A2B molecules (molar mass - 259.8 g/mol) crystallises in a lattice as shown in figure. The lattice constants are a = 5 A˙ and b = 8 A˙. If density of crystal is 5 g/cm3 then how many molecules are contained in given unit cell? (use NA = 6 x 1023)
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a
6
b
4
c
5
d
2
answer is D.
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Detailed Solution
Vol. of unit cell = a2 sin 60° x b = 173.2 x 10-24cm3a = 5 A˙Mass of unit cell = 173.2 x 10-24 x 5 x 6 x 1023= 519.6 gNo. of molecules present in given unit cell= 519.6259.8 = 2