Home
Class 12
CHEMISTRY
The no. of atoms in 100g of a fcc cr...

The no. of atoms in 100g of a fcc crystal with density =10.0 g/cc and edge length as 100 pm is :

A

`3xx10^(25)`

B

`4xx10^(25)`

C

`1xx10^(25)`

D

`2xx10^(25)`

Text Solution

Verified by Experts

The correct Answer is:
B
`rho = (nM)/(N_(o)a^(3)) " " (a=100p m = 10^(-8)cm)`
`10=(4xxA)/(6.023xx10^(23)xx(10^(-8))^(3))rArr A=(6.023)/(4)=1.508`
`because 1.5 g` contains `6.023xx10^(23)` atoms
`therefore 100 g` contains `= (6.023xx10^(23))/(1.5)xx100=4xx10^(25)`
Hence, (B) is the correct answer.
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of atoms in 100 g of an fcc crystal with density = 10.0g cm^(-3) and cell edge equal to 200 pm is equal to

The number of atoms in 100 g an fcc crystal with density d = 10 g//cm^(3) and the edge equal to 100 pm is equal to

A substance has a face centred cubic crystal with a density 1.984 g cm^(-3) and edge length 630 pm. Calculate the molar mass of the substance

The unit cell of a metallic element of atomic mass ( 108 g //"mole" ) and density 10.5 g//cm^(3) is a cube with edge length of 409 pm. The structure of the crystal lattice would be:

The radius of an atom is 100 pm. If this element crystallizes in FCC lattice, the edge length of unit cell is

What fraction of calcium atoms lies on the surface of a cubie crystal that is 1.00 cm in length ? Calcium has fcc lattice with edge length 0.556 nm.

Determine the type of cubic lattice to which a crystal belongs if the unit cell edge length is 290 pm and the density of crystal is 7.80g cm^(-3) . (Molar mass = 56 a.m.u.)

A substance has density of 2 kg dm^(-3) and it crystallizes to fcc lattice with edge length equal to 700 pm . The molar mass of the substance is _______ .

Determine the type of cubic lattice to which the iron crystal belongs if its unit cell has an edge length of 286 pm and the density of iron crystals is 7.86g cm^(-3) .

An element with atomic mass 93 g mol^(-1) has density 11.5 g cm^(-3) . If the edge length of its unit cell is 300 pm, identify the type of unit cell.