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QNEET-2016-Ch-1030: NEET 2016 Chemistry - Class 12 NEET-2016-Ch-1030 Solution: Lithium has a bcc structure. Its density is \(530\ {kg…

Lithium has a bcc structure. Its density is 530 kg m−3530\ \text{kg m}^{-3} and its atomic mass is 6.94 g mol−16.94\ \text{g mol}^{-1}. Calculate the edge length of a unit cell of lithium metal. (NA=6.02×1023 mol−1N_A = 6.02 \times 10^{23}\ \text{mol}^{-1}) 527 pm 264 pm 154 pm 352 pm

Multiple Choice Options

  • A 527 pm
  • B 264 pm
  • C 154 pm
  • D 352 pm

Step-by-Step Verified Solution

For bcc structure we have, Z = 2 Given, _ = 530 kg m �3 atomic mass of Li = 6.94 mol �1 N A = 6.02 _ 10 23 mol �1 _ = 530 kg m �3 = 530 _ 1000 ( 100 ) 3 = 0.53 g cm �3 Also, _ = z _ A t . m a s s N A _ a 3 _ a 3 = Z _ A t . m a s s N A _ _ = 2 _ 6.94 6.02 _ 10 23 _ 0.53 = 43.5 _ 10 -10 cm 3 _ a = 352 _ 10 �10 cm = 352 pm

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