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Sodium chloride has a density of 2.17 g/cm3. What is the closest Na+...Cl- separation? Be sure...

Sodium chloride has a density of 2.17 g/cm3. What is the closest Na+...Cl- separation? Be sure your answer is given in picometers.

Solutions

Expert Solution

density = 2.17 g/cm^3

density = Z M / N a^3

2.17 = 4 x 58.5 / (6.023 x 10^23 x a^3)

a^3 = 1.790 x 10^-22

a = 5.64 x 10^-8 cm

closest Na+...Cl- separation = a / sqrt(2)

                                            = 5.64 x 10^-8 / sqrt(2)

                                            = 3.98 x 10^-8 cm

                                            = 398 pm


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