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QJEEM25Ch2f83: JEE Main 2025 Chemistry - Class 11 JEEM25Ch2f83 Solution: 0.01 mole of an organic compound containing hydrogen, on…

0.01 mole of an organic compound (X)(X) containing 10%10 \% hydrogen, on complete combustion produced 0.9 gH2O0.9 \mathrm{~g} \mathrm{H}_2 \mathrm{O} . Molar mass of (X)(\mathrm{X}) is _________ g mol−1\mathrm{g} \mathrm{~mol}^{-1} .

Step-by-Step Verified Solution

Organic compound → combustion H2O0.9gm\xrightarrow{\text { combustion }} \underset{\substack{0.9 \mathrm{gm}}}{\mathrm{H}_2 \mathrm{O}}

amp;∴ mole of H2O=0.918=0.05 mole amp;∴ mole of H in H2Oamp;=0.05×2=0.1 mole amp;= mole of H in 0.01 mole amp; Organic compound \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}

amp;∴ wt of H atom in 0.01 mole compound amp;=0.1×1amp;=0.1gmamp;∴ wt of H atom in one mole compound amp;amp;=0.10.01=10gmamp;∵ wt. % of H= wt. of H in one mole compound  Molar mass of compound ×1amp;10=10M×100amp;∴M=100\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}

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