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15 August, 07:46

A tube has a length of 0.025 m and a cross-sectional area of 6.5 x 10-4 m2. The tube is filled with a solution of sucrose in water. The diffusion constant of sucrose in water is 5.0 x 10-10 m2/s. A difference in concentration of 5.2 x 10-3 kg/m3 is maintained between the ends of the tube. How much time is required for 5.7 x 10-13 kg of sucrose to be transported through the tube?

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  1. 15 August, 08:15
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    The time required for sucrose transportation through the tube is 8.4319 sec.

    Explanation:

    Given:

    L = 0.025 m

    A = 6.5*10^-4 m^2

    D = 5*10^-10 m^2/s

    ΔC = 5.2 x 10^-3 kg/m^3

    m = 5.7*10^-13 kg

    Solution:

    t = m*L / D*A*ΔC

    t = (5.7*10^-13) * (0.025) / (5*10^-10) * (6.5*10^-4) * (5.2 x 10^-3)

    t = 8.4319 sec.
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