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Calculate the lattice energy of MgO (magnesium oxide) given that the ionic charges of Mg and O are +2 and -2, respectively, and the distance between the ions is 2.1 Å.

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To calculate the lattice energy of MgO, we can use the Born-Lande equation:Lattice energy  U  =  N * A *  1 - 1/n  * e^2 * |Z+| * |Z-|  /  4 * r Where:- N is the Avogadro's number  6.022 x 10^23 mol^-1 - A is the Madelung constant  for MgO, A  1.748 - n is the Born exponent  for MgO, n  9 - e is the elementary charge  1.602 x 10^-19 C - Z+ and Z- are the charges of the cations and anions, respectively  for MgO, Z+ = 2 and Z- = -2 -  is the vacuum permittivity  8.854 x 10^-12 C N^-1 m^-2 - r is the distance between the ions  2.1 , which is equivalent to 2.1 x 10^-10 m Now, we can plug in the values and calculate the lattice energy:U =  6.022 x 10^23 * 1.748 *  1 - 1/9  *  1.602 x 10^-19 ^2 * 2 * 2  /  4 * 8.854 x 10^-12 * 2.1 x 10^-10 U   6.022 x 10^23 * 1.748 *  8/9  *  2.566 x 10^-38  * 4  /  1.112 x 10^-10 U   1.052 x 10^-9  /  1.112 x 10^-10 U  9.46 x 10^3 J/molThe lattice energy of MgO is approximately 9,460 J/mol.

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