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8g of oxygen, 14 g of nitrogen and 22 g ...

8g of oxygen, 14 g of nitrogen and 22 g carbon dioxide are mixed in an encloser of volume 10 litre and temperature `27^(@)C`. Calculate the pressure exerted by the mixture , `R= 8.3 J "mole"^(-1)K^(-1)`, Molecular weight of oxygen , nitrogen and carbon 32 , 28 and 44 respectively.

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The correct Answer is:
3
Since `PV = nRT = (m)/(M) RT` we have
`P = (RT)/(V) [(m_(1))/(M_(1)) + (m_(2))/(M_(2)) + (m_(3))/(m_(3))]`
Where `m's` are mass of given and `M` is its molecular mass
`P = (8.3 xx 300)/(10 xx 10^(-3)) [(8)/(32) + (14)/(28) + (22)/(44)]`
`= 3.11 xx 10^(5) N//m^(2)`
In `10^(5) N//m^(3), P = 3`
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Knowledge Check

  • 16 gram of oxygen, 14 gram of nitrogen and 11 gram of carbon dioxide are mixed in an enclosure of volume 5 L and temperature 27^(@)C. The pressure exerted by the mixture is

    A
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    `4 xx 10^(5) N//m^(2)`

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    A
    `1` atmosphere
    B
    `3` atmosphere
    C
    `9` atmosphere
    D
    `8.3` atmosphere

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