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The critical density of the gas CO(2) is...

The critical density of the gas `CO_(2)` is `0.44 g cm^(-3)` at a certain temperature. If r is the radius of the molecules, `r^(3)` in `cm^(3)` is approximately. `(N` is Avogadro number)

A

`(25)/(pi N)`

B

`(100)/(pi N)`

C

`(6)/(pi N)`

D

`(25)/(4N pi)`

Text Solution

Verified by Experts

The correct Answer is:
D
0.44 g occupies a volume of `1 cm^(3) :.` 44 g (i.e 1 mol) occupies volume of `100 cm^(3)`
`V_(C) = 3b` , b= 4times the volume of one molecule
`3 xx 4 xx (4)/(3) pi r^(3) N = 100 rArr r^(3) = (25)/(4pi N)`
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