The electron drift speed in a 2.00-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?

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The electron drift speed is $\"\"$ . \ \

The diameter of the gold wire is $\"\"$ .

Therefore, radius of the gold wire is $\"\"$ .

The electron current through the wire is $\"\"$ .

where, $\"\"$ is the number of free electrons per unit volume. \ \

$\"\"$ is the area of the gold wire. \ \

$\"\"$ is the Drift velocity. \ \

The number of free electrons in gold wire is $\"\"$ per unit volume.

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Electron current through the wire is $\"\"$ .

The time for 1 mole to pass through a cross section of wire is $\"\"$ .

$\"\"$ is the Avagadros number $\"\"$ .

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Convert seconds into days.

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The time for 1 mole to pass through a cross section of wire is $\"\"$ .