CBSE Class 12-science Answered
calculate the avagadro number if iron crystallises as fcc and its density is 2.8g/cm^3 . if the volume of unit cell is 56.38 * 10^-24 cm^3/unit cell ( atomis mass = 56 )
Asked by Akshaya Parthasarathy | 02 Jul, 2011, 12:00: AM
Expert Answer
1.Density= 2.8 g/cm3.
As it crystallises in fcc lattice ,
i.e.there are '8' Iron atoms at the corners and there contribution is 1/8.
and 6 at 6 faces of the cube
and atoms at the faces contribute=1/2.
Therefore, total no. of Iron atoms per cube,(Z)=(8*1/8+6*1/2)=(1+3)=4 atoms.
Density=mass/volume
volume=(56.38*10-24)cm3/unit cell.
mass of single = Z*(56)/NA, where NA=Avogadro's number.
Therefore, density*volume=Z*(55.84)/NA.
2.8*56.84=4*56/NA.
NA=4*56/2.8*56.84.
Answered by | 04 Jul, 2011, 11:10: AM
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