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% = VAg/Vcube * 100%

            V% = 0.74 * 1.000 cm3 = 0.74 cm3

            VAg = 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