Home Chemistry Thermodynamics and Thermochemistry General The molar entropy content of 1 mole of oxyge…
Chemistry Thermodynamics and Thermochemistry General Single Correct MCQ
Published on: August 13, 2026

The molar entropy content of 1 mole of oxygen (O 2 ) gas at 300 K and 1 atm is 250 J mole –1 K –1 . Calculate Δ G when 1 mole of oxgyen is expanded reversibily and isothermally from 300 K, 1 atm to double its volume (Take R = 8.314 J mole –1 K –1 , log e = 2.303)

A
1.728 KJ mole –1 K –1
B
0
C
–1.728 KJ mole –1 K –1
D
0.75 KJ mole –1 K –1

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Text Solution

Verified by Experts
The correct answer is:
C

Δ G = Δ H – Δ (TS)

= Δ H – T Δ S (isothermal)

= 0 – T Δ S = – T

= – = – q rev = W rev

as process is isothermal so Δ E = 0 = q rev + W rev

so Δ G = – nRT ln

= – RT ln 2 = – 8.314 × 300 × 0.693 × 10 –3 KJ mol –1 K –1

= – 1.728 KJ mol –1 K –1

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