JEE Main & Advanced Sample Paper JEE Main - Mock Test - 24

  • question_answer
    On passing I ampere of current for time t sec through 1 litre of \[2M\,CuS{{O}_{4}}\]solution (atomic weight of Cu = 63.5), the amount m of Cu (in g) deposited on cathode will be

    A) \[m=\frac{It}{(63.5\times 96500)}\]

    B) \[m=\frac{It}{(31.25\times 96500)}\]

    C) \[m=\frac{I\times 96500}{(31.25\times t)}\]

    D) \[m=\frac{31.75\times I\times t}{96500}\]

    Correct Answer: D

    Solution :

    [d]: According to Faraday's law of electrolysis \[m\propto It\]or \[m=ZIt\]where I = current, t = time \[Z=\frac{\text{Equivalent weight of substance}}{\text{96500}}\] Eq. wt. of \[Cu=\frac{63.5}{2}\] \[(\because C{{u}^{2+}}\to Cu)\] \[Z=\frac{63.5}{2\times 96500}\] \[\therefore \]\[m=\frac{63.5\times I\times t}{2\times 96500}=\frac{31.75\times I\times t}{96500}\]


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