Student Login

Home›Chapters›Thermodynamics PYQs›Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation›Question 47

JEE Main 2020 (8 Jan, Shift 2) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2020 (8 Jan, Shift 2)

Q47JEE Main 2020 · 8 JAN · SHIFT 2Medium

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

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its CP/CV value will be:

Show answer and solution

Answer: (d)

He: $n$ moles, $C_V = \dfrac{3}{2}R$ ; $O_2$ : $2n$ moles, $C_V = \dfrac{5}{2}R$ .
Total $C_V$ : $\dfrac{3}{2}n R + 5nR = \dfrac{13}{2}nR$ ; total $C_P$ : $\dfrac{5}{2}nR + 7nR = \dfrac{19}{2}nR$
$\gamma = \dfrac{19}{13}$
So the answer is (d) $19/13$ .

Report a mistake

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

Two moles of an ideal gas with (CP)/(CV) = 5/3 are mixed with 3 moles of another ideal…JEE Main 2020 (7 Jan, Shift 1)
If ' CP ' and ' CV ' are molar specific heats of an ideal gas at constant pressure and…MHT CET 2019 (2 May, Shift 1)
The value of γ (= (Cp)/(Cv)), for hydrogen, helium and another ideal diatomic gas X…NEET 2019
The specific heats, CP and CV of a gas of diatomic molecules, A, are given (in units of J…JEE Main 2019 (9 Apr, Shift 2)
Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be…JEE Main 2019 (12 Apr, Shift 1)
Two moles of helium are mixed with n moles of hydrogen. If (Cp)/(Cv) = 3/2 for the…JEE Main 2018 (16 Apr, Shift 1)
An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at…JEE Main 2017 (8 Apr, Shift 1)
CP and Cv are specific heats at constant pressure and constant volume respectively. It is…JEE Main 2017