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In Dumas’ method for estimation of nitrogen \(0.4\mathrm{g}\) of an organic compound gave \(60\mathrm{mL}\) of nitrogen …

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In Dumas’ method for estimation of nitrogen \(0.4\mathrm{g}\) of an organic compound gave \(60\mathrm{mL}\) of nitrogen collected at \(300\mathrm{K}\) temperature and \(715\mathrm{mm}\) Hg pressure. The percentage composition of nitrogen in the compound is
(Given : Aqueous tension at \(300\mathrm{K}=15\mathrm{mm}\mathrm{Hg}\))

[JEE Main 2025, 3 Apr (Shift 2)]

a

\(15.71%\)

b

\(20.95%\)

c

\(17.46%\)

d

\(7.85%\)

✓ Correct answer: a)

\(15.71%\)

Explanation

Pressure of N₂ gas evolved

\(=715−15=700\text{ mm Hg}\) \(=\frac{700}{760}\text{ atm}\)

Moles of N₂ evolved:

\(n=\frac{PV}{RT}\) \(=\frac{700\times 60\times {10}^{−3}}{760\times 0.0821\times 300}\) \(=0.0022\text{ mol}\)

Mass of N₂ evolved:

\(=0.0022\times 28=0.063\text{ g}\)

Weight percentage of nitrogen in the compound:

\(\mathrm{%}N=\frac{\text{wt. of nitrogen}}{\text{wt. of compound}}\times 100\)% \(=\frac{0.063}{0.4}\times 100\) = 15.71%​​

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