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Class 11
Physics
Kinetic Theory
estimate the fraction of molecular volume to the a...

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 3Å.

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 )³x 6.023 × 10²³

= 8.51 cm³

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

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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 3Å.

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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 3Å.

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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 3Å.