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.

The edge length of unit cell of a metal having molecular weight `75 g

1.	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.
Answer» Correct Answer - 216.5 pm (so, the required answer is 217 pm) `rho=(Zxxm)/(N_(A)V)rArrZ=(rhoN_(Aa^(3)))/(m)=(2xx6xx10^(23)xx(5xx10^(-4)))/(75)approx2` (Therefore, metal crystallizes in bcc strucutre and for a bcc lattice `sqrte(3)a=4r`) `r=(sqrt(3)a)/(4)=sqrt(3)/(4)xx5overset(@)A=2165overset(@)A=216.5`pm (so, the required answer is 217pm)

Discussion

No Comment Found

Related InterviewSolutions

Iodine molecules are held in the crystals lattice by ……..A. London forcesB. dipole-dipole interractionsC. covalent bondsD. coulombic forces
Iodine molecules are held in the crystal lattice by:A. London forcesB. Dipole -dippole interactionsC. Covvalent bondsD. Coulombic forces
Which of the following compounds are not isomorphous? a. Copper sulphate and zine sulphate b. Zinc sulphate and manganeous sulphate c. Calcium carbonte and ferrous sulphate d. Zine sulphate and ferrous sulphate
How many unit cells are present in a cube-shaped crystal of NaCl of mass 1.00g?A. `2.57xx10^(21)` unit cellsB. `5.14xx10^(21)` unit cellsC. `1.28xx10^(21)` unit cellsD. `1.71xx10^(21)` unit cells
Which of the following statements is/are correct?A. Dislocation of ion from lattice site to intersitial site is called Frenkel defect.B. Missing of +ve and -ve ions from their respective postion producing a parir of holes is called Sschorttky defect.C. The presence of ions in the vacant intersitial sites along with lattice point is called interstital defect.D. Non-stoichiometric NaCl is yellow solid.
which of the following is not the characteristic of ionic solids?A. Very low value of electrical conductivity in the molten stateB. Brittle natureC. Very strong forces of interactionsD. Anisotropic nature
For which of the following cases, answer is `4`A. Coordination number of `Zn^(2+)` in `Z` inc blendeB. Number of body diagonal planes in a cubeC. Formula units in rock salt structureD. Formula units in `CsCl` structure
The existence of a substance in more the one solid modifications is known as//or .Any compound having more than two cystal structures is calledA. IsomorphismB. Polymorp hismC. NeomorphismD. Crystallomorphism
Ionic solids are characterised byA. Good conductivity in solid stateB. High vapour pressureC. Low melting pointD. Solubility in polar solvents
Aluminium metal has a density of `2.72 g cm^(-3)` and crystallizes in a cubic lattice with an edge of `404 pm`. Which of the following is correct?A. It forms bcc unit cellB. It forms fcc unit cellC. Its `CN = 8`D. Its `CN` is `6`

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.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment