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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

The number of unit cells present in 39g of potassium if it...

The number of unit cells present in 39g\text{39}\text{g} of potassium if it crystallizes as body centred cube is (N=\text{N}\text{=} Avogadro number, At. Wt. of potassium = 39g/mol\text{39}\text{g/mol} )

Options

  1. AN4\dfrac{N}{4}
  2. BN2\dfrac{N}{2}
  3. CN3\dfrac{N}{3}
  4. DN\text{N}

Correct answer

B. N2\dfrac{N}{2}

Step-by-step solution

Potassium has bcc system
Number of mole =39/39=1\text{=}\text{39/39}\text{=}\text{1} mole
1\text{1} mole of atoms = \text{6}\text{.022} \times {\text{10}^{23} atoms =N\text{=}\text{N}
∵∵ In bcc system 2\text{2} atoms are present in 1\text{1} unit cell.

∴N∴ \text{N} number of atoms are present in N2\dfrac{N}{2} unit cells.
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