The mass of 1 mole of iron is 0.056 kg/mol; molar density of iron is 139285.71 mol/m³; number density of iron is 4.33 * 10¹⁸ atom/m³; number density of conduction electrons is 8.66 * 10¹⁸ electrons/m³; drift velocity of electrons, v is 6.2 * 10⁶ m/s.
What is the mass of 1 mole of iron in kg?
The mass of 1 mole of iron is 56 g/mol
Mass in kg/mol = 56 gmol * 1 kg/1000 g
Mass in kg/mol = 0.056 kg/mol
- Molar density of iron = density of iron/molar mass of iron
Density of iron = 7800 kg/m³
Molar density of iron = 7800 kg/m³ / 0.056 kg/mol
Molar density of iron = 139285.71 mol/m³
Number density of iron = (6.02 * 10²³ atom/mol)/(139285.71 mol/m³)
Number density of iron = 4.33 * 10¹⁸ atom/m³
Number density of conduction electrons = 4.33 * 10¹⁸ atom/m³ * 2 electrons/atom
Number density of conduction electrons = 8.66 * 10¹⁸ electrons/m³
- Drift velocity of electrons, v = I/nAQ
Where,
- I is the current flowing through the conductor
- n is the number of electrons
- A is the area of the cross-section of the conductor in m²
- v is the drift velocity of the electrons
- Q is the charge of an electron = 1.6 × 10⁻¹⁹ Coulombs
Drift velocity of electrons, v = 31.0/(8.66 * 10¹⁸ * 3.6 * 10⁻⁶ * 1.6 × 10⁻¹⁹ )
Drift velocity of electrons, v = 6.2 * 10⁶ m/s
Therefore, the mass of 1 mole of iron is 0.056 kg/mol; molar density of iron is 139285.71 mol/m³; number density of iron is 4.33 * 10¹⁸ atom/m³; number density of conduction electrons is 8.66 * 10¹⁸ electrons/m³; Drift velocity of electrons, v is 6.2 * 10⁶ m/s.
Learn more about drift velocity of electrons at: https://brainly.com/question/22406248
#SPJ1
