Solid State Test

Result

Solid State Test - 6

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Weekly Quiz Competition

Question 1
4 / -1

An element cyrstallises in a structure having a fcc unit cell of and edge 200 pm. Calculate its density if 200 g of this element contains 24 x 10²³ atoms.

A
41.66 g cm⁻³

B
313.9 g cm⁻³

C
8.117 g cm⁻³

D
400 g cm⁻³

Solution

Molar mass =
= 50.19gmol⁻¹ for fcc, Z = 4, V = a³ =(200×10⁻¹⁰)³
d =
= 41.66g cm³
Question 2
4 / -1

A unit cell of sodium chloride has four formula units. The edge length of the unit cell is 0.564 nm. What is the density of sodium chloride?

A
3.89 gcm⁻³

B
2.16 gcm⁻³

C
3 gcm⁻³

D
1082 gcm⁻³

Solution

d =
= 2.16 gcm⁻³
Question 3
4 / -1

The distance between Na⁺ and CI^- ions in NaCl with a density 3.165 g cm-³ is

A
497 pm

B
248.5 pm

C
234 pm

D
538.5 pm

Solution

a³ = 122.77 × 10⁻²⁴cm³
a = 4.97 × 10⁻⁸cm or 497 pm
Distance between Na⁺and Cl⁻ = a/2
= 497/2
= 248.5 pm
Question 4
4 / -1

The unit cell of aluminium is a cube with an edge length of 405 pm. The density of aluminium is 2.70 g cm^-3. What is the structure of unit cell of aluminium?

A
Body-centered cubic cell

B
Face-centered cubic cell

C
End-centered cubic cell

D
Simple cubic cell

Solution

⇒ 2.70 =
Z = 4
Hence, structure of aluminium unit cell is fcc or face- centred.
Question 5
4 / -1

The density of a metal which crystallises in bcc lattice with unit cell edge length 300 pm and molar mass 50 g mol^-1will be

A
10 g cm^-3

B
14.2 g cm^-3

C
6.15 g cm^-3

D
9.31 g cm^-3

Solution

For bcc structure, Z = 2
d =
= 6.15 g cm^-3