CBSE Class 12-science Answered
an element A crystallises in fcc structure . 200g of this element has 4.12*10^24 atoms. the density of A is 7.2g/cm^3.calculate the edge length of the unit cell
Asked by Akshaya Parthasarathy | 02 Jul, 2011, 12:00: AM
Expert Answer
Let length of each edge = a cm
volume of unit cell =a3 cm3
Mass of each atom = 200 / (4.12 x 1024)
=48.54 x 10-24 g
For fcc Z =4
Mass of unit cell = 4 x 48.54 x 10-24
= 194.16 x10 -24 g
Density =mass / volume
7.2 =194.16 x 10-24/a3
a3 =194.16 x10-24/ 7.2 =26.97 x 10-24
a = 2.999 x10-8 cm
=299.9 pm
Answered by | 04 Jul, 2011, 11:08: AM
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