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Henry's law constant for CO(2) in water...

Henry's law constant for `CO_(2)` in water is `1.67xx10^(8) Pa` at `298 K`. Calculate the quantity of `CO_(2)` in `500mL` of soda water when packed under `2.5atm CO_(2)` pressure at `298 K`.

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`K_(H)=1.67xx10^(8)"Pa, "p_(CO_(2))="2.5 atm"=2.5xx101325Pa`
`"Applying Henry's law, "p_(CO_(2))=K_(H)xx x_(CO_(2))`
`therefore" "x_(CO_(2))=(p_(CO_(2)))/(K_(H))=(2.5xx101325Pa)/(1.67xx10^(8)Pa)=1.517xx10^(-3)," i.e., "(n_(CO_(2)))/(n_(H_(2)O)+n_(CO_(2)))~=(n_(CO_(2)))/(n_(H_(2)O))=1.517xx10^(-3)`
`"For 500 mL of soda water, water present "~="500 mL = 500 g "=(500)/(18)="27.78 moles"`
i.e.,` n_(H_(2)O)="27.78 moles"`
`therefore (n_(CO_(2)))/(27.78)=1.517xx10^(-3)or n_(CO_(2))=42.14xx10^(-3)" mole = 42.14 m mol "=42.14xx10^(-3)xx44g=1.854g.`
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