Question

A dilute solution of sulphuric acid is electrolysed using a current of $0.10A$ for $2$ hours to produce hydrogen and oxygen gas. The total volume of gases produced at STP is _______$c{m}^3$. (Nearest integer) [Given : Faraday constant $F=96500C$ $mo{l}^{-1}$ at STP, molar volume of an ideal gas is $22.7Lmo{l}^{-1}]$

Answer 1

Answer: 127

At anode
$2H_{2}O\to O_2(g)+4H^{+}+4e^{-}$
At cathode
$2H^{+}+2e^{-}\to H_2(g)$
Now number of gm eq. $=\frac{i\times t}{96500}$
$=\frac{0.1\times 2\times 60\times 60}{96500}$
$=0.00746$
$V_{O_2}=\frac{0.00746}{4}\times 22.7=0.0423$
$V_{H_2}=\frac{0.00746}{2}\times 22.7=0.0846$
$V_{\text{Total }}\approx 127ml\text{ or }cc$