JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
\(2\, moles\) of helium gas is mixed with \(3\, moles\) of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ....... \(J/mol\, K\) ? \((R = 8.3\, J/mol\, K)\)
- A \(17.4\)
- B \(15.7\)
- C \(19.7\)
- D \(21.6\)
Answer & Solution
Correct Answer
(A) \(17.4\)
Step-by-step Solution
Detailed explanation
\(f_{\operatorname{mix}}=\frac{n_{1} f_{1}+n_{2} f_{2}}{n_{1}+n_{2}}=\frac{2 \times 3+3 \times 5}{5}=\frac{21}{5}\) \(C_{v}=\frac{f R}{5}=\frac{21}{5} \times \frac{R}{2}=17.4 \mathrm{J} / \mathrm{mol} \mathrm{K}\)
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