Home
Class 12
CHEMISTRY
Twenty precent of the surface sites of a...

Twenty precent of the surface sites of a catalyst is occupied by nitrogen molecules. The density of surface sites is `6.023xx10^(14)cm^(-2)` . The total sarface area is `1000cm^(2)` . The catalyst is is henced to `300K` and nitrogen is completely desorbed a pressure of `0.001` atm and volume of `2.46cm^(3)` . Calculate the number of sites occupied by niitrogen molecules.

Text Solution

Verified by Experts

The correct Answer is:
2
`P_(N_(2)) = 0.001` atm, T = 300 K, V = 2.46 `cm^(2)`
`therefore` Number of `N_(2)` molecules
`=(PV)/(RT) = (0.001 xx 2.46 xx 10^(-3))/(0.0821 xx 300) = 6.023 xx 10^(23)`
Not total number of surface sites = Density x Total surface area
`=6.023 xx 10^(14) xx 1000 = 6.023 xx 10^(23)`
Sites occupied by `N_(2)` molecules
`=20/100 xx 6.023 xx 10^(17)`
`=12.04 xx 10^(16)`
`therefore` No. of sites occupied by each `N_(2)` molecule
`=(12.04 xx 10^(16))/(6.016 xx 10^(16) ) =2`
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC/INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER-21: THE P-BLOCK ELEMENTS (GROUP 15,16,17 & 18)|15 Videos

  • CHAPTERWISE NUMERIC/INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 22- THE D- AND F-BLOCK ELEMENTS|15 Videos

  • CHAPTERWISE NUMERIC/INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER-18 CHEMICAL KINETICS|15 Videos

  • BIOMOLECULES

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

  • CHEMICAL BONDING AND MOLECULAR STRUCTURE

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Around 20% surface sites have adsorbed N_(2) . On heating N_(2) gas evolved form sites and were collected at 0.001 atm and 298 K in a container of volume 2.46cm^(3) the density of surface sites is 6.023xx10^(14)cm^(-2) and surface area is 1000cm^(2) find out the number of surface sites occupied per molecule of N_(2) .

A sample of nitrogen occupies a volume of 320 cm^(3) at STP . Calculate its volume at 546.3 K and 0.5 bar pressure.

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)

Calculate the diameter of one molecule of an ideal gas having number density 2xx10^(8)cm^(-3) and mean free path of the molecule is 10^(-8)cm .

Calculate the diameter of one molecule of an ideal gas having number density 2xx10^(8) cm^(-3) and mean free path of the molecule is 10^(-8) cm.

The diameter and thickness of a hollow metal sphere are 12 cm and 0.01 m respectively. The density of the metal is 8.88 gm per cm^(2) . Find the outer surface area and mass of the sphere. [pi = 3.14]