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

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)` .

A

`16xx10^(-16) cm^(2)`

B

`0.35 m^(2)//g`

C

`39 m^(2)//g`

D

`22400 cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
The volume of `N_(2)` at STP required to cover the ion surface with monolayer `=8.15 ml gm^(-1)`
Area occupied by single molecule `=16xx10^(-18) cm^(2)`
`22400` ml of `N_(2)` at STP contains `=N_(A)` molecule of `N_(2)`
`:. 8.15 ……………. =(8.15xxN_(A))/(22400)=2.19xx10^(20)` molecule of `N_(2)`
Area occupied by `2.19xx10^(20)` molecule of `N_(2)=2.19xx10^(20)xx16xx10^(-18) cm^(2)=35.06xx10^(2) cm^(2)`
surface area of the iron adsorbed `=0.35 m^(2) gm^(-1)`
In short `A=("Volume covered by the" N_(2) "molecule"xxN_(A)xx"Area occupied by single molecule")/22400`
Promotional Banner

Similar Questions

Explore conceptually related problems

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).

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 occupied by a nitrogen molecule is 0.16nm^(2) . Find out the no. of surface sites occupied per molecule of N_(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) ]

AT STP the volume of nitrogen gas required to cover a sample of silica gel, assuming Langmuir monolayer adsorption, is found to be 1.3^30^1 of the gel. The area occupied by a nitrogen molecule is 0.1 0^2 What is the surface area per gram of silica gel? [Given N_A =6 diamond ^2 ]

A catalyst adsorb 100 mL of nitrogen gas at S.T.P. Per gram of catalyst surface and forms a monomolecular layer. The effective surface area occupied by one nitrogen molecules on the surface of catalyst is 0.16 xx 10^(-14) cm^(2) . What is the total surface area occupied by nitrogen molecules per gram of catalyst? (Given : Volume of gas at STP = 22.4 L)

A 0.016 M of an acid solution in benzene is dropped on a water surface, the benzene evaporates and the acid forms a monomolecular film of solid type. What volume of the above solution would be required to cover a 500 surface area of water with monomolecular layer of acid? Area covered by single acid molecule is 0.2 xx 10^(-17) cm^(2)

2.0 g of charcoal is placed in 100 mL of 0.05 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 3xx10^(2) m^(2)g^(-1) . The surface area of charcoal is adsorbed by each molecule of acetic acid is a. 1.0xx10^(-18)m^(2) b. 1.0xx10^(-19)m^(2) c. 1.0xx10^(13)m^(2) d. 1.0xx10^(-22)m

One gram of charcoal adsorbs 400 " mL of " 0.5 M acetic acid to form a mono layer and the molarity of acetic acid reduced to 0.49. Calculate the surface area of charcoal adsorbed by each molecule of acetic acid. The surface area of charcoal is 3.01xx10^(2)m^(2)g^(-1) .

1 g charcoal is placed in 100 mL of 0.5 M CH_(3)COOH to form an adsorbed mono-layer of acetic acid molecule and thereby the molarity of CH_(3)COOH reduces to 0.49 . Calculate the surface area of charcoal adsorbed by each molecule of acetic acid. Surface are of charocal =3.01xx10^(2)m^(2)//g .

The average translational kinetic energy of nitrogen gas molecule is 0.02eV (1eV - 1.6 xx 10^(-19)J) . Calculate the temperatuire of the gas. Boltzmann constant k = 1.38 xx 10^(-23) J//K .