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24 January, 03:11

Aconitase catalyzes the citric acid cycle reaction: citrate isocitrate. The standard free energy change, ΔGo ', for this reaction is + 6.7 kJ/mol. However, the observed free energy change (ΔG) for this reaction in pig heart mitochondria is + 0.8 kJ/mol. What is the ratio of [isocitrate]/[citrate] in these mitochondria? If [isocitrate] = 0.03 mM, what is [citrate]

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  1. 24 January, 03:27
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    A. [isocitrate]/[citrate] = 0.724

    B. [citrate] = 24.1 mM

    Explanation:

    Using the equation, ∆G'° = - RTlnK'eq

    Where, ∆G'° = 0.8 KJ/mol = 800 J/mol; R is molar gas constant = 8.315 J/mol; T is standard temperature = 298 K; Keq is equilibrium constant = [isocitrate]/[citrate]

    Making Keq subject of formula in the above equation;

    Keq = e^ (-∆G'°/RT)

    = e^ {-800 / (8.315*298) }

    = e^ (-0.323)

    Keq = 0.724

    Therefore, [isocitrate]/[citrate] = 0.

    724

    B. Keq = [isocitrate]/[citrate]

    Where Keq = 0.724, [isocitrate] = 0.03mM.

    [citrate] = Keq/[isocitrate]

    = 0.724/0.03

    [citrate] = 24.1 mM
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