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At STP the volume of nitrogen gas requir...

At STP the volume of nitrogen gas required to cover a sample of silica gas, assuming larngmulr monolayer adsorption is found to be `1.30 gcm^(-2) g^(-1)` of the gel.
The area occupied by a nitrogen molecule is `0.16nm^(2)`. What is the surface area per gram of silica gel ?

A

`5.568m^(2)g^(-1)`

B

`3.48m^(2)g^(-1)`

C

`1.6m^(2)g^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
1

No. of molecule per gm of `N_(2)` in monolayer `=(6xx10^(23))/(22400)xx1.30=3.48xx10^(19)`
area of a molecule `=1.6xx10^(19)m^(2)`
`:." "` Area covered by molecule per gram`=3.48xx10^(19)xx1.6xx10^(-19)=5.568m^(2)`
`:. " "`Surface are `=5.568m^(2)g^(-1)`
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