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    Question



    Choose the Incorrect Statement:

    A.

    For a system at equilibrium, chemical potential is the same in all phases.

    B.

    Gibbs's free energy change is zero at the equilibrium state of a system.

    C.

    Gibbs's free energy change is positive for a reaction to occur spontaneously.

    D.

    ΔG will become more negative with increasing temperature.

    Correct option is C


    The incorrect statement is (c). Gibbs's free energy change (ΔG) must be negative for a reaction to occur spontaneously, not positive. If ΔG is positive, the reaction is non-spontaneous, meaning it requires an input of energy to proceed.
    Explanation of Other Options:
    1. (a) For a system at equilibrium, chemical potential is the same in all phases:
    · Correct. At equilibrium, the chemical potential of a substance must be the same across all phases for no net change to occur.
    2. (b) Gibbs's free energy change is zero at the equilibrium state of a system:
    · Correct. At equilibrium, ΔG=0, meaning there is no driving force for the reaction to move forward or backward.
    3. (d) ΔG\Delta GΔG will become more negative with increasing temperature:
    · Correct. Depending on the enthalpy (ΔH) and entropy (ΔS) terms, increasing temperature can make ΔG more negative if the entropy change (ΔS) is positive.
    Information Booster: 1. Gibbs Free Energy (ΔG): Determines the spontaneity of a reaction:
    · ΔG<0: Reaction is spontaneous.
    · G>0: Reaction is non-spontaneous.
    · ΔG=0: Reaction is at equilibrium.
    2. Equation for ΔG\Delta GΔG:
    ΔG=ΔH−TΔS
    Where:
    · ΔH = Enthalpy change
    · T = Temperature (in Kelvin)
    · ΔS = Entropy change
    3. Chemical Potential: Represents the free energy per mole of a substance and must be equal in all phases at equilibrium.
    4. Temperature Dependence: If ΔS is positive, increasing temperature makes ΔG more negative, favoring spontaneity.
    5. Equilibrium: A state where the forward and reverse reactions occur at the same rate, and no net change is observed.
    Additional Knowledge: · Spontaneous Reactions: Occur without external energy input and have ΔG<0.
    · Non-Spontaneous Reactions: Require energy input and have ΔG>0.
    · Effect of Temperature: High temperatures favor reactions with positive ΔS.
    · Phase Equilibrium: Chemical potential equality ensures no net transfer of matter between phases.

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