During estimation of nitrogen by Dumas' method of compound $\mathrm{X}(0.42 \mathrm{~g})$ : _____ mL of…

During estimation of nitrogen by Dumas' method of compound $\mathrm{X}(0.42 \mathrm{~g})$ :

_____ mL of $\mathrm{N}_2$ gas will be liberated at STP. (nearest integer)
(Given molar mass in $\mathrm{g} \mathrm{mol}^{-1}: \mathrm{C}: 12, \mathrm{H}: 1$, $\mathrm{N}: 14)$

Solution

M.wt. of given compound $=86$

Applying POAC on ' N '
$\begin{aligned}
& \mathrm{n}_{\mathrm{X}} \times 2=\mathrm{n}_{\mathrm{N}_2} \times 2 \\
& \frac{0.42}{86}=\mathrm{n}_{\mathrm{N}_2} \\
& \Rightarrow(\text { Volume })_{\mathrm{N}_2} \text { at } \mathrm{STP}=\frac{0.42}{86} \times 22.4 \mathrm{~L} \\
& =0.1108 \mathrm{~L}=110.8 \mathrm{~m} \ell
\end{aligned}$

Asked in: JEE Main 2025 (03 Apr Shift 1)

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