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JEE MAIN 2023
13-4-23_S1
Question
An organic compound gives 0.220 g of CO2 and 0.126 g of H2O on complete combustion. If the % of carbon is 24 then the % hydrogen is ____ × 10–1. (Nearest Integer)
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Sol. $$ \begin{aligned} & \text { Moles of } \mathrm{CO}_2=\frac{0.22}{44}=\frac{1}{200} \\ & \therefore \text { Moles of carbon } \\ & =\left(\text { Moles of } \mathrm{CO}_2\right) \times 1=\frac{1}{200} \\ & \therefore \text { wt. of } \mathrm{C}=\frac{1}{200} \times 12=0.06 \\ & \% \text { of } \mathrm{C}=\frac{0.06}{\mathrm{~W}} \times 100=24 \\ & \begin{aligned} (\mathrm{W}=\text { Wt. of Organic Compound }) \\ \mathrm{W}=0.25 \end{aligned} \\ & \text { Moles of } \mathrm{H}_2 \mathrm{O}=\frac{0.126}{18}=0.007 \\ & \therefore \text { Moles of atom }=2 \times 0.007=0.014 \\ & \% \text { of Hydrogen }=\frac{0.014 \times 1}{\mathrm{~W}} \times 100 \\ & \qquad=\frac{0.014 \times 1}{0.25} \times 100=5.6 \\ & =56 \times 10^{-1} \end{aligned} $$
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