Question

A diluted solution of sulphuric acid is electrolyzed 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 ______ cm³. (Nearest integer)

[Given: Faraday constant F = 96500 C mol^–1 at STP, molar volume of an ideal gas is 22.7 L mol^–1]

विकल्प

• 110

• 115

• 120

• 127

Answer 1

A diluted solution of sulphuric acid is electrolyzed 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 127 cm³.

Explanation:

Given: 2 F produces = `3/2` mole of gas

i = 0.10 A

T = 2h

Reaction at anode

\[\ce{2H2O -> O2(g) + 7H^+ + 4e^-}\]

At cathode: \[\ce{2H^+ + 2e^- -> H2(g)}\]

Number of equivalent = `("i" xx "t")/96500`

= 0.10 × 2 × 3600 coulomb produce

= `(3 xx 0.1 xx 2 xx 3600)/(2 xx 2 xx 96500)`

Volume of gas produced = 0.0056 × 22.7 L

= 0.127 L

= 127 mL