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Calculate the lattice energy of calcium fluoride (CaF2) given the following information: the ionic radii of Ca and F are 100 pm and 133 pm, respectively, the lattice energy of NaCl is 788 kJ/mol, and the Born-Lande equation constant is 2.56.

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To calculate the lattice energy of calcium fluoride  CaF2 , we can use the Born-Lande equation:Lattice energy  U  = N * A *  1 - 1/n  *  z+ * z-  * e^2 /  4 *  * 0 * r0 where:N = Avogadro's number  6.022 x 10^23 mol^-1 A = Born-Lande equation constant  2.56 n = Born exponent  we can assume n = 9 for most ionic compounds z+ = charge of the cation  Ca2+ = +2 z- = charge of the anion  F- = -1 e = elementary charge  1.602 x 10^-19 C 0 = vacuum permittivity  8.854 x 10^-12 C/Jm r0 = sum of the ionic radii  100 pm + 133 pm = 233 pm = 2.33 x 10^-10 m Now, we can plug in the values into the equation:U =  6.022 x 10^23 mol^-1  *  2.56  *  1 - 1/9  *  2 * 1  *  1.602 x 10^-19 C ^2 /  4 *  *  8.854 x 10^-12 C/Jm  *  2.33 x 10^-10 m  U =  6.022 x 10^23 mol^-1  *  2.56  *  8/9  *  2  *  2.56 x 10^-38 C  /  4 *  *  8.854 x 10^-12 C/Jm  *  2.33 x 10^-10 m  U =  6.022 x 10^23 mol^-1  *  2.56  *  8/9  *  2  *  2.56 x 10^-38 C  /  2.93 x 10^-20 Jm U = 2.63 x 10^6 J/molSince we want the lattice energy in kJ/mol, we can convert it:U = 2.63 x 10^6 J/mol *  1 kJ / 1000 J  = 2630 kJ/molSo, the lattice energy of calcium fluoride  CaF2  is approximately 2630 kJ/mol.

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