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AIIMS 201826 May

Exam: AIIMS
Year: 2018
Date: 26 May
Subject: Chemistry
Chapter: Electrochemistry

AIIMS 2018 · 26 May · Chemistry · Electrochemistry

Time taken to completely decompose 36 ~g of water by passing 3 ~A...

Time taken to completely decompose

36 \mathrm{~g}

of water by passing

3 \mathrm{~A}

current is

Options

A $35.8 \mathrm{hr}$
B $40 \mathrm{hr}$
C $51.8 \mathrm{hr}$
D $22.5 \mathrm{hr}$

Correct answer

A. $35.8 \mathrm{hr}$

Step-by-step solution

2 \mathrm{H}_2 \mathrm{O} \longrightarrow 2 \mathrm{H}_2+\mathrm{O}_2 36 \mathrm{~g}

2 moles of

\mathrm{H}_2 \mathrm{O} \equiv 4

moles of

e^{-} \mathrm{s} 4 \mathrm{~F}

of charge is required for complete decomposition. Now,

Q=I \times t

\begin{aligned} \therefore \quad t=\frac{Q}{I}=\frac{4 \times 96500}{3} & =128666 \mathrm{sec} \\ & =\frac{128666}{3600}=35.8 \mathrm{hr}\end{aligned}

$$

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