Q36 / 77 · NTA Abhyas (JEE Main) 2020 · Chemistry · Solid State

A metallic element exists in cubic lattice. Each edge of unit cell is 4 A o The density of metal is 6.25 g  /m 3 . How many unit cells will be present in 100 g of metal?

  • A
    1×1022
  • Correct answer
    B
    2.5×1029
  • C
    5×1023
  • D
    2×1023

Solution

d =  weight Total volume
6.25= 100 n× 4× 10 −10 3
100 6.25×64× 10 −30
n = 2.5 ×  10 29

Hence, the correct answer is option: 'B'.

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