Physics · Kinetic Theory of Gases

JEE Main 2024 — 1 February, Shift 1 — Question 34

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

Answer: A

{{C}_{v}}=\frac{{{n}_{1}}{{C}_{{{v}_{1}}}}1+{{n}_{2}}{{C}_{{{v}_{2}}}}}{{{n}_{1}}+{{n}_{2}}}

$\begin{array}{*{35}{r}}{} & ~=\frac{2\times \frac{3}{2}\text{R}+6\times \frac{5}{2}\text{R}}{2+6} \\{} & ~=\frac{9}{4}\text{R} \\\end{array}$

Answer key and solution verified before publishing.

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