English

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?

Advertisements
Advertisements

Question

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?

Numerical
Advertisements

Solution

For bcc unit cell, n = 2

Using formula (i),

Number of atoms in 200 g of element,

= `(200 g xx 2)/(14.44 g  cm^-3 xx (2.88 xx 10^-8  cm)^3`

= 9.61 × 1024

Using formula (ii),

∴ Number of atoms in 200 g element is 9.61 × 1024

∵ Number of unit cells in 200 g element is 4.80 × 1024

shaalaa.com
Cubic System
  Is there an error in this question or solution?
2025-2026 (March) Model set 1 by shaalaa.com

RELATED QUESTIONS

An element with molar mass 27 g/mol forms a cubic unit cell with edge length of 405 p.m. If the density of the element is 2.7 g/cm3, what is the nature of the cubic unit cell?


If the total volume of a simple cubic unit cell is 6.817 × 10-23 cm3, what is the volume occupied by particles in the unit cell?


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?


How many total constituent particles are present in simple cubic unit cell?


The percentage of unoccupied volume in simple cubic cell is ______.


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?


Consider the following unit cell.

The number of particles (spheres) per unit cell is:


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 ______.


The coordination number of atoms in body-centred cubic structure (bcc) is ______.


Calculate the density of metal with molar mass 56 g mol- 1 that crystallises to form a bcc structure with edge length 288 pm.


What is the density of potassium, if it has a bcc structure with edge length 4Å?
(Atomic mass of K = 39)


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 ______.


What would be the empirical formula of a compound having a unit cell containing A ion shared equally at the corner of the cube and B ion on the centre of faces of the cube?


An element crystallises in fee structure. If molar mass of element is 72.7 g mol -1, the mass of its one unit cell will be ______.


The number of particles present in Face Centred Cubic Unit cell is/are ______.


Which of the following metals exhibits minimum packing efficiency in its cubic system?


The cubic unit cell of a metal (molar mass = 63.55g mol−1) has an edge length of 362 pm. Its density is 8.92g cm−3.

The type of unit cell is ______.


Calculate the molar mass of an element having density 2.8 g cm−3 and forms fcc unit cell.

[a3.NA = 38.5 cm3 mol−1]


Calculate the molar mass of an element having a density of 19.2 g cm−3 if it forms an fcc structure [a3 × NA = 40 cm3 mol−1].


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×