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## Homework Statement

The electron drift speed in a 1.00 -mm-diameter gold wire is 5.50*10^-5 m/s

How long does it take 1 mole of electrons to flow through a cross section of the wire in a day?

## Homework Equations

i=n*A*v_d

N_e=i*delta(t)

## The Attempt at a Solution

First I figured out the electron current.

i=((5.9*10^28)*(.0005^2*pi)*(5.50*10^-5)

i=2.55*10^18 e-/sec

Since electron current is the amount of electrons per second I multiplied by 86,400s in a day:

N_e=(2.55*10^18)*(86400)

N_e=2.20*10^23

This gives me the number of electrons that pass through a cross sectional area. Since they are asking for 1 mole I divided by 6.02*10^23

(2.20*10^23)/(6.02*10^23)

=.366 days

This answer is wrong. I don't know what I'm doing wrong. Any help?