Question

Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP. Take the diameter of an oxygen molecule to be 3 Å.

Answer 1

heya..

here is your answer..

Diameter of an oxygen molecule, d= 3Å

Radius, r = d /2 = 3/2 = 1.5 Å = 1.5 × 10-8 cm

Actual volume occupied by 1 mole of oxygen gas at STP = 22400 cm3

Molecular volume of oxygen gas, V  =  4/3 π r3 . N

Where, N is Avogadro's number = 6.023 × 1023 molecules/mole

∴  V  =  4/3 x 3.14 x (1.5 × 10-8 )3  x 6.023 × 1023

= 8.51 cm3

Ratio of the molecular volume to the actual volume of oxygen = 8.51 / 22400 =  3.8 × 10-4

it may help you..

Answer 2

Hey mate ^_^

Check this attachment

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