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25 September, 14:06

The reaction is first order in cyclopropane and has a measured rate constant of k=3.36*10-5 s-1 at 720 k. if the initial cyclopropane concentration is 0.0445 m, what will the cyclopropane concentration be after 235.0 min

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  1. 25 September, 14:14
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    0.0277 M.

    Explanation:

    The integral rate law of a first order reaction:

    Kt = ln ([A₀]/[A]),

    where, k is the rate constant of the reaction (k = 3.36 * 10⁻⁵ s⁻¹),

    t is the time of the reaction (t = 235.0 min = 14100 s),

    [A₀] is the initial concentration of cyclopropane ([A₀] = 0.0445 M)

    ∵ Kt = ln ([A₀]/[A]),

    ∴ (3.36 * 10⁻⁵ s⁻¹) (14100 s) = ln (0.0445 M) / [A]

    Taking the exponential of both sides:

    1.6 = (0.0445 M) / [A]

    ∴ [A] = (0.0445 M) / 1.6 = 0.0277 M.
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