Question

How much time is required for the complete decomposition of 2 moles of water using a current of 2 ampere?

• A. 26.805 h
• B. 153.61 h
• C. 107.22 h
• D. None of these

Answer 1

Answer: (D)

None of these

Solution:- (D) none of these

$2H_{2}O⟶2H_2+O_2$

From the above reaction-

$1$ mole of $H_{2}O$ exchanges $2$ moles of electrons, then $2$ moles of $H_{2}O$ will exchange $4$ moles of electrons.

From Faraday's law of electrolysis,

$q=nF$

$\Rightarrow i\times t=nF(\because q=i\times t)$

$\Rightarrow t=\frac{nF}{i}=\frac{4\times 96500}{2}=193000s=53.61hr$

Hence the time required is $53.61$ hours.