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    Determining the Order of a Chemical Reaction

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    In an aqueous solution, glucose decomposed according to the results shown below.
    (a) Demonstrate that the reaction is first order.
    (b) Calculate the rate constant for the decomposition process.
    (c) Calculate the half-life (t1/2) for glucose under the specified conditions.

    Glucose decomposition results:
    Time (min), Glucose conc. (mM)
    0, 28.0
    22.5, 27.7
    60, 27.1
    120, 26.3
    240, 24.5

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    Solution Preview

    The attached file contains a complete solution.

    To show that the reaction is first order, plot the experimental data according to the equation for a first order reaction:

    ln[G]=ln[G]o-kt, where
    [G] = concentration of glucose
    [G]o = concentration of glucose at time zero
    k = rate constant
    t = time

    The above equation is in the form of a linear relation (y=slope*x+intercept), where y=ln[G], ...