When a lead acid car battery is recharged by the alternator, it acts essentially as an electrolytic cell in which solid lead(II) sulfate PbS

Question

When a lead acid car battery is recharged by the alternator, it acts essentially as an electrolytic cell in which solid lead(II) sulfate PbSO4 is reduced to lead at the cathode and oxidized to solid lead(II) oxide PbO at the anode. Suppose a current of 17.0A is fed into a car battery for 15.0 seconds. Calculate the mass of lead deposited on the cathode of the battery. Be sure your answer has a unit symbol and the correct number of significant digits.

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Khang Minh 5 months 2021-08-15T13:31:02+00:00 1 Answers 4 views 0

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    2021-08-15T13:32:54+00:00

    Answer:

    0.273504 grams

    Explanation:

    Charge Deposited = Current ×Time

    q=It

    Given: I= 17.0A, t= 15.0 seconds

    Q= 17×15= 255 C

    Since, 1 mole contains 96500C of charge deposition

    Therefore, number of moles = 255/96500 = 0.00264 moles

    Moreover, since Pb changes to Pb2+,

    Hence number of moles of Pb deposited = 0.00264/2

    = 0.00132

    Also, Molar mass of Lead = 207.2 gm/mol

    Therefore, the mass of lead deposited = 0.00132×207.2 = 0.273504 grams

    .

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