Chapter 5, Problem 104E

In the “Méthode Champenoise,” grape juice is fermented in a wine bottle to produce sparkling wine. The reaction is

${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}\left(aq\right)\to {\text{ 2C}}_{\text{2}}{\text{H}}_{\text{5}}\text{OH}\left(aq\right)+{\text{ 2CO}}_{\text{2}}\left(g\right)$

Fermentation of 750. mL grape juice (density = 1.0 g/cm³) is allowed to take place in a bottle with a total volume of 825 mL until 12% by volume is ethanol (C₂H₅OH). Assuming that the CO₂ is insoluble in H₂O (actually, a wrong assumption), what would be the pressure of CO₂ inside the wine bottle at 25°C? (The density of ethanol is 0.79 g/cm³.)