Student Login

Home›Chapters›Thermodynamics PYQs›Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation›Question 10

MHT CET 2025 (19 Apr, Shift 1) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from MHT CET 2025 (19 Apr, Shift 1)

Q10MHT CET 2025 · 19 APR · SHIFT 1Medium

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 ' $C_p$ ' and ' $C_v$ ' respectively. If ' R ' is a universal gas constant and the ratio of ' $C_p$ ' to ' $C_v$ ' is $\gamma$ , then ' $C_p$ ' is equal to

Show answer and solution

Answer: (c)

$C_p - C_v = R$ and $C_v = \dfrac{C_p}{\gamma}$ .
$C_p\left(1 - \dfrac{1}{\gamma}\right) = R \Rightarrow C_p = \dfrac{R\gamma}{\gamma - 1}$
So the answer is (c) $\dfrac{R\gamma}{\gamma-1}$ .

Report a mistake

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

For a diatomic gas, if γ₁ = ((Cp)/(Cv)) for rigid molecules and γ₂ = ((Cp)/(Cv)) for…JEE Main 2025 (22 Jan, Shift 2)
γA is the specific heat ratio of monoatomic gas A having 3 translational degrees of…JEE Main 2025 (2 Apr, Shift 1)
The ratio of the specific heats (Cp)/(Cv) = γ, in terms of degrees of freedom ( n) isMHT CET 2024 (16 May, Shift 2)
For a gas, R/Cv = 0.4 where R is the universal gas constant and ' CV ' is molar specific…MHT CET 2024 (10 May, Shift 2)
If Cp and Cv are molar specific heats of an ideal gas at constant pressure and volume…MHT CET 2024 (4 May, Shift 2)
According to the law of equipartition of energy the molar specific heat of a diatomic gas…MHT CET 2024 (4 May, Shift 1)
According to the law of equipartition of energy, the number of vibrational modes of a…NEET 2024
A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept…JEE Main 2024 (8 Apr, Shift 1)