13.1 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.

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Payal Gupta | Contributor-Level 10

9 months ago

13.1 Diameter of the oxygen molecule, d = 3Å

Radius, r = $\frac{d}{2}$ = 1.5 Å = 1.5 $* 10^{- 8}$ cm

Actual volume occupied by 1 mole of oxygen gas at STP = 22.4 lit = 22400 ${c m}^{3}$

Molecular volume of oxygen gas, V = $\frac{4}{3} ? r^{3}$ N,

where N = Avogadro's number = 6.023 $* 10^{23}$ molecules/mole

Therefore, V = $\frac{4}{3}$ $* 3.1416 * ({1.5 * 10^{- 8})}^{3}$ $*$ 6.023 $* 10^{23}$ = 8.51 ${c m}^{3}$

Ratio of the molecular volume

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physics ncert solutions class 11th 2023

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