$0.765 \mathrm{~g}$ of an acid gives $0.535 \mathrm{~g}$ of $\mathrm{CO}_2$ and $0.13 \mathrm{~g}…

$0.765 \mathrm{~g}$ of an acid gives $0.535 \mathrm{~g}$ of $\mathrm{CO}_2$ and $0.13 \mathrm{~g} \mathrm{of}_2 \mathrm{O}$, then ratio of percentage of $\mathrm{C}$ and $\mathrm{H}$ is
  1. 19 : 2
  2. 18 : 11
  3. 20 : 17
  4. 1 : 7

Solution

Given, mass of $\mathrm{CO}_2=0.535$ Mass of compound $=0.765 \mathrm{~g}$ Now, percentage of carbon $ \begin{aligned} & =\frac{\text { weight }}{\text { molecular wt. }} \times \frac{\text { mass of } \mathrm{CO}_2}{\text { mass of compound }} \times 100 \\ & =\frac{12}{44} \times \frac{0.535}{0.765} \times 100 \\ \mathrm{C} & =19.07 \% \\ & =19 \% \end{aligned} $ Similarly, mass of $\mathrm{H}_2 \mathrm{O}=0.13 \mathrm{~g}$ mass of compound $=0.765 \mathrm{~g}$ Now, percentage of hydrogen $=\frac{2}{18} \times \frac{0.138}{0.765} \times 100$ $\% \mathrm{H}=2.00 \%$ $\therefore$ Ratio of $\mathrm{C}$ and $\mathrm{H}$ is $19: 2$ Hence, the ratio of percentage of $\mathrm{C}$ and $\mathrm{H}$ is $19: 2$

Asked in: AP EAMCET 2021 (25 Aug Shift 2)

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