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Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP. Take the diameter of an oxygen molecules to be 3 Å |
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Answer» At S.T.P., actual volume occupied by 1 mole of oxygen is V = 22400 ml = 22400 cm3 Also, molecular volume, V' = 4/3 πR3N where R = D/2 = 3/2 Å = 3/2 x 10-8 = 1.5 x 10-8 cm and N = 6.023 x 1023 Hence, V' = 4/3 x 3.143 x (1.5 x 10-8)3 x 6.023 x 1023 = 8.52 cm3 Fraction of molecular volume to actual volume = V'/V = 8.52/22400 = 3.8 x 10-4 = 4 x 10-4 |
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