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Estimate the fraction of molecular volum...

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`.

Text Solution

Verified by Experts

Here, diameter , `d=3Å, r = d/2 = 3/2 Å = 3/2 xx 10^(-8) cm`
Molecular volume , `V= 4/3 pi r^(3) .N`, where N is Avorgadro's number
`= 4/3 xx 22/7 (1.5 xx 10^(-8))^(3) xx (6.023 xx 10^(23)) = 8.52 c c. `
Actual volume occupied by 1 mole of oxygen at STP , V' = 22400 c c .
`V/(V') = 8.52/ 22400 = 3.8 xx 10^(-4) ~~ 4 xx 10^(-4)`.
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Knowledge Check

  • 1 L oxygen gas at STP will weigh

    A
    1.43 g
    B
    2.24 g
    C
    11.2 g
    D
    22.4 g

  • The diameter of an oxygen molecule is 3 Ã… The ratio of molecular volume to the actual volume occupied by the oxygen gas at STP is

    A
    `2xx10^(-4)`
    B
    `1xx10^(-4)`
    C
    `1.5xx10^(-4)`
    D
    `4xx10^(-4)`

  • The maximum volume at STP is occupied by

    A
    `12.8` gram `SO_(2)`
    B
    `0.5` mole of `NO_(2)`
    C
    `6.023xx10^(22) "molecules of" CH_(4)`
    D
    `1 "gram molecules of" CO_(2)`