Question: For a K + ?Cl ? ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according

For a K⁺?Cl^? ion pair, attractive and repulsive energies EA and ER, respectively, depend on the distance between the ions r, according to

11.436 E A 5.8 x 10-6 ER =

For these expressions, energies are expressed in electron volts per K⁺?Cl^? pair, and r is the distance in nanometers. The net energy E_N is just the sum of the two expressions above.

(a) Superimpose on a single plot E_N, E_R, and E_A versus r up to 1.0 nm.

(b) On the basis of this plot, determine (i) the equilibrium spacing r₀ between the K⁺ and Cl^? ions, and (ii) the magnitude of the bonding energy E₀ between the two ions.

(c) Mathematically determine the r₀ and E₀ values using the solutions to Problem 2.14 and compare these with the graphical results from part (b).

11.436 E A 5.8 x 10-6 ER =

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