For an isothermal free expansion of an ideal gas into vaccum, which one of the following set of values is… · ABC26PH0846

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

For an isothermal free expansion of an ideal gas into vaccum, which one of the following set of values is correct?
(a)$\Delta \mathrm{U}=0, \mathrm{q}>0, \mathrm{w}<0$
(b)$\Delta \mathrm{U}>0, \mathrm{q}>0, \mathrm{w}=0$
(c)$\Delta \mathrm{U}=0, \mathrm{q}=0, \mathrm{w}=0$
(d)$\Delta \mathrm{U}<0, \mathrm{q}=0, \mathrm{w}<0$
Answer
Answer: C ✓ checked by 4AB · confidence high

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

Explanation
Expansion into vacuum: w = 0 (p_ext = 0), q = 0 (isothermal ideal gas, no work), so ΔU = 0.

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