ABC26PH0206 · Statistical Thermodynamics
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Maxwell Boltzmann · Exam: CSIR-NET DEC 2015 · Marks: 2 · Difficulty: Easy
The standard deviation of speed $\left(\sigma_{c}\right)$ for Maxwell's distribution satisfies the relation
(a)$\sigma_{c} \propto T$
(b)$\sigma_{c} \propto \sqrt{T}$
(c)$\sigma_{c} \propto \frac{1}{T}$
(d)$\sigma_{c} \propto 1/\sqrt{T}$
Answer
Explanation
Standard deviation of Maxwell's speed $=\sqrt{\langle v^{2}\rangle-\langle v\rangle^{2}} \approx 0.7\sqrt{\dfrac{RT}{M}}$. $\sigma_{c} \propto \sqrt{T}$.
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