An organic compound gives 0.220g of CO2 and 0.126 g of H2O on complete combustion If the % of carbon is 24 then the % hydrogen is ______

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An organic compound gives 0.220g of $C O_{2}$ and 0.126 g of $H_{2} O$ on complete combustion If the % of carbon is 24 then the % hydrogen is _______ $\times 10^{- 1} .$ (Nearest integer)

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answer is 56.

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Detailed Solution

Moles of $C O_{2}$ = $C O_{2} = \frac{0.22}{44} = \frac{1}{200}$
Rate of carbon $\frac{1}{200} \times 12 = 0.06$
Percentage of carbon = $\frac{0.06}{W \times 100} = 24$
$W = 0.25$
Moles of $H_{2} O = \frac{0.126}{18} = 0.007$
Moles of hydrogen atom = $2 \times 0.007 = 0.014$
H percentage = $0.014 \times \frac{1}{w} \times 100$
$= 5.6 = 56 \times 10^{- 1}$