The density of solid argon (Ar = 40 g/mol) is 1.68 g/mL at 40 K. If the argon atom is assumed to be a sphere of radius 1.50 Å , what % of solid Ar is apparently empty space?
A
35.64
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B
64.36
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C
74
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D
none of these
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Solution
The correct option is B 64.36 Volume of all atoms in 1.68 g of Ar = 1.6840 x6 x1023 x4/3 x22/7 x(1.503 x10−24) = 0.3564 Vol. of solid Ar = 1 cm3 % Vol. of empty space = (1 - 0.3564) x100 = 64.36