मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Face centred cubic crystal lattice of copper has density of 8.966 g.cm-3. Calculate the volume of the unit cell.

Advertisements
Advertisements

प्रश्न

Face centred cubic crystal lattice of copper has density of 8.966 g.cm-3. Calculate the volume of the unit cell. Given molar mass of copper is 63.5 g mol-1 and Avogadro number NA is 6.022 x 1023 mol-1

Advertisements

उत्तर

Data: d=8.966 g cm-1

M.M. of copper = 63.5 gmol–1

NA=6.022XX1023

Solution : `d=(ZxxM)/(VxxN_A)`

Z=4(∵ Fcc)

`V=(ZxxM)/(d xx N_A)`

`=(4xx63.5)/(8.966xx6.023xx10^23)`

V=4.704x10-23 cm3
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2013-2014 (March)

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

A unit cell of iron crystal has edge length 288 pm and density 7.86 g.cm-3. Find the number of atoms per unit cell and type of the crystal lattice.

Given : Molar mass of iron = 56 g.mol-1; Avogadro's number NA = 6.022 x 1023.


How many atoms constitute one unit cell of a face-centered cubic crystal?


An element crystallises in a b.c.c lattice with cell edge of 500 pm. The density of the element is 7.5g cm-3. How many atoms are present in 300 g of the element?


Distinguish between Hexagonal and monoclinic unit cells


Explain how much portion of an atom located at (i) corner and (ii) body-centre of a cubic unit cell is part of its neighbouring unit cell.


A face centred cube (FCC) consists of how many atoms? Explain


An element has atomic mass 93 g mol−1 and density 11.5 g cm–3. If the edge length of its unit cell is 300 pm, identify the type of unit cell. (NA = 6.023 × 1023 mol−1)


Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a f.c.c. structure. (Atomic mass of Al = 27 g mol–1)


An element 'X' (At. mass = 40 g mol-1) having f.c.c. the structure has unit cell edge length of 400 pm. Calculate the density of 'X' and the number of unit cells in 4 g of 'X'. (NA = 6.022 × 1023 mol-1)


The density of silver having an atomic mass of 107.8 g mol- 1 is 10.8 g cm-3. If the edge length of cubic unit cell is 4.05 × 10- 8
 cm, find the number of silver atoms in the unit cell.
 ( NA = 6.022 × 1023, 1 Å = 10-8 cm)


Number of types of orthorhombic unit cell is ___________.


Volume of unit cell occupied in face-centered cubic arrangement is ____________.


TiCl has the structure of CsCl. The coordination number of the ions in TiCl is ____________.


An element forms a cubic unit cell with edge length 405 pm. Molar mass of this element is 2.7 × 10−2 kg/mol and its density is given as 2.7 × 103 kg/m3. How many atoms of these elements are present per unit cell?


A substance forms face-centered cubic crystals. Its density is 1.984 g/cm3 and the length of the edge of the unit cell is 630 pm. Calculate the molar mass in g/mol?


A metal has a body-centered cubic crystal structure. The density of the metal is 5.96 g/cm3. Find the volume of the unit cell if the atomic mass of metal is 50.


The number of atoms contained in a fcc unit cell of a monoatomic substance is ____________.


The edge length of fcc cell is 508 pm. If the radius of cation is 110 pm, the radius of anion is:


The density of a metal which crystallises in bcc lattice with unit cell edge length 300 pm and molar mass 50 g mol−1 will be:


Match the type of unit cell given in Column I with the features given in Column II.

Column I Column II
(i) Primitive cubic unit cell (a) Each of the three perpendicular edges compulsorily have the different edge length i.e; a ≠ b ≠ c.
(ii) Body centred cubic unit cell (b) Number of atoms per unit cell is one.
(iii) Face centred cubic unit cell (c) Each of the three perpendicular edges compulsorily have the same edge length i.e; a = b = c.
(iv) End centred orthorhombic cell (d) In addition to the contribution from unit cell the corner atoms the number of atoms present in a unit cell is one.
  (e) In addition to the contribution from the corner atoms the number of atoms present in a unit cell is three.

The correct set of quantum numbers for 3d subshell is 


The correct set of quantum numbers for 2p sub shell is:


If a represents the edge length of the cubic systems, i.e. simple cubic, body centred cubic and face centered cubic, then the ratio of the radii of the sphere in these system will be:-


In an ionic solid r(+) = 1.6 Å and r(−) = 1.864 Å. Use the radius ratio rule to the edge length of the cubic unit cell is ______ Å.


An element A (Atomic weight = 100) having bcc structure has a unit cell edge length 400 pm. The number of atoms in 10 g of A is ______ × 1022 unit cells.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×