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NEET 2016
Exam
NEET
Year
2016
Subject
Chemistry
Chapter
Solid State

NEET 2016 · Chemistry · Solid State

Lithium has a bcc structure. Its density is 530kg m ^ - 3 and its...

Lithium has a bcc structure. Its density is 530kgm−3530kg{m}^{- 3} and its atomic mass is 6.94gmol−16.94gmo{l}^{- 1} . Calculated the edge length of a unit cell of Lithium metal. (NA=6.02×1023mol−1)\left({N}_{A} = 6.02 \times {10}^{23}mo{l}^{- 1}\right)

Options

  1. A154 pm
  2. B352 pm
  3. C527 pm
  4. D264 pm

Correct answer

B. 352 pm

Step-by-step solution

d=ZMNAa3d = \dfrac{ZM}{{N}_{A}{a}^{3}}

a3=6.94×26.022×1023×530×10−3=6.94×200×10−245.30×6.022{a}^{3} = \dfrac{6.94 \times 2}{{6.022 \times 10}^{23} \times 530 \times {10}^{- 3}} = \dfrac{6.94 \times 200 \times {10}^{- 24}}{5.30 \times 6.022}

=3.52×10−8cm= 3.52 \times {10}^{- 8}cm

=352pm= 352pm

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