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What is the percentage of nitrogen in an...

What is the percentage of nitrogen in an organic compound `0.14 g` of which gave by Dumas method `82.1 c.c`. Of nitrogen collected over water at `27^(@)C` and at a barometric pressure of `774.5 mm` ? `("aqueous tension of water at" 27^(@)C "is" 14.5 mm)`

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The correct Answer is:
`66.7%`

`n_(N_(2))=(((774.5-14.5))/(760)xx(82.1)/(1000))/(0.081xx300)=3.3786xx10^(-3)` mole
`m_(N_(2))=0.0946gm`
`% N_(2)=(0.0946)/(0.14)xx100=66.7%`
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