A metal surface of area has to be coated with a nickel layer of thickness 0.001 mm. A current of 2 A was passed through a solution of for seconds to coat the desired layer. The value of is ________. (Nearest integer). ( (density of Nickel) is )

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Solution

Q.
A metal surface of ${100 cm}^{2}$ area has to be coated with a nickel layer of thickness 0.001 mm. A current of 2 A was passed through a solution of $Ni {({NO}_{3})}_{2}$ for $' x'$ seconds to coat the desired layer. The value of $x$ is ________. (Nearest integer).

( $ρ_{Ni}$ (density of Nickel) is $10 {g mL}^{- 1},$ $Molar mass of Nickel is 60 {g mol}^{- 1} F = 96500 {C mol}^{- 1}$ ) [2023]

Ans.
(161)

$Mass of Ni deposited = [A \times thickness] \times density$

$= [100 \times 10^{- 4}] \times 10$

$= 0.1 gram .$

$w = Z it$

$0.1 = (\frac{E}{96500}) \times i \times t$

$0.1 = (\frac{60}{2 \times 96500}) \times 2 \times t (v . f = 2)$

$t = 161 sec$

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