Question

KABLA 24. By X-ray diffraction it is found that nickel (at. mass = 59 g mol-?), crystallizes with ccp. The edge length of the unit cell is 3.5 Å. If density of Ni crystal is 9.0 g/cmº. Then value of Avogadro's number from the data is: A. 6.05 x 1023 B. 6.11 x 1023 C. 6.02 x 1023 D. 6.023 x 1023 OTH bodol and tobedral

NEET/Medical Exams

Chemistry

Solution

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No. of atoms in Nichel unit cell = 4 Vslume of one unit all [ =left(3 cdot 5 times 10^{-8}right)^{3} mathrm{cm}^{3} ] Demidy of nickel all ( Rightarrow 4left(frac{5}{N}right) ) ( frac{3 cdot 5 times 10^{-8}}{(3 cdot 5 times 1)^{3}}=9 ) ( Rightarrow 4left(frac{5 q}{N}right)=9 timesleft(3 cdot 5 times 10^{-8}right)^{3} ) ( begin{aligned} Rightarrow frac{236}{N} &=9 times 42 cdot 875 times 10^{-24} Rightarrow N &=frac{236}{982385.875 times 10^{-24}} &=6.11 times 10^{229} end{aligned} ) ( = ) option ( (B) )