The standard deviation of speed (σc) for Maxwell's distribution satisfies the relation

Q33 · CSIR-NET Chemistry, December 2015

Paper: CSIR-NET December 2015 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Maxwell Boltzmann · 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

Answer: B ✓ checked by 4AB · confidence medium

Explanation

σ_c = √(3 − 8/π)·√(RT/M), so the standard deviation of speed is proportional to √T.

Study loop for Statistical Thermodynamics