The solubility of gases in liquids rises with pressure and decreases with temperature. You would think, that because the bottle is closed system, the pressure inside is constant, therefore by cooling the bottle you would increase the solubility and made it possible for gas to go back into the liquid.
As you have noticed, the walls are getting harder with time, despite the constant temperature in the fridge.
It is because gas is released from the liquid and increases the pressure above the surface.
You could ask, how it is possible? The liquid should have the same pressure as the gas above the surface, and therefore the same should be in the bubbles solved in the liquid.
However, when the gas is in a bubble, the surface tension tries to make the bubble, as small as possible, therefore the pressure in the bubble rises, and is higher than in the gas above the surface.
When the bubble touches the surface, the energy contained by surface tension is released, therefore the probability for a portion of gas to separate ans close itself into a bubble is close to zero.
Therefore, once the liquid releases the gas, your ability to increase amount of gas in the liquid is very small and limited by the temperature changes.
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