The mass of magnesium metal produced when molten MgF₂ is electrolyzed by a current of 9.87 A for 13.1 hours is 57.9 g.
Electrolysis is the process of decomposition of a substance that when in its molten or solution form allows direct electric current to pass through and is decomposed by the direct electric current passing through it.
The mass of magnesium that is deposited by the electrolytic process is calculated below.
The equation of the decomposition of magnesium ions is given as follows:
Mg²⁺ (l) + 2e⁻ ---> Mg (s)
From the equation, 2 moles of electrons or 2 * 96500 C of charge are required to liberate 1 mole or 24 g of Mg.
Quantity of charge used = 9.87 * 13.1 hr * 3600s / 1 hr
Quantity of charge used = 465469.2 C
Mass of magnesium liberated = 465469.2 * 24 / 2 * 96500
Mass of magnesium liberated = 57.9 g of magnesium.
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