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

(b) σc ∝ √(T). Explanation: σ = √((3 − 8/π)kT/m), so σ ∝ √T (b).

Q117 · CSIR-NET Chemistry, December 2015

Paper: CSIR-NET December 2015 · Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Maxwell Boltzmann · Marks: 2 · Difficulty: Medium

The standard deviation of speed $\left(\sigma_{\mathrm{c}}\right)$ for Maxwell's distribution satisfies the relation

(a)$\sigma_{\mathrm{c}} \propto \mathrm{T}$

(b)$\sigma_{\mathrm{c}} \propto \sqrt{\mathrm{T}}$

(c)$\sigma_{\mathrm{c}} \propto \frac{1}{\mathrm{T}}$

(d)$\sigma_{\mathrm{c}} \propto \frac{1}{\sqrt{\mathrm{T}}}$

Answer

Answer: B ✓ checked by 4AB · confidence high

Explanation

σ = √((3 − 8/π)kT/m), so σ ∝ √T (b).

Study loop for Statistical Thermodynamics