ABC26PH0193 · Statistical Thermodynamics
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Maxwell Boltzmann · Exam: CSIR-NET 2011-2020 · Marks: 2 · Difficulty: Medium
For an assembly of molecules (molar mass $=M$ ) at temperature $T$, the standard deviation of Maxwell's speed is approximately :
(a)$0.7 \sqrt{\frac{R T}{M}}$
(b)$1.4 \sqrt{\frac{R T}{M}}$
(c)$0.7 \sqrt{\left(\frac{M}{R T}\right)}$
(d)$1.4 \sqrt{\frac{M}{R T}}$
Answer
Explanation
Standard deviation of Maxwell's speed $=\sqrt{\langle v^{2}\rangle-\langle v\rangle^{2}}$. $\approx 0.67\sqrt{\dfrac{RT}{M}} \approx 0.7\sqrt{\dfrac{RT}{M}}$.
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