The
Kinetic Theory of Matter is the assumption that particles of matter in any
state are in constant, vigorous motion and that this motion generates heat, and
the theory also describes phase changes (Liboff, KT: CQRD; MG-H Encyc.)
Evaporation is the process in which molecules on or very near the surface of a liquid gains enough speed to enter the gaseous state (“Evaporation, Wikipedia”). However, there are strong attractive forces between liquid molecules, so if one leaves the surface, the forces draw it back in, unless its kinetic energy, i.e.: speed and heat, is high enough (Corey, Physics…) In other words, the process removes molecules of the highest kinetic energy from the surface, and leaves behind those with lower KE, and therefore, a cooler liquid (MacMillan Encyc.), although the effect applies to organisms as well. In even simpler terms, evaporation is cooling process.
My
problem is to try to figure out, for myself, some formula pertaining to the
effect temperature has on the rate of evaporation of dihydrogen monoxide. I
chose this subject for two reasons;
1-
I
wanted to know for my own sake because the water in my aquarium seems to
evaporate pretty quickly, and I’d like to know if I can do anything about it
without freezing my fish (I know this will probably be more trouble than it’s
worth).
2-
”Crawfish Power Output” probably
wouldn’t have worked out too well…
My
hypothesis is that the rate of evaporation will increase along with temperature
(surprise surprise…) and that I will not find any kind of accurate (or good)
formula for this without involving surface area and surface tension as well
(these are other factors in the existing formula.)
Although including surface
area wouldn’t be a problem, as I’m going to use the same container throughout
the project, so the only thing I have to worry about is temperature (like do I
preheat the hotplate and then put the beaker of water on it or do I heat the
plate with the beaker already present?)
-A
hotplate (a)
-A
beaker (b)
-150
ml of water (c)
-A
computer (d)
-Logger
Pro program (e)
-A
Data probe (f)
-A
Precision balance (scale) (g)
-First,
the weight was taken of the beaker with the probe in it
-Then
water was added in and the whole thing was set on the hotplate and left to
boil.
-When
the water was boiling, the experiment was moved from the hotplate to the scale,
and the initial weight and temperature were recorded.
-The Logger program took temperature readings every 100 seconds, and I took weight readings every 300 seconds. This went on for 3900 seconds.
Time in sec Temp
in C Wgt
total in kg Wgt Water in kg
0 67.223 0.43505 0.15189
100 62.778
200 58.334 0.43193 0.14877
300 54.445
400 51.389
500 50.556 0.43 0.14684
600 48.334
700 44.445
800 42.5 0.42897 0.14581
900 40.834
1000 39.445
1100 39.167 0.42824 0.14508
1200 37.222
1300 36.667
1400 35 0.42771 0.14455
1500 34.722
1600 34.167
1700 32.778 0.4273 0.14414
1800 34.167
1900 31.667
2000 31.667 0.42698 0.14382
2100 30.833
2200 30.556
2300 30 0.42674 0.14358
2400 29.722
2500 29.445
2600 29.167 0.42649 0.14333
2700 31.945
2800 28.333
2900 28.333 0.42635 0.14319
3000 26.945
3100 30.556
3200 27.222 0.42621 0.14305
3300 28.889
3400 26.667
3500 30 0.42606 0.1429
3600 25.833
3700 26.667
3800 26.389 0.42595 0.14279
3900 29.167 0.42591 0.14275
Looking
at the graph, it’s evident that the rate of evaporation decreases seemingly
exponentially as the water cools (this is shown by the water’s weight
decreasing).
Interestingly, the weight appears to increase at several points. I say “appears to” because it obviously isn’t increasing as it evaporates, that would be like heating up an ice cube only to have it expand. The increase in weight is most likely one of the following; vapor condensing on the glass, the probe shifting (this was shown to change the weight), or a combination of both.
Murray's Note - I took his data and
subtracted subsequent masses and graphed the rate of mass change with time,
versus the temperature. There seems to be quite a striking relationship.
As hypothesized, the water was
evaporating faster at the higher temperatures, and I found not only no accurate
formula, but no formula at all. These were both 99.9% expected results and
pretty much speak for themselves.
The experiment may have been more successful had I used a better scale, as the one in the experiment had a maximum weight capacity of one kg so I was very restricted in the amount of water I could work with. This would be a first-priority acquisition were I to repeat this project.
Author
unknown “Evaporation - Wikipedia, the free encyclopedia”, 27 October, 2004,
http://en.wikipedia.org/wiki/Evaporation
Corey,
Paul F. Physics: Principles with applications 5th Edition.
Upper Saddle River, NJ: Prentince Hall, 1998
MacMillan
Encyclopedia of Physics, 1996. Volume 2, “Evaporation”
McGraw-Hill
Encyclopedia of Science & Technology, 2002. Volume 9, “Kinetic Theory of Matter”
Liboff,
R.L. Kinetic Theory: Classical, Quantum, and Relativistic Description 2nd
Edition, 1998