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Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 315 / 2 / d / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2022 iii Paper 315 2 d
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At fixed temperature and pressure, thermochemical equilibrium minimizes the Gibbs free energy subject to elemental conservation. For every independent reaction with stoichiometric coefficients νi​,
Δr​G=i∑​νi​μi​=0​.
(1)
Equivalently, forward and reverse rates satisfy detailed balance. For ideal gases,
i∏​(p∘pi​​)νi​=Kp​(T)=exp[−RTΔr​G∘(T)​]​.
(2)

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