Home
Class 12
CHEMISTRY
The volume of nitrogen gas Vm (at STP) r...

The volume of nitrogen gas Vm (at STP) required to cover a sample of silica gel with a mono-molecular layer is `129 cm^2 g^(-1)` of gel. Calculate the surface area per gram of the gel if each nitrogen molecule occupies `16.23 xx 10^(-20) m^2`

A

562.6

B

461.8

C

831.6

D

941.8

Text Solution

Verified by Experts

The correct Answer is:
A
22400 `cm^(3)` of `N_(2)` at STP contain= `6.02 xx 10^(23)` molecules
Area occupied by a single molecule =`1.63 xx10^(20)m^(2)`
Therefore area occupied by `3.4668 xx10^(2)` molecules of `N_(2)`
`=(16.23xx10^(-20))xx(3.4668xx10^(21))m^(2)=562.6 m^(2)`
Therefore surface area per gram of gel =`562.6 m^(2)`
Promotional Banner

Similar Questions

Explore conceptually related problems

At 1 atm and 273 K the volume of nitrogen gas required to cover a sample of silica gel, assuming Langinuin monolayer adsorption, is found to be 1.30 cm^3 g^(-1) of the gel. The area occupied by a nitrogen molecule is 0.16 nm^(2) . What is the surface area per gram of silica gel? [Given : N_A = 6 xx 10^(23)]

One gram of activated carbon has a surface area of 1000 m. Considering complete coverage as well as monomolecular adsorption, how much ammonia at 1 atm and 273 K would be adsorbed on the surface of (44)/(7) g carbon if radius of a ammonia molecules is 10^(-8) cm . "[Given , " N_A = 6 xx 10^(23)]

10% sites of catalyst bed have adsorbed by H_2 . On heating H_2 gas is evolved from sites and collectedat 0.03 atm and 300 K in a small vessel of 2.46 cm^3 . No. of sites available is 5.4 xx 10^(16) per cm^2 and surfacearea is 1000 cm^2 . Find out the no. of surface sites occupied per molecule of H_2 : ["Given" N_A = 6 xx 10^(23)]

2.0 g of charcoal is placed in 100 mL of 0.5 M CH_3 COOH to form an adsorbed mono-acidic layer of acetic acid molecules and thereby the molarity of CH_3 COOH reduces to 0.49. The surface area of charcoal is 3 xx 10^2 m^2 g^(-1) . The surface area of charcoal adsorbed by each molecule of acetic acid is

20% surface sites have adsorbed N _2 On heating N, gas is evolved from sites and were collected at 0.001 atm and 298 K in a container of volume 2.46 cm^3 . Density of surface sites is 6.02 xx 10^14 cm^(-2) and surface area is 1000 cm^2 Find out the number of surface sites occupied per molecule of N_2 .

A gas occupies a volume 1.5 L at 9.5xx 10^(5)Nm^(-2) . Calculate the additional pressure required to decrease the volume to 1.0L keeping temperature constant.

In a solution of 100 mL 0.5 M acetic acid, one g of active charcoal is added, which adsorbs acetic acid. It is found that the concentration of acetic acid becomes 0.49 M if surface area of charcoal is 3.01 xx 10^(2) m^2 , calculate the area occupied by single acetic acid molecule on surface of charcoal.