Question

The time required to produce 0.2 mol of H2(g) using
a current of 2 ampere by the electrolysis of aqueous
sodium chloride is
(1) 424.51 minutes
(2) 385.28 minutes
(3) 321.66 minutes
(4) 495.97 minutes​

Answer 1

we have to find the time required to produce 0.2 mol of H₂ (g) using a current of 2 Ampere by the electrolysis of aqueous sodium chloride.

solution : chemical reaction of producing H₂ (g) is given as, 2H⁺ + 2e¯ ⇔H₂ (g)

here To produce one mole of H₂ gas, two moles of electrons is required.

so, for 0.2 mole of H₂ gas, 0.4 mole of electrons will be required.

now charges of 0.4 moles of electrons = 0.4 × 6.023 × 10²³ × 1.6 × 10^-19 C

= 3.85472 × 10⁴ C

now using formula,

current = charge / time

⇒2 A = 3.85472 × 10⁴C/time

⇒time = 3.85472/2 × 10⁴ sec

= 19273.6/60 minutes

= 321.27 minutes

Therefore the time required to produce 0.2 mol of H₂ gas is 321.27 minutes.

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