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A current of 13.0 A is passed through molten magnesium chloride for 16.0 h. How many moles of magnesium metal could be produced via this electrolysis

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Answer:

Moles of magnesium produced via this electrolysis is 3.8798 moles.

Step-by-step explanation:

we know that the relation between current and charge is given by

I=Q/t

where

I=Current consumed

Q=amount of charge produced

t=time

Given,

amount of current passed (I)=13A

Total time (t)= 16 h

moles of magnesium=?

we know the electrolysis equation of magnesium chloride'

Mg+2 + 2e- -------> Mg

which says that, 2 coloumbs of charge required to produce 1 mole of magnesium.

we can caluclate the charge produced from the given data using the relation I=Q/t

13A=Q/16*60*60

Q=748,800 coloumbs

=748,800/96500 F (1F=96500C)

Q=7.76 F

from the electrolysis equation, 2F charge produces 1 mole of magnesium.Similarly,

moles of magnesium produced by 7.76F charge =7.76/2=3.387 moles

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