CO _ 2 gas is bubbled through water during a soft drink...

${CO}_{2}$ gas is bubbled through water during a soft drink manufacturing process at $298K$ . If ${CO}_{2}$ exerts a partial pressure of $0 . 835bar$ then $xmmol$ of ${CO}_{2}$ would dissolve in $0 . 9L$ of water. The value of $x$ is _______. (Nearest integer)

(Henry's law constant for ${CO}_{2}$ at $298K$ is $1 . 67 \times {10}^{3}bar$ )

Correct answer

Step-by-step solution

From Henry's law

${P}_{gas} = {K}_{H \cdot}{X}_{gas}$

$0 . 835 = 1 . 67 \times {10}^{3} \times \dfrac{n\left({CO}_{2}\right)}{\dfrac{0 . 9 \times 1000}{18}}$

$n\left({CO}_{2}\right) = 0 . 025$

Millimoles of ${CO}_{2} = 0 . 025 \times 1000 = 25$

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