Q22 / 160 · TS EAMCET 2022 (19 Jul Shift 2) · Chemistry

Calculate the quantity of $\mathrm{CO}_2$ required to prepare $1 \mathrm{~L}$ of soda water when the soda water was packed under $2 \mathrm{~atm}$ of $\mathrm{CO}_2$. [Henry's law constant for $\mathrm{CO}_2$ is $1.67 \times 10^8 \mathrm{~Pa}$ ]

  • A
    5.98 g
  • B
    1.21 g
  • Correct answer
    C
    2.9 g
  • D
    67.1 g

Solution

According to Henry's law; $$ \begin{aligned} & \mathrm{x}=\frac{\mathrm{P}}{\mathrm{K}_{\mathrm{H}}}=\frac{2 \times 1.013 \times 10^5}{1.67 \times 10^8} \\ & \frac{\mathrm{n}_{\mathrm{co}_2}}{1000 / 18}=\frac{2 \times 1.013}{1.67 \times 1000} \\ & \mathrm{n}_{\mathrm{co}_2}=\frac{2 \times 1.013}{1.67 \times 18} \Rightarrow \text { moss of } \mathrm{CO}_2 \text { dissolved } \\ & =\frac{2 \times 1.013 \times 44}{1.67 \times 18}=2.9 \mathrm{~g} \end{aligned} $$

Hence, the correct answer is option: 'C'.

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