An iron wire has a cross-sectional area equal to 1.20 10-5 m2. Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 34.0 A.

(a) How many kilograms are there in 1.00 mole of iron?
1 kg/mol

(b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter).
2 mol/m3

(c) Calculate the number density of iron atoms using Avogadro's number.
3 atoms/m3

(d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.
4 electrons/m3

(e) Calculate the drift speed of conduction electrons in this wire.
5 m/s

They are trying to take you through the steps of computing the drift speed of elctrons in a wire. You should make an effort to follow the steps.

(a) The atomic weight of iron is 55.9, so there are that many grams per mole. How many kg is that? 5.59*10^-2 kg/mol
(b) They expect you to look up the density of iron and use that and the part (a) answer to compute the number of moles per m^3.

___kg/m^3/5.59*10^-2 kg/mole = ___ mole/m^3
(c) Multiplying by Avogadro's number will give you the number of Fe atoms per m^3.

(d) Multiply that by 2 for the free electron number desnity, Ne

(e) Ne*drift speed*(wire area)*e = 34 Coulombs/s
(e is the elctron charge)
Solve for the electron drift speed. it will be rather slow

Fill in the blanks.

221.224

To determine the drift speed of the conduction electrons in the wire, follow these steps:

(a) Calculate the mass of 1.00 mole of iron:
To do this, you need to know the molar mass of iron (Fe), which is 55.845 g/mol.
1 mole of iron = 55.845 g
Convert grams to kilograms:
1 kg = 1000 g
1 mole of iron = 55.845/1000 kg
1 mole of iron = 0.055845 kg

(b) Compute the molar density of iron:
The molar density of iron is the number of moles of iron per cubic meter (mol/m^3).
To calculate it, we need to know the density of iron (ρ), which is 7874 kg/m^3.
Divide the density of iron by the molar mass of iron:
Molar density = (ρ / Molar mass of iron)
Molar density = (7874 kg/m^3) / (0.055845 kg/mol)

(c) Calculate the number density of iron atoms:
The number density of iron atoms is obtained using Avogadro's number (NA = 6.02214 × 10^23 atoms/mol).
Number density of iron atoms = (Molar density of iron) * (Avogadro's number)
Number density of iron atoms = (Molar density) * (NA)

(d) Obtain the number density of conduction electrons:
Given that there are two conduction electrons per iron atom, multiply the number density of iron atoms by two:
Number density of conduction electrons = 2 * (Number density of iron atoms)

(e) Calculate the drift speed of the conduction electrons:
The drift speed (vd) of conduction electrons can be calculated using the formula:
vd = (I / (n * A * q * e))
where I is the current (34.0 A), n is the number density of conduction electrons, A is the cross-sectional area of the wire (1.20 × 10^-5 m^2),
q is the charge of an electron (1.6 × 10^-19 C), and e is the electronic charge (1.6 × 10^-19 C).

Substitute the given values and solve for vd.

Note: In these calculations, make sure the units are consistent throughout.

I hope this helps!

To determine the drift speed of the conduction electrons in the iron wire, you need to follow these steps:

(a) Calculate the mass of one mole of iron:
To find the mass of one mole of iron, you need to know the molar mass of iron, which is given as 1 kg/mol.

(b) Compute the molar density of iron:
The molar density of iron is the number of moles of iron per cubic meter. You can calculate it using the density of iron and the result from part (a). The density of iron can be found from reference materials or online sources.

(c) Calculate the number density of iron atoms:
The number density of iron atoms is determined using Avogadro's number, which is approximately 6.022 × 10^23 atoms/mol. Multiply the molar density from part (b) by Avogadro's number to obtain the number of iron atoms per cubic meter.

(d) Obtain the number density of conduction electrons:
Since there are two conduction electrons per iron atom, you can calculate the number density of conduction electrons by multiplying the number density of iron atoms from part (c) by 2.

(e) Calculate the drift speed of conduction electrons:
The drift speed of conduction electrons can be determined using the equation: drift speed = current / (charge × number density of conduction electrons × cross-sectional area).
Substitute the given values: current = 34.0 A, cross-sectional area = 1.20 × 10^-5 m^2, and the number density of conduction electrons from part (d).