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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 ______ \(\mathrm{g} \ \mathrm{mol}^{-1}\).

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Answer is : 100

Organic compound \(\xrightarrow {\text{combustion}} \underset{0.9gm}{H_2O}\) 

\(\therefore\) mole of \(\mathrm{H}_{2} \mathrm{O}=\frac{0.9}{18}=0.05\) mole

\(\therefore\) mole of H in \(\mathrm{H}_{2} \mathrm{O}=0.05 \times 2=0.1\) mole

= mole of H in 0.01 mole Organic compound

\(\therefore \ \mathrm{wt}\) of H atom in 0.01 mole compound \(=0.1 \times 1 = 0.1\ gm\)

\(\therefore\) wt of H atom in one mole compound \(=\frac{0.1}{0.01}=10 \mathrm{gm}\)

\(\because\) wt. \(\%\) of \(\mathrm{H}=\frac{\text { wt. of } \mathrm{H} \text { in one mole compound }}{\text { Molar mass of compound }} \times 1\)

\(10=\frac{10}{M} \times 100\)

\(\therefore \mathrm{M}=100\)

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