Answer:
D) 5.36 hours
Explanation:
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]
Also, copper will produce 2 electrons. So, out of 5 moles of copper, 10 moles of electrons will be produced.
So,
Charge on 10 mole of electrons = [tex]10\times 1.6\times 10^{-19}\times 6.022\times 10^{23}=9.6352\times 10^5C[/tex]
To calculate the time required, we use the equation:
[tex]I=\frac{q}{t}[/tex]
where,
I = current passed = 50.0 A
q = total charge = [tex]9.6352\times 10^5C[/tex]
t = time required = ?
Putting values in above equation, we get:
[tex]50.0A=\frac{9.6352\times 10^5C}{t}\\\\t=\frac{9.6352\times 10^5C}{50.0A}=19270.4s[/tex]
Converting this into hours, we use the conversion factor:
1 hr = 3600 seconds
So, [tex]19270.4s\times \frac{1hr}{3600s}=5.36hr[/tex]
Hence, the amount of time needed is 5.36 hrs.
