Question

If $4\times 96500C$ charge is passed through an electrolytic cell of dil. $H_2{SO}_4$ the total volume of gases evolved will be ____ (collected at STP).

• A. $89.6L$
• B. $44.8L$
• C. $67.2L$
• D. $11.2L$

Answer 1

The correct option is A $89.6L$

Electrolysis of $H_{2}S{O}_4$ is given by following reaction

$2H^{+1}+2e^{-}⟶H_{2}2H_{2}O⟶O_2+2e^{-1}+4H^{+1}$

Above reaction states that 2 mole of electrons gives 1 mole of $O_2$ and $H_2$

Therefore, $4\times 96500C$ ($4F$) gives 4 mole of gas

Volume of 1 mole $=22.4$ L

Volume of 4 mole $=22.4\times 4=89.6$ L