Q44 / 164 · NTA Abhyas (NEET) 2020 · Chemistry · Solid State

NH4Cl crystallizes in a body-centred cubic lattice with edge length of unit cell equal to 387 pm. If the radius of the Cl- ion is 181 pm, radius for NH4+ ion is

  • Correct answer
    A
    154.1 pm
  • B
    92.6 pm
  • C
    366.3 pm
  • D
    None of these

Solution

In body centered cubic lattice, oppositely charged ions touch each other along the cube
2rc+2ra=3a
rc+ra=32a
=32×387=335.15pm
given ra=181pm
rc=335.15-181.0=154.15pm

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

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