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
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 one or two sentences.
Sketch a tetrahedral void.
How are tetrahedral and octahedral voids formed?
Third layer of spheres is added to second layer so as to form hcp or ccp structure. What is the difference between the addition of third layer to form these hexagonal close-packed structures?
An octahedral void is surrounded by ________.
The coordination number of spheres in the hcp lattice in three dimension is ______.
The number of tetrahedral voids are formed if the number of atoms in a crystal is N/2.
The ratio of close-packed atoms to tetrahedral holes in cubic close packing is ____________.
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)
Xenon crystallises in fcc lattice and the edge length of unit cell is 620 pm. What is the radius of Xe atom?
Zinc forms hcp structure. What is the number of tetrahedral voids formed in 0.3 mol of it?
Zinc forms hcp structure. What is the number of octahedral voids formed in 0.2 mol of it?
What is the coordination number of cation in ionic compound if the type of hole occupied by cation is octahedral?
Aluminium crystallises in a cubic close-packed structure with a unit cell edge length of 353.6 pm. What is the radius of Al atom? How many unit cells are there in 1.00 cm3 of Al?
Percentages of free space in cubic close-packed structure and in the body-centered packed structure are respectively ______.
What is the coordination number of atoms in bcc crystal lattice?
The number of octahedral sites per sphere in ccp structure is ______.
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.
What is the minimum number of spheres required to develop an octahedral void?
