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  4. A metal nitride, M 3 N 2 contains 28 % of nitrogen. The atomic mass of metal, M is

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Q. A metal nitride, $M _{3} N _{2}$ contains $28 \%$ of nitrogen. The atomic mass of metal, $M$ is ____

Some Basic Concepts of Chemistry

Solution:

In the given metal nitride, nitrogen present is $28 \%$ that means, the nitride contains $28\, g$ nitrogen and $72 \,g$ metal.

Moles of metal $=\frac{72}{ x }$

Moles of nitrogen $=\frac{28}{14}=2$

$\Rightarrow $ Molar ratio, $M : N =\frac{72}{ x }: 2=3: 2$

$\frac{72}{x}=3$

$\therefore x=24$