a) Briefly explain the physical processes that lead to an equilibrium value for the volume V of a solid. b) Potassium chloride is an ionic salt, whose internal energy per mole is well-modelled by the function aN₁Q+Q™ Απερ +6Be-r/ro, where a is the Madelung constant for this material, Q are the electric charges of the potassium (K+) and chloride (Cl-) ions, N₁ is Avogrado's number, r the closest distance between oppositely charged ions, and to the permittivity of free space. We have introduced the constants B and ro. €0 U(r) = Explain the physical origin of the two terms in this equation.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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a) Briefly explain the physical processes that lead to an equilibrium value for the volume V of
a solid.
b)
Potassium chloride is an ionic salt, whose internal energy per mole is well-modelled by the
function
aN₁Q+Q™
4π€0 r
+6Be-r/ro
where a is the Madelung constant for this material, Q are the electric charges of the
potassium (K+) and chloride (Cl-) ions, N₁ is Avogrado's number, r the closest distance
between oppositely charged ions, and the permittivity of free space. We have introduced
the constants B and ro.
U(r)
=
Explain the physical origin of the two terms in this equation.
U = -
c) By assuming that potassium chloride has the same structure as sodium chloride, explain
why the internal energy per mole may be written in terms of the volume V as
-1/3
aNte² (2NA)
(2N₁)
4π€0
+6B exp
1
[]
To 2NA
Transcribed Image Text:a) Briefly explain the physical processes that lead to an equilibrium value for the volume V of a solid. b) Potassium chloride is an ionic salt, whose internal energy per mole is well-modelled by the function aN₁Q+Q™ 4π€0 r +6Be-r/ro where a is the Madelung constant for this material, Q are the electric charges of the potassium (K+) and chloride (Cl-) ions, N₁ is Avogrado's number, r the closest distance between oppositely charged ions, and the permittivity of free space. We have introduced the constants B and ro. U(r) = Explain the physical origin of the two terms in this equation. U = - c) By assuming that potassium chloride has the same structure as sodium chloride, explain why the internal energy per mole may be written in terms of the volume V as -1/3 aNte² (2NA) (2N₁) 4π€0 +6B exp 1 [] To 2NA
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