Home
Class 12
CHEMISTRY
Chromium metal crystallizes with a body-...

Chromium metal crystallizes with a body-centred cubic lattice. The length of the unit cell edge is found to be `287`pm. Calculate the atomic radius. What woulds be the density of chromium in `g cm^(-3)`?

Text Solution

Verified by Experts

For bcc lacttice
`r = (sqrt3)/(4) = (sqrt3 xx 287)/(4) = 124.87 Å`
Density `(rho) = (Z_(eff) xx Mw)/(a^(3) xx N_(A))`
`(2 xx 51.99)/(287 xx 10^(-10))^(3) xx 6.023 xx 10^(23)`
`= 7.30 g cm^(-3)`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    CENGAGE CHEMISTRY|Exercise Ex 1.1 (Subjective)|12 Videos

  • SOLID STATE

    CENGAGE CHEMISTRY|Exercise Ex 1.1 (Objective)|19 Videos

  • SOLID STATE

    CENGAGE CHEMISTRY|Exercise Exercises (Archives ) Interger|1 Videos

  • REDUCTION AND OXIDATION REACTION OF ORGANIC COMPOUNDS

    CENGAGE CHEMISTRY|Exercise SUBJECTIVE TYPE|3 Videos

  • SOLUTIONS

    CENGAGE CHEMISTRY|Exercise Ex 2.3 (Objective)|9 Videos

Similar Questions

Explore conceptually related problems

A metal crystallises with a body-centred cubic lattice. The edge length of the unit cell is 360 pm. Radius of the metal atom is

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

A metal crystallizes with a face -centred cubic lattice.The edge of the unit cells is 408 pm.The dimeter of the metal atoms is

A metal has a body-centred cubic lattice and the length of the unit cell is \(3A^{0}\) .If the density is 10gm/cc .Calculate its atomic weight.

A metal crystallizes in a body-centred cubic lattice with the unit cell length 320 pm. The radius of the metal atom (in pm) will be