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Numerical Born-Lande Equation

The document provides a solution for calculating the lattice energy of NaCl using the Born-Lande equation. It includes specific values for constants and parameters, leading to the final calculation of the lattice energy, which is -756 KJmol-1. The process involves substituting known values into the equation to derive the result.

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1K views1 page

Numerical Born-Lande Equation

The document provides a solution for calculating the lattice energy of NaCl using the Born-Lande equation. It includes specific values for constants and parameters, leading to the final calculation of the lattice energy, which is -756 KJmol-1. The process involves substituting known values into the equation to derive the result.

Uploaded by

maryamsandhu769
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Example 2: Calculate the Lattice energy of NaCl by using Born-Lande equation.

Solution

From the given data


A = 1.74756
Z– = -1 (Charge on Cl– ion)
Z+ = +1 (Charge on Na+ ion)
NA = 6.022 × 1023 ion pairs mol-1

e = 1.60210 × 10-19 C (Charge on the electron)


π = 3.14159
εo = 8.854185 × 10-12 C2 J-1 m-1
ro = 116 + 167 = 283 pm (The sum of radii of Na+ and Cl–)
n = (7 + 9) /2 = 8 (The average of the values for Na+ and Cl–)

Using the Born-Lande equation.

Uo = - NA. A z+ z− e2 (1-1/n)
4πε0 r0
4πε0 = 1.112×10−10 C2/(J·m)

NA. e2 = 1.39 x 105 KJ.mole-1.pm


4πε0

By substituting the values in the equation

Uo = 1.39 x 105 x 1.74756 x 1 x 1 (1-1/8)


283
Uo = – 756 KJmol-1

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