Calculate the electrostatic part of the lattice energy of sodium chloride, given that the inter-nuclear separation between and ions, is m and its Madelung constant is
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The electrostatic attractive energy for 1 mole of an ionic crystal is given by E = − 4 π ϵ o R o 2 N o M z + z − e 2
Where N o denotes the Avogadro constant which is equal to 6 . 0 2 3 × 1 0 2 3 , M denotes the Madelung's constant , which depends on the geometry of the crystal, z + and z − denotes the charges on cations and anions respectively , e denotes the electronic charge which is 1 . 6 × 1 0 − 1 9 coulombs and finally R o is the internuclear separation between the ions.
Plugging in all the values gives the answer as ≈ 6 7 4 kJ mol − 1 .