From the equation for density p = m/v, we see density is mass divided by volume. Coca Cola contains 39 grams of sugar, while diet Coca Cola contains 0.3 grams of aspartame. A can of Coca Cola or diet Coca Cola is 12 fluid ounces, this is the volume. If we convert 12 fluid ounces to millimeters, we get 355 mL. So, to determine the density of the two cans of soda, we need to know how many grams are in the regular can and in the diet can? Water has a density of 1.0 g/mL. It is estimated a can of Coca Cola (regular) contains 325 mL water, or 325 g of water. Therefore, density of regular Coca Cola equals, (325g + 39g)/355 mL, or 1.03 g/mL(rounded to two decimal places). However, because the diet Coca Cola only contains 0.3 grams of aspartame, it is entirely almost all water, typically cited as around 99% percent water. So, the density of diet Coca Cola is equal to, roughly 355 g/355 mL, or close to the same as water, around 1.0 g/mL. …show more content…
The diet Coca Cola ends up being very close to the density of water, if only a little denser since it is 99% water, and therefore