Question

Calculate the magnitude of the current in amperes if the number of moles of hydrogen gas produced is 5.13×10−4 mol (from part A).

Answer 1

Answer:

1.65 A

Explanation:

The hydrogen gas dissociates following the equation:

H₂(g) → 2H⁺ + 2e⁻

So, for 1 mol of H₂, 2 moles of electrons are given. The current is formed because of the presence of the electrons. Thus, the number of moles of electrons is the double of the moles of hydrogen gas: 1.026x10⁻³ mol.

By the Faraday law, 1 mol of electrons produces 96500 C of charge, thus:

1 mol --------------- 96500 C

1.026x10⁻³ mol ---- x

By a simple direct three rule:

x = 99.009 C

The current is the charge divided by the time. So, for 1 min = 60 s,

i = 99.009/60

i = 1.65 A