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A compound contains 28% of nitrogen and 72% of a metal by weight. 3 atoms of the metal combine with 2 atoms of nitrogen. Find the atomic weight of the metal.

Answer» <html><body><p><br/></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/suppose-656311" style="font-weight:bold;" target="_blank" title="Click to know more about SUPPOSE">SUPPOSE</a>, the symbol of the <a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> metal is M. <a href="https://interviewquestions.tuteehub.com/tag/since-644476" style="font-weight:bold;" target="_blank" title="Click to know more about SINCE">SINCE</a>, 3 atoms of the metal <a href="https://interviewquestions.tuteehub.com/tag/combine-409630" style="font-weight:bold;" target="_blank" title="Click to know more about COMBINE">COMBINE</a> with 2 atoms of nitrogen, the formula of the compound should be `M_3N_2`. Suppose, the atomic mass of M is x. <br/> The <a href="https://interviewquestions.tuteehub.com/tag/molecular-562994" style="font-weight:bold;" target="_blank" title="Click to know more about MOLECULAR">MOLECULAR</a> mass of `M_(3)N_(2) = (3 xx x) + (2 xx 14.01) = 3x + 28.02` <br/> The percentage of nitrogen in `M_(3)N_(2) = (28.02)/(3x + 28.02)xx 100` <br/> Since, the given compound contains 28% of nitrogen, we have <br/> `=(28.02 xx 100)/(3x + 28.02) = 28` <br/> Which gives `x=24.02` <br/> Hence, the atomic mass (weight) of the metal is 24.02 amu.</body></html>


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