[net.physics] Smothering a Candle

ark (12/23/82)

It is difficult to get through a high school physics course without
seeing the following experiment.  A candle is fixed the bottom of a
basin, and the basin is filled with water.  The candle extends several
inches above the water surface.  The candle is lighted.  A jar is inverted
and placed over the candle, with its mouth touching the water.

The result:  within a few seconds the candle goes out from lack of
oxygen and the water rises an inch or two into the jar.  The
explanation usually given is that the candle has used up the oxygen
in the jar and that the water has risen to take its place.

This explanation is wrong.  Puzzles for the interested reader:
(1) prove that this explanation is wrong.  (2 - extra credit)
supply the correct explanation.

leichter (12/23/82)

Well, the return of an old problem.  The explanation isn't incorrect, it's
just incomplete.  As the candle burns, it converts the oxygen in the jar
into carbon dioxide, and some water vapor.  The actual change in volume
of gas would be complex to calculate, I'd expect - each O2 in the air
that gets turned into CO2 is a 1-1 molecule sway; but the O2 to H2O reaction
is 1 to 4.  HOWEVER, CO2 is quite soluble in water, and the H2O probably
condenses out, too; so the net effect is that these gases disappear from
the gaseous phase into the water, the amount of gas in the jar decreases,
and the water rises.

This explanation is still only approximate, of course; the burning candle
also gives off a lot of complex organic molecules.  There are limits to
physics and chemistry, however...

What's "right" about the standard explanation is that the water does, indeed,
rise to take the place of oxygen that's no longer in the gas; and, in fact,
the amount of rise is about what you'd predict based on the percentage or
\\\of O2 in air.  You can demonstrate that CO2 is going into the water, I
believe, by dissolving lime (not the fruit) in it first; it will then turn
cloudy as CO2 is added.
							-- Jerry
						decvax!yale-comix!leichter
							leichter@yale