JEE Main 2019 — Physics solution

JEE Main2019Physics

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? (R = 8.3 J/mol K)

A
19.7 J/mol K
B
21.6 J/mol K
C
15.7 J/mol K
D
17.4 J/mol K

Solution

$5 C_{V} = 2 \times \frac{3 R}{2} + 3 \times \frac{5 R}{2} C_{V} = \frac{21 R}{10}$

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