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JEE Main 202313 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
13 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2023 · 13 April · Morning Shift · Chemistry · Electrochemistry

A metal surface of 100 cm ^ 2 area has to be coated with nickel...

A metal surface of 100cm2100{cm}^{2} area has to be coated with nickel layer of thickness 0.001mm.0 . 001mm . A current of 2A2A was passed through a solution of Ni(NO3)2Ni{\left({NO}_{3}\right)}_{2} for ‘x’‘ x ’ seconds to coat the desired layer. The value of xx is _________. (Nearest integer)

(ρNiρNi (density of Nickel) is 10gmL–1,10g{mL}^{– 1},Molar mass of Nickel is 60gmol−1F=96500Cmol−160g{mol}^{- 1}F = 96500{Cmol}^{- 1})

Correct answer

0

Step-by-step solution

One equivalent of substance deposited for 96500C96500C(one Faraday).

i×ti \times t Columbus of charge can be utilised to get wgwg of substance.

Millimoles of NiNi coated

=(2x)10096500×2= \dfrac{( 2x ) 100}{96500 \times 2}

=10x965= \dfrac{10x}{965}

Mass of Ni=(x965)600Ni = \left(\dfrac{x}{965}\right)600

=600x965mg= \dfrac{600x}{965}mg

Volume=60x965×10−3cm3= \dfrac{60x}{965} \times {10}^{- 3}{cm}^{3}

=100×10−4= 100 \times {10}^{- 4}

⇒x=0.1608×103⇒ x = 0 . 1608 \times {10}^{3}

≈161\approx 161

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