In: Chemistry
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.
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