I did a lab where I tested the solubility of carbon dioxide in water at different temperatures. I took 50 mL of carbonated water at different temperatures and then I titrated that with sodium hydroxide solution. The indicator I used was phenolphthalein with an endpoint of 8.3 pH. I'm unsure how to calculate the amount of carbon dioxide that was dissolved. I'm stuck about deciding which equation to use.
This equation would mean that there is a 1:1 ratio. $$\ce{CO2(aq) + NaOH(aq) → NaHCO3(aq)}$$ And this equation would mean that there is a 1:2 ratio.
$$\ce{CO2(aq) + H2O(l)->H2CO3(aq)}$$ $$\ce{H2CO3(aq) + 2NaOH(aq)->2H2O(l) + Na2CO3(aq)}$$
Which one would be the correct equation to use?
Also, there are literature values for the solubility of carbon dioxide in water at different temperatures. Do those solubility values apply to my lab? I ask this because I measured the amount of carbon dioxide present in a given amount of carbonated water, I didn't add carbon dioxide to pure water to measure how much can actually dissolve.