For an ideal gas with molar mass M, the molar translational entropy at a given temperature is proportional to · ABC26PH0554
Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium
For an ideal gas with molar mass M, the molar translational entropy at a given temperature is proportional to
(a)$M^{3/2}$
(b)$M^{1/2}$
(c)$e^{M}$
(d)$\ln(M)$
Answer
Answer: D ✓ checked by 4AB · confidence high
The source book printed B; on checking, D is correct — see the explanation.
Book printed (b).
Explanation
Sackur–Tetrode: S_m contains (3/2)R ln M, so S_trans ∝ ln M (d).
Study loop for Statistical Thermodynamics
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