Home
Class 12
CHEMISTRY
Aluminium metal has a density of 2.72 g ...

Aluminium metal has a density of `2.72 g cm^(-3)` and crystallizes in a cubic lattice with an edge of `404` pm. Which is//are correct?

A

It forms bcc unit cell

B

It forms fcc unit cell

C

Its `CN = 8`

D

Its `CN` is `6`

Text Solution

Verified by Experts

The correct Answer is:
B
`rho = Z_(eff xx Aw of Al)/(N_(a) xx a^(3)), Z_eff = ?`
`2.72 g cm^(-3) = (Z_(eff) xx 27)/(6.023 xx 10^(23) xx (404 xx 10^(-10))^(3)`
`:. Z_(eff) = 4`
Hence, it forms `fcc` structure with `CN = 12`.
Promotional Banner

Similar Questions

Explore conceptually related problems

Sodium metal crystallizes in body centred cubic lattice with the cell edge a= 428 pm. What is the radius of sodium atom.

The edge length of unit cell of a metal having molecular weight 75 g mol^(-1) is 5 Å which crystallizes in cubic lattice. If the density is 2 g cc^(-1) , then find the radius of metal atom (N_(A) = 6 xx 10^(23)) . Give the answer in pm.

An element with density 11.2 g cm^(-3) forms a fcc lattice with edge length of 4 xx 10^(-8) cm. Calculate the atomic mass of the element. (Given : N_(A) = 6.022 xx 10^(23) mol^(-1) )

The density of lead is 11.35 g cm^(-3) and the metal crystallizes with fcc unit cell. Estimate the radius of lead atom. [Atomic mass of lead = 207 g mol and N_(A) = 6.02 xx 10^(23) mol^(-1) ]

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29Å . The radius of sodium atom is approximately :

(a) Calculate the packing efficiency in a Face Centered Cubic lattice. (b) If a metal with atomic mass 209 crystallizes in a simple cubic lattice what is the edge length of its unit cell. (Given d = 91.5 kg m-3).

A metal M of atomic weight 54.9 has a density of 7.42 g cm^(-3) . Calculate the volume occupied and the radius of the atom of this metal assuming it to be sphere.

A metal crystallizes with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

A metal of density 7.5 xx 10^(3) kg m^(-3) has an fcc crystal structure with lattice parameter a = 400 pm . Calculater the number of unit cells present in 0.015 kg of metal.

A face-centred cubic element (atomic mass 60 ) has a cell edge of 400 pm. What is its density?