Home
Class 12
CHEMISTRY
The volume of nitrogen gas Um (measured ...

The volume of nitrogen gas Um (measured at STP) required to cover a sample of silica get with a mono-molecular layer is `129 cm^(3) g^(-1)` of gel. Calculate the surface area per gram of the gel if each nitrogen molecule occupies `16.2 xx 10^(-20) m^(2).`

Text Solution

Verified by Experts

`22400cm^(3)` or `N_(2)` at S.T.P. contain `=6.022xx10^(23)` molecules
`therefore 129 cm ^(3)` of `N_(2)` at S.T.P. will contain `=(6.022xx10^(23)xx129)/(22400)=3.468xx10^(21)` molecules
Area occupied by a single molecule `=16.2xx10^(-20)m^(2)`
`therefore` Area occupied by `6.468 xx10^(21)` molecules of `N_(2)=(16.2 xx10^(-20))xx(3.468xx10^(21))m^(2)=561.8m^(2)`
`therefore` Surface area per gram of gel `=561.8m^(2).`
Promotional Banner

Topper's Solved these Questions

  • SURFACE CHEMISTRY

    PRADEEP|Exercise VALUE BASED QUESTIONS|5 Videos

  • SURFACE CHEMISTRY

    PRADEEP|Exercise COMPETITION FOCUS (MULTIPLE CHOICE QUESTIONS) (I. ADSORPTION)|17 Videos

  • SURFACE CHEMISTRY

    PRADEEP|Exercise HIGHER ORDER THINKING SKILLS (HOTS QUESTIONS)|7 Videos

  • SOME BASIC CONCEPTS OF CHEMISTRY

    PRADEEP|Exercise Competition (FOCUS) JEE (Main and Advanced)/Medical Entrance SPECIAL (VIII. Assertion-Reason Type Questions)(Type II)|13 Videos

Similar Questions

Explore conceptually related problems

The volume of nitrogen gas Vm (at STP) reqired to cover a sample of silica gel with a monomolecular layer is 129cm^(3)g^(-1) of gel. Calculate the surface area per gram of the gel if each nitrogen molecule occupies 16.23xx10^(-20)m^(2) .

At 1 atm and 273 K the volume of nitrogen gas required to cover a sample of silica gel, assuming Langmuir monolayer adsorption , is found to be 1.30 cm^(3)g^(-1) of the gel. The area occupoied by a nitrogen molecule os 0.16nm^(2) . Find out the no. of surface sites occupied per molecule of H_(2) .

Volume of N_(2) at 1 atm, 273 K required to form a monolayer on the surface of iron catalyst is 8.15ml//gm of the adsorbent. What will be the surface area of the adsorbent per gram if each nitrogen molecule occupies 16 xx 10^(-22)m^(2) ? [Take : N_(A)=6xx10^(23) ]

1.30 cm^(3) of N_(2) gas at STP is adsorbed per gram of silica gel. The area occupied by nitrogen molecule is 0.16 nm^(2) . What is the surface area per gram of silica gel ? (N_(A)=6.023xx10^(23))