Answer : It takes time to produce 3 g of aluminium is, 165 seconds.
Explanation :
As we are given that the mass of aluminium is, 3 grams. Now we have to calculate the total mass of aluminum.
Total mass of aluminum = 3g × 24 = 72 g
Now we have to calculate the moles of aluminum.
[tex]\text{Moles of Al}=\frac{\text{Mass of Al}}{\text{Molar mass of Al}}[/tex]
Molar mass of Al = 27 g/mol
[tex]\text{Moles of Al}=\frac{72g}{27g/mol}=2.67mol[/tex]
As, 1 mole of Al has 3 Faradays
So, 2.67 mole of Al has = [tex]2.67\times 3=80.1[/tex] Faradays
and,
Charge = [tex]80.1\text{ Faradays}\times \frac{96500\text{ coulombs}}{1\text{ Faradays}}=7.73\times 10^6\text{ coulombs}[/tex]
Current = [tex]5.00\times 10^4A\times \frac{93.9}{100}=46950A[/tex]
Now we have to calculate the time.
[tex]Time=\frac{Charge}{Current}=\frac{7.73\times 10^6}{46950}=164.6s\aaprox 165s[/tex]
Hence, it takes time to produce 3 g of aluminium is, 165 seconds.
