when titanium chloride was electrolysed by passing 0.12.A current through the solution for 500 seconds,0.015g of titanium was deposited. what is the charge on the titanium ion? (IF=96500 C,Ti=48.0)?
RichieSantos
17 Oct, 2024
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Given data:
Current (I) = 0.12 A
Time (t) = 500 seconds
Mass of titanium deposited (m) = 0.015 g
Faraday's constant (F) = 96500 C
Molar mass of titanium = 48.0 g per mol
Steps to find the charge on the titanium ion:
1. Calculate the total charge (Q):
Q = I multiplied by t
Q = 0.12 A multiplied by 500 seconds
Q = 60 C
2. Calculate the number of moles of titanium deposited:
Number of moles = mass divided by molar mass
Number of moles = 0.015 g divided by 48.0 g per mol
Number of moles = 0.0003125 mol
3. Calculate the charge required to deposit the titanium:
Charge (Q) = Number of moles multiplied by Faraday's constant
Charge = 0.0003125 mol multiplied by 96500 C per mol
Charge = 30.15625 C
4. Determine the number of moles of titanium ions deposited:
Set the total charge equal to the product of the number of moles, charge on the titanium ion (z), and Faraday's constant:
60 C = Number of moles multiplied by z multiplied by Faraday's constant
5. Solve for z:
z = 60 C divided by (0.0003125 mol multiplied by 96500 C per mol)
z = 60 divided by 30.15625
z = 1.987, which is approximately 2
:
The charge on the titanium ion is approximately 2.
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