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van der Waals constant b of helium is 24...

van der Waals constant b of helium is 24 mL `mol^(-1)`. Find molecular diameter of helium.

A

`1.335xx10^(-10)"cm" `

B

`1.335xx10^(-8)"cm" `

C

`2.67xx10^(-8)"cm" `

D

`4.34xx10^(-8)"cm" `

Text Solution

Verified by Experts

The correct Answer is:
c
(c) b=4`xx`volume occupied by molecules of 1 mol of a gas,
`or" "b=4N_(A)((4)/(3)pir^(3))`
`or" " r=((3b)/(16N_(A)pi))`
`=[(3xx24)/(16xx6.023xx10^(23)xx3.14)]^(1//3)" cm" `
`=1.355xx10^(-8) "cm" `
Now molecular diameter, d =2r
`=2.67xx10^(-8)"cm"`
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