Given the atomic radius of xenon, 1.3 Å, and knowing that a sphere has a volume...

Given the atomic radius of xenon, 1.3 Å, and knowing that a sphere has a volume of 4πr3/3, calculate the fraction of space that Xe atoms occupy in a sample of xenon at STP.

Expert Solution

R = 1.3*10^-8 cm

V = 4/3πr3

= 4/3*(3.143*(1.3*10^-8)^3)

= 9.2*10^-24 cm^3

= 9.2*10^-27 L

V_total = V ×Av

9.2*10^-27*6.023*10^23 = 5.54116*10^-3 L

fraction of space that Xe atoms occupy in a sample of xenon at STP = 5.5411*10^-3/22.4

= 2.474 *10^-4

queen_honey_blossom answered 2 years ago

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