The work done during the free expansion of one mole of an ideal gas at 27°C to twice its original volume is… · ABC26PH0836
Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium
The work done during the free expansion of one mole of an ideal gas at 27°C to twice its original volume is (given $: \mathrm{RT}=2494 \mathrm{J} \mathrm{mol}^{-1}, \ln 2=0.7, \log 2=0.3$ )
(a)$1746 \mathrm{J} \mathrm{mol}^{-1}$
(b)$-1746 \mathrm{J} \mathrm{mol}^{-1}$
(c)zero
(d)$748.2 \mathrm{J} \mathrm{mol}^{-1}$
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
Free expansion is against zero external pressure: w = −p_ext ΔV = 0 (and q = 0, ΔU = 0 for an ideal gas).