How many atoms are in a drop of mercury that has a diameter of 1.0 mm? (Volume of a sphere is 4πr³/3; density of mercury = 13.6 g/cm³) A)2.1 × 10 ¹⁹ B)1.7 × 10 ²⁰ C)2.1 × 10 ²² D)1.7 × 10 ²³ E)None of these choices are correct.

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Quizplus · Accepted Answer

The volume of the drop is (4/3)π(0.05 cm)3 = 5.24 × 10-3 cm3. The mass of the drop is (5.24 × 10-3 cm3)(13.6 g/cm3) = 0.71 g. The number of atoms in the drop is (0.71 g)(6.02 × 1023 atoms/mol)/(200.59 g/mol) = 2.1 × 1019 atoms.

How Many Atoms Are in a Drop of Mercury That