Determine ∆G° for the reaction 2 NO₂(g) ⇌ N₂O₄(g) if K= 6.94 at 25.0 °C. (R = 8.314 J/mol・K)

Chemistry & Chemical Reactivity
9th Edition
ISBN:9781133949640
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter18: Principles Of Chemical Reactivity: Entropy And Free Energy
Section18.5: Entropy Changes And Spontaneity
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Determine ∆G° for the reaction 2 NO₂(g) ⇌ N₂O₄(g) if K= 6.94 at 25.0 °C. (R = 8.314 J/mol・K) 

Expert Solution
Step 1

Relation of gibbs free energy with equilibrium constant is given as: 

∆G = ∆Go + RTlnK 

At equilibrium, ∆G=0

∆Go + RTlnK =0

∆Go = - RTlnK 

∆Go = -2.303RTlogK      ------(1)

where K is equilibrium constant 

R is gas constant

T is absolute temperature 

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