Calculate the coulombic force of repulsion between nearest-neighbor o2- ions in cao. (note problems 2.15, 2.16, and 2.17.)

Respuesta :

Answer:

F = -1.604x10⁻⁸ N

Explanation:

The Coulomb force (F) of repulsion between nearest-neighbor O²⁻ ions in CaO can be calculated using the next equation:    

[tex] F = K frac{(Z_{Ca^{2+}})(Z_{O^{2-}})(e^{-})^{2}}{r^{2}} [/tex]

where K: is the coulomb's constant, Z: is the charge of the Ca²⁺ and O²⁻ ions, e⁻: is the electron's charge, and r: is the distance between the nuclei of the two ions.  

Having that:

  • [tex] r = r_{Ca^{2+}} + r_{O^{2-}} = 114 pm + 126 pm = 240 pm = 2.4\cdot 10^{-10} m [/tex]
  • Z Ca²⁺ = 2+
  • Z O²⁻ = 2-
  • e⁻ = 1.602x10⁻¹⁹ C
  • K = 9x10⁹ N*m²*C⁻²  

The Coulomb force (F) of repulsion is:

[tex] F = 9\cdot 10^{9} N*m^{2}*C^{-2} \frac{(2+)(2-)(1.602\cdot 10^{-19}C)^{2}}{(2.4\cdot 10^{-10} m)^{2}} = -1.604 \cdot 10^{-8} N [/tex]

Hence, the Coulomb force of repulsion between the two ions in CaO is -1.604x10⁻⁸ N.

I hope it helps you!

The repulsive force between the ions is 1.6 x 10⁻⁸ N.

Coulomb's force between the ions

The repulsive force between the ions is calculated by applying Coulomb's law as shown below;

[tex]F = \frac{kq_1q_2}{r^2}[/tex]

where;

  • k is Coulomb's constant
  • r is the distance between the ions (ca²⁺ and O²⁻) = 240 pm
  • q1 = 2(1.6 x 10⁻¹⁹ C)
  • q₂ = -2(1.6 x 10⁻¹⁹ C)

The magnitude of the repulsive force is calculated as follows;

[tex]F = \frac{9\times 10^9 \times (2\times 1.6\times 10^{-19})^2}{(240 \times 10^{-12})^2 } \\\\F = 1.6 \times 10^{-8} \ N[/tex]

Thus, the repulsive force between the ions is 1.6 x 10⁻⁸ N.

Learn more about Coulomb's law here: https://brainly.com/question/24743340