0.01 mole of an organic compound $(X)$ containing $10 \%$ hydrogen, on complete combustion produced $0.9 \mathrm{~g} \mathrm{H}_2 \mathrm{O}$. Molar mass of $(\mathrm{X})$ is _________ $\mathrm{g} \mathrm{~mol}^{-1}$.
Answer (integer)
100
Solution
<p>Organic compound $\xrightarrow{\text { combustion }} \underset{\substack{0.9 \mathrm{gm}}}{\mathrm{H}_2 \mathrm{O}}$</p>
<p>$$\begin{aligned}
& \therefore \text { mole of } \mathrm{H}_2 \mathrm{O}=\frac{0.9}{18}=0.05 \text { mole } \\
& \begin{aligned}
\therefore \text { mole of } \mathrm{H} \text { in } \mathrm{H}_2 \mathrm{O} & =0.05 \times 2=0.1 \text { mole } \\
& =\text { mole of } \mathrm{H} \text { in } 0.01 \text { mole } \\
& \text { Organic compound }
\end{aligned}
\end{aligned}$$</p>
<p>$$\begin{aligned}
&\begin{aligned}
\therefore \text { wt of } \mathrm{H} \text { atom in } 0.01 \text { mole compound } & =0.1 \times 1 \\
& =0.1 \mathrm{gm}
\end{aligned}\\
&\therefore \text { wt of } \mathrm{H} \text { atom in one mole compound }\\
&\begin{aligned}
& =\frac{0.1}{0.01}=10 \mathrm{gm} \\
& \because \text { wt. } \% \text { of } H=\frac{\text { wt. of } H \text { in one mole compound }}{\text { Molar mass of compound }} \times 1 \\
& 10=\frac{10}{M} \times 100 \\
& \therefore M=100
\end{aligned}
\end{aligned}$$</p>
About this question
Subject: Chemistry · Chapter: Some Basic Concepts of Chemistry · Topic: Mole Concept
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