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Given, Diameter of an oxygen molecule, d = 3Å Radius, r = Actual volume occupied by 1 mole of oxygen gas at STP = 22400 cm 3 Molecular volume of oxygen gas, V = πr 3 N where, N is Avogadro’s number = 6.023 x 10 23 molecules/mole ∴ V = × 3.14 × (1.5 × 10 8 ) 3 × 6.023 × 10 23 = 8.51 cm 3 Ratio of the molecular volume to the actual volume of oxygen = = 3.8 × 10 -4 .

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 3Å.

Given,

Diameter of an oxygen molecule, d = 3Å

Radius, r =

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

πr³N
where,

N is Avogadro’s number = 6.023 x 10²³ molecules/mole

∴ V =

× 3.14 × (1.5 × 10⁸)³ × 6.023 × 10²³

= 8.51 cm³
Ratio of the molecular volume to the actual volume of oxygen =

= 3.8 × 10^-4.

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