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A compound contains 28% of nitrogen and ...

A compound contains 28% of nitrogen and 72% of a metal by mass. In the compound, 3 atoms of the metal remains combined with two atoms of nitrogen. Find the atomic mass of the metal.

Text Solution

Verified by Experts

The formula of the compound is `M_(3)N_(2).` [metal=M]
`therefore`Molar mass of `M_(3)N_(2)=3a+28[a="atomic mass of M"]`
so, percentage of metal in the compound`=(3a)/(3a+28)xx100`
`therefore ((3a)/(3a+28))xx100=72, or, a=24`
therefore, atomic mass of the metal=24.
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