Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
Choose the most correct answer.
In crystal lattice formed by bcc unit cell, the void volume is _______.
The coordination number of atoms in bcc crystal lattice is ______.
Answer the following in one or two sentences.
Sketch a tetrahedral void.
The number of tetrahedral voids are formed if the number of atoms in a crystal is N/2.
A metal crystallizes in bcc lattice with edge length 4.48 Å. The radius of the metal atom is ___________ Å.
An element crystallises in a bee lattice with cell edge of 500 pm. The density of the element is 7.5 g cm-3. How many atoms are present in 300 g of metal?
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)
The coordination number of Rh in the complex [Rh(NH3)3(SCN)3] is ____________.
Zinc forms hcp structure. What is the number of tetrahedral voids formed in 0.3 mol of it?
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?
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 ______.
Which metal crystallises in a simple cubic structure?
Which among the following metals crystallise as a simple cube?
The coordination number of cobalt in the complex [Co(en)2Br2]Cl2 is ______.
How much vacant space is present in hep crystal lattice?
Find the total number of tetrahedral and octahedral voids formed in 1 mole of a compound forming hcp structure.
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?
