NEET-XII-Physics

33: Thermal and Chemical Effects of Electric Current

with Solutions - page 5
Qstn# iv-21 Prvs-QstnNext-Qstn
  • #21
    A brass plate of surface area 200 cm2 on one side is electroplated with 0.10 mm thick silver layers on both sides using a 15 A current. Find the time taken to do the job. The specific gravity of silver is 10.5 and its atomic weight is 107.9 g mol-1.
    Ans : Given:
    Current, i = 15 A
    Surface area of the plate = 200 cm2,
    Thickness of silver deposited= 0.1 mm = 0.01 cm
    Volume of Ag deposited on one side = 200 × 0.01 cm3 = 2 cm3
    ∴ Volume of Ag deposited on both side = 4 cm3
    Mass of silver deposited,
    m = Volume × Specific gravity × 1000 = 4 × 10-3 × 10.5 ×1000 = 42 kg
    Using the formula, m = Zit, we get:
    42 = ZAg × 15 × t
    `` \Rightarrow t=\frac{42\times 96500}{107.9\times 15}\,\mathrm{\,s\,}``
    `` \Rightarrow t=2504.17\,\mathrm{\,s\,}=42\,\mathrm{\,minutes\,}``
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