Answer: 0.821 moles
Explanation:
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]
To calculate the charge passed, we use the equation:
[tex]I=\frac{q}{t}[/tex]
where,
I = current passed = 60 A
q = total charge = ?
t = time required = 22.0 minutes =[tex]22.0\times 60=1320sec[/tex]
Putting values in above equation, we get:
[tex]60A=\frac{q}{1320}\\\\q={60A}\times {1320s}=79200C[/tex]
As 96500 C contains = 1 mole of electrons
79200 C contains = [tex]\frac{1}{96500}\times 79200 =0.821[/tex] mole of electrons
Thus 0.821 moles of electrons travel through the wire.