$100 \mathrm{~mL}$ of $0.2 \mathrm{M}$ acetic acid is completely neutralised using a standard solution of…

$100 \mathrm{~mL}$ of $0.2 \mathrm{M}$ acetic acid is completely neutralised using a standard solution of $\mathrm{NaOH}$. The volume of ethane obtained at STP after complete electrolysis of the resulting solution is
  1. $11.2 \mathrm{~L}$
  2. $2.24 \mathrm{~L}$
  3. $0.224 \mathrm{~L}$
  4. $22.4 \mathrm{~L}$

Solution

Given moles of acetic acid $ \begin{array}{r} =\frac{0.2 \times 100}{1000}=0.02 \text { moles } \\ 2 \mathrm{CH}_3 \mathrm{COOH} \longrightarrow \mathrm{C}_2 \mathrm{H}_6+2 \mathrm{CO}_2+\mathrm{H}_2 \end{array} $ 2 moles of $\mathrm{CH}_3 \mathrm{COOH}$ gives 1 mole of ethane $=22.4 \mathrm{~L}$ 0.02 moles of $\mathrm{CH}_3 \mathrm{COOH}$ will give ethane $ =\frac{22.4 \times 0.02}{2}=0.224 \mathrm{~L} $ $\therefore 0.224 \mathrm{~L}$ of ethane is obtained

Asked in: AP EAMCET 2021 (23 Aug Shift 1)

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