JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
\(\mathrm{N}\) moles of a polyatomic gas \((f=6)\) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of \(\mathrm{N}\) is _______.
- A \(6\)
- B \(3\)
- C \(4\)
- D \(2\)
Answer & Solution
Correct Answer
(C) \(4\)
Step-by-step Solution
Detailed explanation
\(\mathrm{f}_{\mathrm{eq}}=\frac{\mathrm{n}_1 \mathrm{f}_1+\mathrm{n}_2 \mathrm{f}_2}{\mathrm{n}_1+\mathrm{n}_2}\) For diatomic gas \(\mathrm{f}_{\mathrm{eq}}=5\) \( 5=\frac{(N)(6)+(2)(3)}{N+2} \) \( 5 N+10=6 N+6 \) \( N=4\)
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