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Question

Chemistry Question on Unit Cells

Number of unit cells in 4 g of X (atomic mass = 40) which crystallises in bcc pattern is iNA - Avogadro number)

A

0.1 NA0.1 \, N_A

B

2×0.1 NA2 \times 0.1 \, N_A

C

0.1NA2\frac{0.1 N_A}{2}

D

2×NA 2 \times N_A

Answer

0.1NA2\frac{0.1 N_A}{2}

Explanation

Solution

4g of X=440X = \frac{4}{40} mole = 0.1 mole = 0.1×NA0.1 \times N_A atoms .One bcc unit cell has 2 atoms, therefore, no. of unit cells in 0.1NA0.1 N_A atoms =0.1NA2 = \frac{0.1 N_A}{2}