Suppose a current of 60. A flows through a copper wire for 22.0 minutes. Calculate how many moles of electrons travel through the wire. Be sure your answer has the correct unit symbol and the correct number of significant digits.

Respuesta :

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.