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JEE Main 20188 April
Exam
JEE Main
Year
2018
Date
8 April
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2018 · 8 April · Chemistry · Electrochemistry

How long (approximate) should water be electrolysed by passing...

How long (approximate) should water be electrolysed by passing through 100100amperesamperescurrent so that the oxygen released can completely burn 27.66g27 . 66g of diborane? (Atomic weight of B=10.8uB = 10 . 8u)

Options

  1. A1.6hours1 . 6hours
  2. B6.4hours6 . 4hours
  3. C0.8hours0 . 8hours
  4. D3.2hours3 . 2hours

Correct answer

D. 3.2hours3 . 2hours

Step-by-step solution

B2H6+3O2→B2O3+3H2O{B}_{2}{H}_{6} + 3{O}_{2} \to {B}_{2}{O}_{3} + 3{H}_{2}O
According to balanced equation
27.66 g B2H6{B}_{2}{H}_{6} i.e. 1 mole B2H6{B}_{2}{H}_{6} requires 3 mole of O2{O}_{2} . Now this oxygen is produced by electrolysis of water as follows
2H2O→4F2H2+O22{H}_{2}O\overset{4F}{\to}2{H}_{2} + {O}_{2}
As 1 mole O2{O}_{2} is produced by 4 F charge
So 3 mole O2{O}_{2} will be produced by 12 F charge
So now on applying
Q = It
12×96500C=100×t(s)\text{12} \times \text{965}00C = 100 \times t ( s )
t=12×96500100×3600t = \dfrac{12 \times 96500}{100 \times 3600} hours
t=3.2t = 3.2 hours
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