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  4. A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen gas. The total volume of gases produced at STP is cm 3. (Nearest integer) [Given: Faraday constant F =96500 C mol -1 at STP, molar volume of an ideal gas is .22.7 L mol -1]

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

JEE MainJEE Main 2022Electrochemistry

Solution:

At anode
$2 H _{2} O \rightarrow O _{2}( g )+4 H ^{+}+4 e ^{-}$
At cathode
$2 H ^{+}+2 e ^{-} \rightarrow H _{2}( g )$
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 127 ml \text { or } cc$