Advertisements
Advertisements
प्रश्न
Gold crystallises into face-centred cubic cells. The edge length of a unit cell is 4.08 × 10–8 cm. Calculate the density of gold. [Molar mass of gold = 197 g mol–1]
When gold crystallizes, it forms face-centred cubic cell. The unit cell edge length is 408 pm. Calculate the density of gold. [Molar mass of gold = 197 g mole–1]
उत्तर
Given:
The edge length (a) of the unit cell = 408 pm = 4.08 × 10–8 cm
M = 197 g mol
It crystallises in Face-centred cubic cells.
Density (ρ) = `(nM)/(a^3N_A)`
Where n = Number of particles
For FCC, n = 4
M = Molar Mass
a = Edge length
NA = 6.022 × 1023
ρ = `(197 xx 4)/((4.08 xx 10^-8)^3 xx 6.022 xx 10^23)`
ρ = `788/(67.92 xx 10^-24 xx 6.022 × 10^23)`
ρ = `788/(408.99 xx 10^-1)`
ρ = 1.927 × 10−1
ρ = 19.27 g cm–3
संबंधित प्रश्न
An element with molar mass 27 g/mol forms a cubic unit cell with edge length of 405 pm. If the density of the element is 2.7 g/cm3, what is the nature of the cubic unit cell?
Give the percentage of empty space in bcc lattice.
Find the number of atoms in the fcc unit cell.
The pyranose structure of glucose is ____________.
Silver crystallises in fcc structure, if edge length of unit cell is 316.5 pm. What is the radius of silver atom?
An element crystallizes in fcc type of unit cell. The volume of one unit cell is 24.99 × 10-24 cm3 and density of the element 7.2 g cm-3, Calculate the number of unit cells in 36 g of pure sample of element?
What is the percentage of unoccupied space in fcc unit cell?
How many total constituent particles are present in simple cubic unit cell?
The number of atoms in 500 g of a fcc crystal of a metal with density d = 10 g/cm3 and cell edge 100 pm, is equal to ____________.
A metal crystallises in bcc unit cell with edge length 'a'. What will be the volume of one atom?
If the edge of a body-centred unit cell is 360 pm, what will be the approximate radius of the atom present in it? (in pm)
An element crystallizes bcc type of unit cell, the density and edge length of unit cell is 4 g cm−3 and 500 pm respectively. What is the atomic mass of an element?
An element with density 2.8 g cm−3 forms fcc unit cell having edge length 4 × 10−8 cm. Calculate molar mass of the element.
Copper and silver have ____________ crystal structure.
A metallic element has a cubic lattice with edge length of unit cell 2 Å. Calculate the number of unit cells in 200 g of the metal, if density of metal is 2.5 g cm-3?
Which of the following formulae is used to find edge length of bee unit cell?
What is the density of iron crystal which crystallizes in body-centred cubic structure with edge length 287 pm? (At. mass of Fe = 56 amu)
The number of atoms in 100 g of an fcc crystal with density 10 g cm-3 and unit cell edge length 200 pm is equal to ______.
An element has a bee structure with unit cell edge length of 288 pm. How many unit cells and number of atoms are present in 200 g of the element?
In face centred cubic unit cell, what is the volume occupied?
Identify unit cell from following having four particles in it
At room temperature, polonium Crystallises in a primitive cubic unit cell. If a = 3.36 Å. Calculate the theoretical density of polonium. [It's atomic weight is 209 g/mol.]
Silver crystallizes in the fcc structure. If the edge length of the unit cell is 400 pm, calculate the density of silver (Atomic mass of Ag = 108).
The correct sequence of the atomic layers in cubic close packing is ______.
The number of particles present in Face Centred Cubic Unit cell is/are ______.
