What happens to the solubility of CO2 in sparkling water when room temperature sparking water is placed in an ice cooler?

Explanation:

The solubility of the substances is dependent on temperature.

Some solid solutes in liquid solvents show an increase of solubility with the temperature, while others will show a decrease of solubility when the temperature increase.

In gases it is different: all gases will be more soluble in liquids at low temperatures than at higher temperatures.

This is explained in terms of kinetic energy: at higher temperatures the kinetic energy of the gas molecules will be higher than at lower temperatures. The increased kinetic energy of the gas molecules means that they will be moving quicker and more easily break the intermolecular bonds, escaping from the liquid phase. Hence, at higher temperature less molecules of gas will remain in solution.

The attached graph, modified from a graph found in the internet, shows the relationship of the solubility of CO₂ gas with the temperature: as the temperature increases, the solubility of the gas decrease.

c. heat could easily travel through the molecules in the air and escape/enter the flask. removing the air slows down the heat transfer.  

you need to stop taking that class