Advertisements
Advertisements
प्रश्न
Predict the type of cubic lattice of a solid element having edge length of 400 pm and density is 6.25 g/ml.
(Atomic mass of element = 60)
Advertisements
उत्तर
Given:
Edge length a = 400 pm = 400 × 10−12 m = 400 × 10−12 cm = 4 × 10−8 cm
a3 = (4 × 10−8 cm)3
= 64 × 10−24 cm3
ρ = 6.25 g/mL = 6.25 g.cm−3
M = 60
To find:
n = ?
Formula:
ρ = `("M"xx"n")/("a"^3xx"N"_"A")`
6.25 = `(60xx"n")/(64xx10^-24xx6.022xx10^23)`
6.25 = `(60xx"n")/(6.4xx6.022)`
n = `(6.25xx6.4xx6.022)/60`
n = `(6.25xx6.4)/10`
n = 4
Hence, the type of cubic lattice is FCC, as 4 particles are present per unit cell.
APPEARS IN
संबंधित प्रश्न
The density of iron crystal is 8.54-gram cm–3. If the edge length of the unit cell is 2.8 A° and atomic mass is 56 gram mol–1, find the number of atoms in the unit cell. (Given: Avogadro's number = 6.022x1023,1A° = 1x10-8 cm)
Choose the most correct answer.
A compound forms hcp structure. Number of octahedral and tetrahedral voids in 0.5 mole of substance is respectively _______.
Answer the following in brief.
How are the spheres arranged in first layer of simple cubic close-packed structures? How are the successive layers of spheres placed above this layer?
How are tetrahedral and octahedral voids formed?
The number of octahedral voids formed in 0.5 mol of a compound forming hcp structure?
A metal crystallizes in bcc lattice with edge length 4.48 Å. The radius of the metal atom is ___________ Å.
A metallic element crystallises in simple cubic lattice. If edge length of the unit cell is 3Å, with density 8 g/cc, what is the number of unit cells in 100 g of the metal?
(Molar mass of metal = 108 g/mol)
A compound has fcc structure. If density of unit cell is 3.4 g cm−3, what is the edge length of unit cell?
(Molar mass = 98.99)
Xenon crystallises in fcc lattice and the edge length of unit cell is 620 pm. What is the radius of Xe atom?
The coordination number of each sphere in bcc lattice is ____________.
Zinc forms hcp structure. What is the number of tetrahedral voids formed in 0.3 mol of it?
In ABCABC type arrangement of spheres, the coordination number of any sphere is __________.
The atoms of element 'Y' form hexagonal close packing and the atoms of element X occupies `3/4` th portion of the number of tetrahedral voids. The formula of the compound formed by X and Y is ____________.
Which of the following has hcp crystal structure?
Zinc forms hcp structure. What is the number of octahedral voids formed in 0.2 mol of it?
A metallic element crystallizes in simple cubic lattice. If edge length of the unit cell is 3Å, with density 8 g/cc, what is the number of unit cells in 108 g of the metal?
(Molar mass of metal = 100 g/mol)
What is the coordination number of cation in ionic compound if the type of hole occupied by cation is octahedral?
Which metal crystallises in a simple cubic structure?
Calculate the total number of tetrahedral and octahedral voids formed in 0.6 mol of a compound if it forms hcp structure.
The number of nearest neighbours in a bcc unit cell is ______.
A metallic crystal crystallizes into a lattice containing a sequence of layers AB AB AB......Any packing of spheres leaves out voids in the lattice. What percentage of volume of this lattice is empty space?
Calculate the volume occupied by a particle in a simple cubic unit cell if the volume of the unit cell is 5.5 × 10−22 cm3.
