Respuesta :
Answer: The amount of time needed to plate 14.0 kg of copper onto the cathode is 295 hours
Explanation:
We are given:
Moles of electron = 1 mole
According to mole concept:
1 mole of an atom contains [tex]6.022\times 10^{23}[/tex] number of particles.
We know that:
Charge on 1 electron = [tex]1.6\times 10^{-19}C[/tex]
Charge on 1 mole of electrons = [tex]1.6\times 10^{-19}\times 6.022\times 10^{23}=96500C[/tex]
[tex]Cu^{2+}+2e^-\rightarrow Cu[/tex]
[tex]2\times 96500=193000C[/tex] is passed to deposit = 1 mole of copper
63.5 g of copper is deposited by = 193000 C
[tex]14\times 1000g=14000g[/tex] of copper is deposited by =[tex]\frac{193000}{63.5}\times 14000=42551181 C[/tex]
To calculate the time required, we use the equation:
[tex]I=\frac{q}{t}[/tex]
where,
I = current passed = 40.0 A
q = total charge = 42551181 C
t = time required = ?
Putting values in above equation, we get:
[tex]40.0=\frac{42551181 C}{t}\\\\t=1063779sec[/tex]
Converting this into hours, we use the conversion factor:
1 hr = 3600 seconds
So, [tex]1063779s\times \frac{1hr}{3600s}=295hr[/tex]
Hence, the amount of time needed to plate 14.0 kg of copper onto the cathode is 295 hours
