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A layer of chromium metal 0.25 mm thick is to be plated on an auto bumper with a total area of 0.32 m² from a solution containing ${CrO}_{4}^{2 -}$ ? What current flow is required for this electroplate if the bumper is to be plated in 60s? The density of chromium metal is7.20g/cm³

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$4.9 X 10^{3} A$

$1.78 X 10^{3} A$

$5.3 X 10^{4} A$

$10.69 X 10^{4} A$

answer is D.

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Detailed Solution

$d = \frac{w}{v}$

$V = 0.25 mm X (0.321 x 10^{6})$

$= 0.08 X 10^{4}$

$W = d X V = 7.2 X 8 X 10^{4}$

$= 57.6 X 10^{4}$

$m = \frac{E}{96500} X i X 60$

$57.6 X 10^{4} = \frac{52}{6 X 96500} X i X 60$

$i = \frac{576 X 10^{4} X 96500}{52 X 10}$

$= 10.689.2 X 10^{4}$

$= 10.689 X 10^{7}$

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