How many conduction electrons are there in a 1.50 mm diameter gold wire that is 20.0 cm long?

Question

How many conduction electrons are there in a 1.50 mmmm diameter gold wire that is 20.0 cmcm long?

Answer 1

The diameter of gold wire is 1.50 mm.

Therefore, the radius of gold wire is .

The length of the wire is .

Find the volume of the wire.

Volume of the wire is , where is the area of the wire and is the length of the wire.

Volume of the wire is

Find the number of conduction electrons.

Number of conduction electrons is , where is the number of free electrons and is the volume.

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

There are conduction electrons.