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17 March, 23:10

What mass of gold is produced when 24.4 a of current are passed through a gold solution for 46.0 min?

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  1. 18 March, 03:02
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    To solve this problem, we make use of the Faraday’s law for Electrolysis. The formula is given as:

    I t = m F / e

    where the variables are,

    I = current = 24.4 A

    t = time = 46 min = 2760 s

    m = mass produced = (unknown)

    F = Faraday’s constant = 96500 C/equivalent

    e = gram equivalent weight of gold

    The gram equivalent weight is calculated by dividing the molar mass with the amount of charge produced per atom. Gold has charge of 3 + therefore the gram equivalent weight is:

    e = (196.97 g/mol) (1 mol/3 equivalents) = 65.66 g/equivalents

    Solving for the mass m:

    m = e I t / F

    m = (65.66 g) (24.4 A) (2760 s) / (96500 C)

    m = 45.82 g
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