The entropy of mixing of 10 moles of 10 moles of helium and 10 moles of oxygen at constant temperature and… · ABC26PH0579

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Laws State Functions · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

The entropy of mixing of 10 moles of 10 moles of helium and 10 moles of oxygen at constant temperature and pressure, assuming both to be ideal gas, is:
(a)$115.3 \mathrm{JK}^{-1}$
(b)$5.8 \mathrm{Jk}^{-1}$
(c)$382.9 \mathrm{JK}^{-1}$
(d)$230.6 \mathrm{JK}^{-1}$
Answer
Answer: A ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation
ΔS_mix = −nR Σ x_i ln x_i = −20 × 8.314 × (2 × ½ ln ½) = 20 × 8.314 × 0.693 = 115.3 J K⁻¹.

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