Question

What is the effect of temperature on the solubility of $C{O_2}$ in water?

Answer 1

All that you must know is the concept of the effect of temperature on solubility.
In this, we can see what is meant by the effect of temperature on solubility and their effect on carbon dioxide in water.
Also, we can understand when the solubility will increase and decrease with temperature.

Complete answer:
In the presence of $C{O_2}$ gas, hydrate has been measured at temperatures between $273K$and $284{\text{ }}K$, and pressures ranging from $20{\text{ }}to{\text{ }}60{\text{ }}bar$. In the hydrate formation region, the solubility decreases with the decrease in temperature.
As water temperature goes up the solubility of carbon dioxide goes down.
As the solubility of the gas in liquid decreases with the increase in temperature, have a look at the curves for the fractional amount in $C{O_2}$Water equilibrium curves. At acidic pH $C{O_2}$ is freely existent as aqueous $C{O_2}$ gas in the solution in the water. When its solubility decreases and by increasing the temperature $C{O_2}$ gas bubbles on the surfaces of the water in your test container. Since, to conduct your experiment at the high temperature with higher $C{O_2}$ solubility (Which ends in higher bicarbonate ions or higher carbonate ions in the solution), I think this is the only way that you have to increase the pH level.
it is impossible based on Henry's law for gas solubilities and also equilibrium curves for $C{O_2} - \left( {HC{O_3}^ - } \right) - \left( {C{O_3}^{2 - }} \right)$ systems when you want to have higher temperatures and higher $C{O_2}$solubility in acidic conditions.
EFFECT OF TEMPERATURE OF SOLUBILITY:
The solubility increases with temperature for many solids dissolved in liquid water. Higher temperatures allow the solvent molecules to more effectively break apart the solute molecules that are held together by intermolecular attractions that come when kinetic energy is increased.

Note:
The higher temperature of the liquid means that all the particles have more kinetic energy. Gas particles are more likely to break away from bonds they make with the particles of liquid; it means greater kinetic energy. This makes the gases fly out of the liquid. The faster the gases fly out when the temperature is higher.
As the temperature of water goes up the solubility of carbon dioxide goes down.