This demonstration is based upon Archimedes’ principle, which is depicted by the following demonstration, 36.36 -- Archimedes’ principle, and which claims that a human body wholly or partially immersed in a liquid experiences one upwards force, or a buoyant force, equal to the weight of the fluid it displaces. If the immersed thing is denser 보다 the fluid, gravity exceeds the buoyant force, and also the object sinks. If the thing is less thick than the fluid, the thing floats to a level wherein the buoyant force balances gravity. The idea behind this show is that continuous Coca-Cola includes 39 g the sugar per 355 ml soda, but, since the sweetener in Diet Coke is so much sweeter 보다 sugar, there is much much less of the in the Diet Coke than there is street in continuous Coke. Diet Coke should thus be less thick than consistent Coke. The full volume of a Coke can (of either variety) is 380 cm3. If the matching volume of water weighs simply slightly much more than the can does, climate if us immerse the deserve to in the tank that water, the floats. In various other words, the mass of the can must it is in somewhat much less than (1.0 g/cm3)(380 cm3) = 380 g. The deserve to of Diet Coke shown over has a massive of about 370 g, together does a second spare can. Its as whole density is 370 g/380 cm3, or 0.97 g/cm3. This 3% distinction in thickness as contrasted to the of water is enough to permit the can to float as in the picture above.
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Each can of continuous Coke right now on hand has a massive of around 384 g. The difference that this represents with respect to the density of water – about 1.0% – is sufficient to sink the can. (Actually, if the thickness of the deserve to plus materials is the slightest bit higher than the of water, the deserve to will sink.)
If the fluid in the tank were thick enough, both cans would float. Come this end, this demonstration includes a manufacturer of salt and a big stirring rod. By adding salt come the tank, you deserve to increase the density of the water (which is currently salt water). A 1.5% (wt/wt) salt solution has a density of 1.0107 g/cm3. Because that the 15-liter tank, this would certainly be about 225 g that salt. So any salt concentration better than this should be enough to progressive the deserve to of consistent Coke. To be safe, the manufacturer contains about 275 grams the salt, which is an ext than enough to raise the most difficult Coke can listed above. To dissolve every the salt, you should stir the water quite vigorously, because that which you can use the big stirring rod.
A feeling note:
After one class session that had this demonstration, I uncovered the Diet Coke floating in caramel-colored water, and also the north Coke have the right to beside the tank. A student had asked if pouring the continual Coke right into the water could raise the have the right to of Diet Coke above where it had actually been floating. Pouring 355 ml the Coke right into the 15-liter tank diluted that by a element of 45, so any readjust it made to the density of the water would have been minuscule. In ~ the time, because that some reason I had actually no spare can be ~ of Coke. So i bought a 12-pack that Coke, and brought in numerous cans in ~ random. The following time someone asked for this demonstration, I came in in ~ the finish of course to find, to my chagrin (and, I’m sure, the professor’s together well), both the Diet Coke and also regular Coke can be ~ floating! (He had not added the salt come the tank.) i then tried every the cans in the 12-pack, and I discovered that about half of them sank, and fifty percent of castle floated.
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The soda can be ~ are sold as include 12 ounces, or 355 ml, the liquid. This leaves simply under 25 ml head space. The can itself is around 13 g. The 39 g of sugar in 355 ml Coke is around 11%. According to the tables in 51st execution of the CRC Handbook that Chemistry and sdrta.net, one 11% equipment of either furustos or sucrose has a thickness of slightly greater than 1.04 g/ml (1.045 because that fructose and 1.044 for sucrose). We might reasonably suppose that the street in Coke should bring its density near this. Liquified carbon dioxide, in both Diet and regular Coke, probably also changes the density. If we use a density of 1.045 g/ml for the Coke, 355 ml has a fixed of 371 g. Adding 13 g for the have the right to brings this to 384 g, for an overall density of 1.01 g/ml, enough to sink the can. (Any mass over about 380 g will sink the can, as provided above.) as the measure up masses the the Coke can be ~ indicate, there is some variation in one of two people the thickness of the Coca-Cola itself, or the volume yielded to every can. Also, the mass of the can may vary somewhat (the ones ns measured were somewhere in between 12 and 13 g), and also it is also possible that the all at once size of the can can vary slightly. Thus, the is feasible – also likely – to discover cans of continual Coke that are the same density as water or less, and also that float as a result.