Home
Class 12
CHEMISTRY
For two isomorphous crystals A and B, th...

For two isomorphous crystals A and B, the ratio of density of A to that of B is 1.6. While the ratio of the edge length of B to that of A is 2. If the molar mass of crystal B is 200 g `mol^(-1)`, then that of crystal A is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Density of crystal lattice is directly proportional to molar mass and inversely proportional to edge length `dpropM/(a^(3))`. If density and molar mass of isomorphous crystal (A) are `d_(A)andM_(A)`, density and molar mass of isomorphous crystal (B) are `d_(B)andM_(B)` respectively.
then, `d_(A)/(d_(B))=M_(A)/(M_(B))xx(a_(B)/(a_(A)))^(3)`
Given, `M_(A)=?,M_(B)=200"g/mol"`
`d_(A)/(d_(B))=1.6,a_(B)/(a_(A))=2`
`m_(A)=(1.6xx200)/(8)=40"g/mol"`
Promotional Banner

Similar Questions

Explore conceptually related problems

The ratio of the diameters of two cylinders is 1: 2 and the ratio of the length is 3: 1 . What is the ratio of their volumes?

Calculate the density of NaCl, if the edge length of NaCl unit cell is 564 pm. (Molar mass of NaCl=58.5 g/mol)

Calculate the density of NaCl, if edge length of NaCl unit cells is 564pm. [Molar, mass of NaCl =58.5g/mol].

A metal has a density of 2.6 gcm ^-3 and Its atomic mass is 27. Its cell has an edge length of 405 pm.What type of crystal lattice is for the metal?

Two combining spheres A and B of radius a and b respectively are at the same potential. The ratio of the surface charge densities of A and B is ________.