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AIIMS 2013

Exam: AIIMS
Year: 2013
Subject: Chemistry
Chapter: Solid State

AIIMS 2013 · Chemistry · Solid State

In a solid, atom M occupies ccp lattice and 1 / 3^ rd of...

In a solid, atom

M

occupies ccp lattice and

1 / 3^{\text{rd }}

of tetrahedral voids are occupied by atom

N

. Find the formula of solid formed by

M

and

N

.

Options

A $M_3 N_2$
B $M_2 N_3$
C $M_4 N_3$
D $M_3 N_4$

Correct answer

A. $M_3 N_2$

Step-by-step solution

Suppose number of

M

atoms

=n

Then number of tetrahedral sites

=2 n

Number of

N

atoms

=\frac{1}{3}(2 n)

Ratio

M: N=n: \frac{2}{3} n=3: 2

, i.e., formula is

M_3 N_2

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