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
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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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