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Q. $0.2\, g$ of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of $N _{2}$ evolved (at STP) was found to be $22.400\, mL$. The percentage of nitrogen in the compound is_____.[nearest integer]
(Given: Molar mass of $N _{2}$ is $28\, mol ^{-1}$. Molar volume of $N _{2}$ at $STP : 22.4\, L$ )

JEE MainJEE Main 2022Organic Chemistry – Some Basic Principles and Techniques

Solution:

weight of organic compound $=0.2\, g$
mass of $ N _{2}( g ) $ evolved $=\frac{22.4 \times 10^{-3}}{22.4} \times 28 $
$=28 \times 10^{-3} g $
$\% $ of $ N =\frac{28 \times 10^{-3}}{0.2} \times 100=14$