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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 $F = 96500 C {mol}^{- 1}$ , molar volume of an ideal gas is $22.7 L {mol}^{- 1}$ ]

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Detailed Solution

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At anode
$2 H_{2} O \to O_{2} (g) + 4 H^{+} + 4 e^{-}$
At cathode
2H⁺ + 2e^– →H2(g)
Now number of gm eq. $= \frac{i \times t}{96500}$
$\begin{array}{l} = \frac{0 .1 \times 2 \times 60 \times 60}{96500} \\ = 0 .00746 \\ V_{O_{2}} = \frac{0 .00746}{4} \times 22 .7 = 0 .0423 \\ V_{H_{2}} = \frac{0 .00746}{2} \times 22 .7 = 0 .0846 \\ V_{Total} \approx 127 ml or cc \end{array}$

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