Two moles of helium gas| KTG &Thermodynamics | JEE MAIN 2019

JEE MAIN 2019

12.04.19_S1

Question

Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume?

Select the correct option:

A

$19.7 \mathrm{~J} / \mathrm{mol} \mathrm{K}$

B

$21.6 \mathrm{~J} / \mathrm{mol} \mathrm{K}$

C

$15.7 \mathrm{~J} / \mathrm{mol} \mathrm{K}$

D

$17.4 \mathrm{~J} / \mathrm{mol} \mathrm{K}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & 5 C_V=2 \times \frac{3 R}{2}+3 \times \frac{5 R}{2} \\ & C_V=\frac{21 R}{10}\end{aligned}$

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