Henry's law constant for CO ₂ in water is 1.67 10^8 ~Pa . Calculate the approximate quantity of CO ₂ in 500 ~mL of soda water when packed under 5 ~atm CO ₂ at 298 ~K .

Step-by-step solution

Henry's law is applicable for gas, it states that the amount of dissolved gas in a liquid is proportional to its partial pressure above the liquid. We know that, formula of Henry law is aligned p & =K_ H & = 5 1.013 10^5 1.67 10^8 n_ OO ₂ 500 / 18 & = 5 1.013 1.67 1000 n_ CO ₂ & = 5 1.013 500 1.67 18 n_ CO ₂ & = 2500 1.67 1.013 18 aligned Now, mass of CO ₂ dissolved = 2500 1.67 1.013 44 18 =3.7 ~g .