During bottlinga carbonated beverage was made by saturatingflavoured water at 0^(@)C with CO_(2) at a pressure of 4.0 atm. Later ,the bottle was opened and the softdrink allowed to come to equilibrium at 25^(@)C with air containing CO_(2) at a pressure of 4.3xx10^(-4) atm. Find the concentration of CO_(2) in the freshly bottled sodaand in the soda after it hadstood open and come to the equilibrium. The Henry's law constants for aqueous solutions fo CO_(2) are : at 0^(@)C, K =7.7xx10^(-2) "mol " L^(-1) "atm"^(-1) "and at" 25^(@)C, k=3.2xx10^(-2) " mol " L^(-1) " atm "^(-1).

During bottlinga carbonated beverage was made by saturatingflavoured w

1.	During bottlinga carbonated beverage was made by saturatingflavoured water at 0^(@)C with CO_(2) at a pressure of 4.0 atm. Later ,the bottle was opened and the softdrink allowed to come to equilibrium at 25^(@)C with air containing CO_(2) at a pressure of 4.3xx10^(-4) atm. Find the concentration of CO_(2) in the freshly bottled sodaand in the soda after it hadstood open and come to the equilibrium. The Henry's law constants for aqueous solutions fo CO_(2) are : at 0^(@)C, K =7.7xx10^(-2) "mol " L^(-1) "atm"^(-1) "and at" 25^(@)C, k=3.2xx10^(-2) " mol " L^(-1) " atm "^(-1).
Answer» Solution :According to Henry'sLaw , C `PROP P " or " C=kp,`where C is the concentration of the gas inthe solution, P is the partialpressure of the gas and K is a constant. (i) For freshly BOTTLED soft drink at `0^(@)C` `p=4.0 atm, k = 7.7 XX 10^(-2) mol L^(-1) atm^(-1)` `:.C= kp = (7.7 xx 10^(-2) mol L^(-1) atm^(-1) ) xx (4.0 atm )=0.31 mol L^(-1)` (ii) For opened soft dring at `25^(@)C` `p=4.0 xx 10^(-4) atm, k = 3.2 xx 10^(-2) mol L^(-1) atm^(-1)` `:.C=kp =(3.2 xx 10^(-2) mol L^(-1) atm^(-1)) xx (4.0 xx 10^(-4) atm) =1.3 xx 10^(-5) mol L^(-1)`