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<u>Answer:</u> The mass of gallium produced by the electrolysis is 0.0354 grams.
<u>Explanation:</u>
The equation for the deposition of Ga(s) from Ga(III) solution follows:
- To calculate the total charge, we use the equation:
where,
C = charge
I = current = 0.490 A
t = time required (in seconds) = (Conversion factor: 1 min = 60 s)
Putting values in above equation, we get:
- To calculate the moles of electrons, we use the equation:
where,
C = charge = 147 C
F = Faradays constant = 96500
- Now, to calculate the moles of gallium, we use the equation:
where,
n = number of electrons transferred = 3
Putting values in above equation, we get:
- To calculate the mass of gallium, we use the equation:
Moles of Gallium =
Molar mass of Gallium = 69.72 g/mol
Putting values in above equation, we get:
Hence, the mass of gallium produced by the electrolysis is 0.0354 grams.