Stoichiometry: Calculations with Chemical Formulas and Equations

99) l = w = h = 1.000 cm          D = 10.49 g/cm³

      (a) D = M/V

            M = 10.49 g/cm³ * 1.000 cm * 1.000 cm * 1.000 cm = 10.49 g Ag

            n = 10.49 g Ag * 1 mol Ag/107.87 g Ag * 6.02 x 10²³ Ag atoms/1 mol Ag = 5.85 x 10²² Ag atoms

      (b) V% = V_Ag/V_cube * 100%

            V% = 0.74 * 1.000 cm³ = 0.74 cm³

            V_Ag = 0.74 cm³/(5.85 x 10²² Ag atoms) = 1.3 x 10^-23 cm³/Ag atom

      (c) V = 4/3 * 3.14 * r³

           1.3 x 10^-23 cm³ = 4/3 * 3.14 * r³

           r = 1.5 x 10^-8 cm * 1 m/10² cm * 1 Å/10^-10 m = 1.5 Å