gas at constant pressure and constant volume is Cp…MHT CET 2023 (12 May, Shift 1)
For a gas, R/Cv = 0.4, where R is universal gas constant and Cv is molar specific heat at…MHT CET 2023 (11 May, Shift 2)
For a gas having ' X ' degrees of freedom, ' γ ' is ( γ = ratio of specific heats = CP/CV)MHT CET 2023 (9 May, Shift 1)
Let γ₁ be the ratio of molar specific heat at constant pressure and molar specific heat…MHT CET 2023 (12 May, Shift 1)
According to law of equipartition of energy the molar specific heat of a diatomic gas at…JEE Main 2023 (25 Jan, Shift 2)
Let γ₁ be the ratio of molar specific heat at constant pressure and molar specific heat…JEE Main 2023 (24 Jan, Shift 2)
A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to…JEE Main 2022 (26 Jul, Shift 2)
The ratio of specific heats ((CP)/(CV)) in terms of degree of freedom (f) is given by:JEE Main 2022 (25 Jun, Shift 2)