What mass of gold is produced when 24.4 a of current are passed through a gold solution for 46.0 min ?

To solve this problem, we make use of the Faraday’s law for Electrolysis. The formula is given as:

I t = m F / e

where the variables are,

I = current = 24.4 A

t = time = 46 min = 2760 s

m = mass produced = (unknown)

F = Faraday’s constant = 96500 C/equivalent

e = gram equivalent weight of gold

 

The gram equivalent weight is calculated by dividing the molar mass with the amount of charge produced per atom. Gold has charge of 3+ therefore the gram equivalent weight is:

e = (196.97 g/mol)(1 mol/3 equivalents) = 65.66 g/equivalents

 

Solving for the mass m:

m = e I t / F

m = (65.66 g) (24.4 A) (2760 s) / (96500 C)

m = 45.82 g

Each names a given number of objects

You use the atomic number to find out how many protons and neutrons there are in the atom. you use the atomic mass to find out how many protons and electrons there are in the atom.