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

Q30 · CSIR-NET Chemistry, December 2015

Paper: CSIR-NET December 2015 · Subject: Physical Chemistry · Chapter: Gaseous State · Topic: Gaseous State – General · Marks: 2 · Difficulty: Easy

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

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

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

(c)$\sigma_{c} \propto 1 / T$

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

Answer

Answer: B ✓ checked by 4AB · confidence high

Explanation

Every Maxwell speed measure, including the standard deviation, scales as √(T/M), so σ ∝ √T (b).

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