Question

Given the atomic radius of xenon, 1.3 ?, and knowing that a sphere has a volume of 4?r3/3, calculate the fraction of space that Xe atoms occupy in a sample of xenon at STP.

Answer 1

R = 1.3 A° = 1.3 × 10^(-10) m
$v \: = \: \frac{4}{3} \pi {r}^{3}$
$v \: = \: \frac{4}{3} \times 3.1415 \times {(1.3 \times {10}^{ - 10} )}^{3}$
V = 9.20277208×10^(−30) m.