Home
Class 12
CHEMISTRY
Aluminium crystallies in a cubic close p...

Aluminium crystallies in a cubic close packed structure. Radius of the atom in the metal is 125 pm.
(i) What is the length of the side of the unit cell ?
(ii) How many unit cells are there in 1 `cm^(3)` of aluminium ?

Text Solution

Verified by Experts

r = 125 pm = `125 xx 10^(-10)` cm
(i) For ccp, edge length of unit cell,
`a = (4r)/(sqrt(2))`
`= (4 xx 125 xx 10^(-10))/(1.414)`
= `353.60 xx 10^(-10)` cm
`= 354 xx 10^(-10)` cm
(ii) Number of unit cells in 1 `cm^(3)`
`= ("Total volume")/("Volume of 1 unit cell" (a^(3)))`
`= (1 cm^(3))/((354 xx 10^(-10))^(3))`
`= 2.254 xx 10^(22)` Unit cells
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    OSWAAL PUBLICATION|Exercise TOPIC -1 (LONG ANSWER TYPE QUESTIONS - II)|3 Videos

  • SOLID STATE

    OSWAAL PUBLICATION|Exercise TOPIC -2 (VERY SHORT ANSWER TYPE QUESTIONS )|23 Videos

  • SOLID STATE

    OSWAAL PUBLICATION|Exercise TOPIC -1 (SHORT ANSWER TYPE QUESTIONS )|30 Videos

  • Sample Paper 8

    OSWAAL PUBLICATION|Exercise EXCERSICE|54 Videos

  • SOLUTIONS

    OSWAAL PUBLICATION|Exercise TOPIC - 3 COLLIGATIVE PROPERTIES , DETERMINATION OF MOLAR MASS, ABNORMAL MOLAR MASS, VAN.T HOFF FACTOR (LONG ANSWER TYPE QUESTIONS - II)|18 Videos

Similar Questions

Explore conceptually related problems

Aluminium crystallizes in an fcc structure. Atomic radius of the metal is 125 pm. Calculate the edge length of the unit cell of the metal.

Silver crystallies in face centred cubic (fcc) unit cell. If the radius of silver atom is 145 pm, what is the length of each side of the unit cell ?

Aluminium metals forms a cubic face centred close packed crystal structure. Its atomic radius is 125xx10^(-12) m. The length of the side of the unit cell is

Aluminium crystallizes in an FCC structare. Atomic radius of the metal is 125pm. Calculate the edge length of unit cell of the metal.

The cubic close-packed structure is based on an fcc unit cell.

Aluminium crystallizes in FCC structure. Atomic radius of the metalics 125 pm. Calculate the edge length of the unit cell.

In the previous question, the number of unit cells present in 1 m^3 of aluminium is

A metal crystallizeds in cubic close packed ( ccp). The atomic radius of metal is 144 pm and its atomic mass is 197 a.m.u. Its density is

Aluminium crystallizes in a ccp structure. Its metallic radius is 125pm. The number of unit cells in 1.00 cm^(3) of Al are

The radius of an atom of an element is 500 pm. If it crystallizes as a face-centred cubic lattice, what is the length of the side of the unit cell?