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Home » 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 A.
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 A.
CBSE | Class 11 | Kinetic Theory | NCERT | Physics
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 A.

Diameter of an oxygen molecule is given as d=3 \AA

Radius will be, r=d / 2

r=3 / 2=1.5 \AA=1.5 \times 10^{-8} \mathrm{~cm}

Actual volume occupied by 1 mole of oxygen gas at STP is given as =22400 \mathrm{~cm}^{3}

Molecular volume of oxygen gas is given as V=4 / 3 \mathrm{mr}^{3} \cdot \mathrm{N}

Where, \mathrm{N} is Avogadro’s number =6.023 \times 10^{23} molecules/ mole

So,

V=4 / 3 \times 3.14 \times\left(1.5 \times 10^{-8}\right)^{3} \times 6.023 \times 10^{23}

Now,

V=8.51 \mathrm{~cm}^{3}

As a result, the ratio of the molecular volume to the actual volume of oxygen is 8.51 / 22400=3.8 \times 10^{-4}

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