1.

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

Answer» Correct Answer - D
Here, diameter,d `=3Ã…`
`thereforer=d/2=3/2xx10^(-10)m=3/2xx10^(-8)cm=1.5xx10^(-8)cm`
Molecular volume of oxytgen gas, `V=4/3pir^(3)XN`
N `to` Avogadros number
Actual volume occupied by 1 mol of oxygen gas at STP=`22,400 cm^(3).`
`thereforeV=4/3xx3.14xx(1.5xx10^(-8))^(3)xx6.023xx10^(23)=8.51cm^(3)`
Therefore, ratio of the molecular volume to the actual volume of oxygen.
`(V)/V_(1)=(8.51)/(22,400)=3.8xx10^(-4)=4xx10^(-4)`


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