Home
Class 12
CHEMISTRY
A substance has a face centred cubic cry...

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

A

`98.63 g " mol"^(-1)`

B

`85.50 g " mol"^(-1)`

C

`74.70 g " mol"^(-1)`

D

`63.45 g " mol"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Density `(rho)=(ZxxM)/(N_(0)xxa^(3))"or " M=(lxxN_(0)xxa^(3))/Z`
`M=(1.984xx6.022xx10^(23)xx(630xx10^(-10))^(3))/4`
`=74.70 g " mol"^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

An element with density 11.2"g cm"^(-3) forms a fcc lattice with edge length of 4xx10^(-8) cm. Calculate the atomic mass of the element.

A metal (atomic mass = 40) has a body centred cubic crystal structure. If the density of the metal is 4.50 g cm^(-3) , calculate the volume of the unit cell.

An element with density 2.8g*cm^(-3) forms a fcc unit cell with edge length 4xx10^(-8) cm. Calculate the molar mass of the element. [Given: N_(A)=6.022xx10^(23)mol^(-1)]

A crystalline solid of a pure substance has a face – centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is 8 g cm^(-3) , then the number of atoms present in 256 g of the crystal is N xx 10^(24) . The value of N is ____________.

Calculate the edge length of body centred cubic lattice having density 9.4 g.cm^(-3) and atomic weight 56.

Titanium metal has a density of 4.54 "g cm"^(-3) and an edge length of 412.6 pm. In what cubic unit cell does titanium crystallise ?

Silver crystallises in a face-centred cubic structure with unit cells having an edge length of 407pm. What is the radius of a silver atom in nm unit?

The density of a face centred cubic element (atomic mass = 40 ) is 4.25 gm cm^(-3) , calculate the edge length of the unit cell.

KBr crystallises in a face-centred cubic crystal. The density of KBr crystal is 2.65g*cm^(-3) . If formula mass of KBr is 119g*mol^(-1) , then find the distance between K^(+)andBr^(-) in KBr crystal.

A metal (atomic weight = 75) has cubic crystal structure. Its density is 2g*cm^(-3) . The edge length of the unit cell of the crystal is 5Å. What is the radius of the metal atom?