I wanted to drink Coca Cola so I filled up my water bottle with the soda in Frank. When I went home, I put the water bottle in the refrigerator and a few hours later, when I opened it, there was a lot of gas released. Thus, I wanted to find the amount of gas released from the bottle. To make the calculations easier, I assumed that when I opened the bottle, all the gas that was in the liquid was released.
There are some unknowns that I had to search up online. There is 2.2 grams of CO2 per 355 milliliters.
Thus, (2.2g CO2/355 mL) X (1000mL/1L) = 6.197 grams of CO2/L
(6.197g CO2/ 1L) X (1 mol CO2/ 44g CO2) = 0.1404 moles of CO2/1L
R= 0.082 L*atm/mols*K
Temperature in the fridge is 40 degrees Fahrenheit2
40 degrees of Fahrenheit X (273.15K/ 32 degrees Fahrenheit)= 313.15K
The dimensions of the bottle are as follows: 10.2 inches height and 2.5 inches in diameter
Volume is 80.11 inches3 = 2.035 meters3 = 1.313 liters3
From these measurements, I can find the pressure of the gas above the liquid.
P= [(.1404 mol)(.082 L*atm/ mols*K)(313.15K)]/ 1.313 L3P= 2.746 atm
The pressure of the gas molecules that escaped the liquid in the bottle is calculated to be, 2.746 atm. Since the pressure of the atmosphere is 1 atm, there was a release of gas from the bottle when it was opened.