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16 August, 14:27

Assuming the reaction is first order in sucrose, determine the mass of sucrose that is hydrolyzed when 2.50 L of a 0.130 M sucrose solution is allowed to react for 190 min.

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  1. 16 August, 14:37
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    Full Question:

    The hydrolysis of sucrose C12H22O11 into glucose and fructose in acidic water has a rate constant of 1.8 x 10^-4 s^-2 at 25 C.

    Assuming the reaction is first order in sucrose, determine the mass of sucrose that is hydrolyzed when 2.50 L of a 0.130 M sucrose solution is allowed to react for 190 minutes.

    Answer:

    96.96g

    Explanation:

    t = 190 x 60 = 11400 s (upon conversion to seconds)

    k = 1.8 x 10^-4 s^-2

    ln[A] - ln[A]o = - kt

    ln[A] = - kt + ln[A]o

    ln[A] = - (1.8 x 10^-4 * 11400) + ln (0.130)

    ln[A] = - 2.052 - 2.04

    [A] = 0.0167M

    initial moles = 2.50 x 0.130 = 0.325

    moles after 190 min = 0.0167 x 2.50 = 0.04175

    moles hydrolyzed = 0.325 - 0.04175 = 0.28325

    mass = 0.28325 x 342.30 g/mol = 96.96g
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