A layer of chromium metal 0.25 mm thick is to be plated on a auto bumper with a total area of 0.32 M³ from a solution containing $C r O_{4}^{- 2}$ ? What current flow is required for this electro plate if the bumper is to be plated in 60 sec the density of chromium metal is 7.20 g/cc

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$5 .3 \times 10^{4} A$

$4 .9 \times 10^{3} A$

$1 .78 \times 10^{3} A$

$10 .69 \times 10^{4} A$

answer is D.

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Detailed Solution

$\begin{array}{l} w = dXV = 7 .2 \times 0 .025 \times 0 .32 \times 100 \times 100 = 576 gm \\ C^{+ 6} {rO}_{4}^{- 2} \overset{6 F}{⟶} C r^{0} 6 \times 96, 500 C - 52 gm of Cr \\ c \times 60 \times 52 = 6 \times 96, 500 \times 576 \\ c = \frac{6 \times 96, 500 \times 576}{60 \times 52} = 10 .69 \times 10^{4} A \end{array}$