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Q. A solution of $Fe _{2}\left( SO _{4}\right)_{3}$ is electrolyzed for ' $x$ ' min with a current of $1.5$ A to deposit $0.3482 \,g$ of $Fe$. The value of $x$ is____ [nearest integer]
Given : $1 \,F =96500 \,C\, mol ^{-1}$
Atomic mass of $Fe =56 \,g\, mol ^{-1}$

JEE MainJEE Main 2022Electrochemistry

Solution:

$Fe ^{3+}+3 e ^{-} \longrightarrow Fe$
$3 F \longrightarrow 1$ mole $Fe$ is deposited
For $56\, g \longrightarrow 3 \times 96500$ (required charge)
For $1 \,g \longrightarrow \frac{3 \times 96500}{56}$ (required charge)
For $0.3482 \,g \longrightarrow \frac{3 \times 96500}{56} \times 0.3482$
$=1800.06$
$Q=$ it
$1800.06=1.5\, t$
$t =20 \min$