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Spacing of Atoms in a Sodium Chloride Crystal

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The crystal lattice of sodium chloride has ions of sodium (Na+) and ions of chlorine (Cl-) arranged alternately in a simple cubic array. Thus the crystal volume per ion is d^3, where d is the distance between the centers of adjacent ions. The molecular weight of NaCl is 58.45 and its density is 2.164 g/cm^3.
a) Calculate the volume of 1 mole of crystalline NaCl.
b) Using the fact that 1 mole of NaCl contains Avogadro's number N of sodium ions and N chloride ions, calculate the spacing d of the ions in the lattice. Compare your results with the handbook value of 2.82 A.

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Solution Summary

In this solution we calculate the molar volume and lattice spacing of sodium chloride (table salt).

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We are given that table salt (NaCl) has molecular weight M = 58.45 ...

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