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  • Calculate the quantity of at 1 L of soda water when packed under 3.8 atm <img alt="\m

Calculate the quantity of \mathrm{CO}_2 at 1 L of soda water when packed under 3.8 atm \mathrm{CO}_2 pressure at 298 k with henry's law constant for \mathrm{CO}_2 in water is 1.84 \times 10^8 \mathrm{~Pa} at 298 k 

Option: 1

13.2 \times 10^{-3} \mathrm{mol}^{-1}


Option: 2

15.6 \times 10^{-2} \mathrm{mol\: L}^{-1}


Option: 3

18.6 \times 10^{-1} \mathrm{mol\;L}^{-1}


Option: 4

11.1 \times 10^{-2} \mathrm{mol\: L}^{-1}


Answers (1)

best_answer

\mathrm{\mathrm{ X_{gas} }= \frac{P}{K_H}=\frac{3.8 \times 10^5}{1.84 \times 10^8}=2 \times 10^{-3}}

\mathrm{\frac{n}{n+N}=x}

\mathrm{\frac{n}{N}=x}

\begin{aligned} &\mathrm{ n<<N\:\: \: \: \: \: \: \: n+N \approx N} \\ & \therefore \mathrm{\frac{n}{55.55}}=2 \times 10^{-3} \end{aligned}

\text{n}=11.1 \times 10^{-2} \mathrm{mol\: L}^{-1}

Posted by

Kuldeep Maurya

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