Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Using the formula (i),
r = 0.3535 a
∴ r = 0.3535 × 353.6 = 125 pm
Using the formula (ii),
Number of unit cells in volume (V) of metal = `"V"/"a"^3`
∴ Number of unit cells in 1.00 cm3 of Al = `1.00/(3.536 xx 10^-8)^3`
= 2.26 × 1022
- Radius of Al atom (r) is 125 pm.
- Number of unit cells in 1.00 cm3 of Al is 2.26 × 1022.
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.
In crystal lattice formed by bcc unit cell, the void volume is _______.
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.
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?
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?
In hexagonal close packed (hep) structure, ____________ layer and ____________ layer have horizontal and vertical alignment.
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?
In two dimensional AAAA type packing, the coordination number of each sphere is ____________.
The coordination number of Rh in the complex [Rh(NH3)3(SCN)3] is ____________.
In ABCABC type arrangement of spheres, the coordination number of any sphere is __________.
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)
Which metal crystallises in a simple cubic structure?
What is the coordination number of atoms in bcc crystal lattice?
The coordination number of cobalt in the complex [Co(en)2Br2]Cl2 is ______.
The number of octahedral sites per sphere in ccp structure is ______.
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)
Calculate the total number of tetrahedral and octahedral voids formed in 0.6 mol of a compound if it forms hcp structure.
If the length of the body diagonal of a FCC unit cell is xÅ, the distance between two octahedral voids in the cell in Å is ______.
The number of nearest neighbours in a bcc unit cell is ______.
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.
