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The density of solid argon (Ar= 40 g//...

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 xx10^(-8) cm ` , what `%` of solid Ar is apparently empty space ?

A

35.64

B

64.36

C

74

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Volume of all atoms in 1.68 g of Ar
`=(1.68)/(40)xx6xx10^(23)xx(4)/(3)xx(22)/(7)xx(1.50xx10^(-8))^(3)=0.356`
% of empty space `=(1-0.3564)xx10=64.36`
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