At what speed of the molecules, the value of the Maxwell distribution function f(c) for the temperat — States of Matter and Gaseous State Chemistry Question
Question
At what speed of the molecules, the value of the Maxwell distribution function f(c) for the temperature $T$ will be the same as that of the temperature $n$ times higher?
Answer: B
💡 Solution & Explanation
Equating $f(C, T) = f(C, nT)$ simplifies to $n^{3/2} = e^{MC^2(n-1)/(2RTn)}$. Taking natural log gives $C = \sqrt{3RTn \ln n / M(n-1)}$. Therefore, correct answer is B.
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