if I put four ice cubes in a glass of iced tea

that some of those ice molecules

might have been ice molecules

in the iceberg that sank the Titanic.

The Titanic Iceberg was higher than the
deck of the Titanic.

(Passengers played with the ice after the collision.)

That deck was at
least six meters high

(This is a *very *safe guess, only about
twenty
feet).

Arctic Icebergs are 6/7 submerged.

( Arctic and Antarctic icebergs have different
densities!)

Therefore the iceberg might have been
about 42 meters tall top to
bottom.

\Let's suppose that the iceberg had an average cross section of
a ten meter square.

(Reports say it was a small iceberg, but this would
be tiny, a conservative guess)

The volume of this iceberg would be roughly
4,200 cubic meters of ice (10 X10 X 42)

It would take about 238,095 such icebergs

to make up one cubic kilometer of water.

(1,000,000,000 / 4,200 = 238,095.2381) (I
am ignoring
the density of ice being .9 that of water,

but I think I still have many orders of magnitude to burn. A
cubic kilometer has

1,000 X 1,000 X 1,000 or a(n American) billion cubic meters in it)

There are 1,444,300,000 cubic kilometers of surface water on Earth (Encyclopedia).

The Titanic Berg tied up about 1 /
343,880,952,400,000

of all the surface water on Earth.

(1 / (238,095 X 1,444,300,000))

Approximately 1 / 3.438806085 X 10^14 of all water molecules on Earth were in the iceberg that ran afoul the Titanic. This number can also be expressed as .000000000000002907983106, or 2.907983106 X 10^-15

each about 4 cm on a side. That is 256 cm^3 of ice.

(4 X 4 X 4 X 4) That is 230 cm^3 of water (256 X .9 = 230.4)

and, not coincidentally, 230 g of water.

The molecular weight of water is 18 (16[O] + 2 X (1[H])).

There is one mole of water molecules in 18 g of water (This is the definition of a mole), there are 12.8 moles of water in our ice cubes (230 / 18 = 12.7777...)

There are 6.02 X 10^23 molecules in a mole

(This is called Avogadro's Number, and it can also
look
like this:

602,000,000,000,000,000,000,000),

there are 7.7 X 10^24 molecules in our ice cubes.
(12.8
X Avogadro's Number

and it can be written, 7,700,000,000,000,000,000,000,000)

The number of molecules in our ice cubes
that represents
the proportion of the Titanic's berg to the total water on earth is:

7.7 X 10^24 / 3.438806085 X 10^14 = 2.239149231 X
10^10

or 22,391,492,310.

This assumes that the composition of our
ice cubes is
representative

of the composition of all the water on the surface
of
the Earth,

This requires that the iceberg, on melting, and
over
the last almost 90 years, has distributed itself evenly through all the
waters of Earth. This is unlikely, it is more likely to be mostly in
the
Northern Hemisphere (Less than 1/2 the water on Earth is in the
Northern
hemisphere). Also, let's suppose that most of the iceberg, as it
melted,
mixed with the ocean, and has never evaporated, we still have orders of
magnitude (Powers of ten) to burn, suppose 1% of 1% of 1% evaporated,
we
are still left with 2.2 X 10^4 (22,000) molecules in four ice cubes.

That's what I think. What do you think?

With some trepidation and much humility
for my efforts and any possible errors or oversights herein, I dedicate
this calculation to Cesare Emeliani, once my geology teacher at the
University of Miami, who several times performed amazing feats with
large and small numbers. Once he memorably came up with what
could possibly pass as the largest meaningful number in the
Universe. Very cool!

The very cool wallpaper is from

Slide
Rule Universe