leo- General estimates have placed a can of Coca-Cola to
leo- General estimates have placed a can of Coca-Cola to have 2.2 grams of CO2 in a single can. As a can is around 12 fluid ounces, or 355 ml, the amount of CO2
in a can is:
2.2 g CO2∗1 mol CO244 g CO2=0.05 mol
355 mL∗1 L1000 mL=0.355 L
So here we can see we have about 0.05 mol/0.355 L or about 0.14 mol of carbon dioxide per liter of soda. Of course this value varies by manufacturer, type of drink, container, etc.
Looking at Wikipedia, inside Coca-Cola is:
Carbonated water, Sugar (sucrose or high-fructose corn syrup depending on country of origin), Caffeine, Phosphoric acid, Caramel color (E150d), Natural flavorings
A can of Coke (12 fl ounces/355 ml) has 39 grams of carbohydrates (all from sugar, approximately 10 teaspoons), 50 mg of sodium, 0 grams fat, 0 grams potassium, and 140 calories.
Thus, we can calculate the pressure of CO2
gas using the Ideal Gas equation if we store our coke at, say, 20 Celsius:
P=nRTV
P=0.05 mol∗0.08206L⋅atmmol⋅K∗293.15 K0.355 L
P=3.39 atm
According to this website, hypertextbook.com/facts/2000/SeemaMeraj.shtml:
On average, the 12 ounce soda cans sold in the US tend to have a pressure of roughly 120 kPa when canned at 4 °C, and 250 kPa when stored at 20 °C.
3.39 atm∗760 torr1 atm∗133 Pa1 torr∗1 kPa1000 Pa=342.66 kPa
Water vapor exerts it's own partial pressure. Looking at standard tabulated values for water vapor pressure, water exerts a pressure of 17.5 torr at 20 Celsius.
17.5 torr∗133 Pa1 torr∗1 kPa1000 Pa=2.3275 kPa
Knowing that our total pressure is the sum of all our pressures:
Ptotal=342.66 kPa+2.3275 kPa=344.99 kPa
Here, we are roughly about 100 kPa off from the data provided by the website. This is just an approximation. A more accurate way would be to calculate the moles of each product inside the soda, and knowing the total pressure or partial pressure of one of the parts, we can calculate the pressures more accurately. However, that information is proprietary. It's their secret recipe!
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