Abstract: The condensation of chemical species of high molecular
mass such as methane, ammonia, and water can inhibit convection in the
hydrogen-helium atmospheres of the giant planets. Convection is inhibited
in Uranus and Neptune when methane reaches an abundance of
about 15 times the solar value and in Jupiter and Saturn if the abundance
of water is more than about five times the solar value. The temperature
gradient consequently becomes superadiabatic, which is observed in temperature
profiles inferred from radio-occultation measurements. The
planetary heat flux is then likely to be transported by another mechanism,
possibly radiation in Uranus, or diffusive convection.
What does all that mean? A certain kind of circulatory motion is
necessary in order that a magnetic field may reverse in time, that is, that
the north and south magnetic poles flip. (What is needed is a ring of circulating
cylinders, each turning in a direction opposite its neighbor.)
What the results of this paper imply, if correct, is that in the giant gaseous
planets, at least, such reversals will be fought by the heavy gasses in the
atmosphere. It does not mean that further down such cells may not exist,
but it does make that less likely. Such cells cannot exist in the earth
where an even more unlikely electrical current, a spiraling loop, is
needed.
On the volume of a bath continued
In issue number 62, (1992) we printed an article dealing with the size
of biblical units of measurements, particularly, the cubit and the bath. At
that time we deduced that the bath was 37 liters if the molten sea which
Solomon built for the temple was a cylinder. Subsequently, Dr. John Byl
questioned that assumption (No. 73, 1995) and pointed out a computa
tional error in that original paper (the bath, for a cylindrical sea, would be
0.114 baths per cubic cubit, amounting to 10.9 liters, not 37 liters). The
relevant portions of scripture are I Kings 7:23-26 which describes the
molten sea thusly:
23 And he made a molten sea, ten cubits from the one brim to theÿother: it
was round all about, and his height was five cubits: andÿa line of thirty
cubits did compass it round about.
24 And under the brim of it round about there were knops compassing it,
ten in a cubit, compassing the sea round about: theÿknops were cast in two
rows, when it was cast.
25 It stood upon twelve oxen, three looking toward the north, andÿthree
looking toward the west, and three looking toward theÿsouth, and three
looking toward the east: and the sea was setÿabove them, and all their
hinder parts were inward.
26 And it was an hand breadth thick, and the brim thereof wasÿwrought
like the brim of a cup, with flowers of lilies: it containedÿtwo thousand
baths.
II Chronicles 4:2-5 also describes the molten sea:
2 Also he made a molten sea of ten cubits from brim to brim,ÿround in
compass, and five cubits the height thereof; and a line ofÿthirty cubits did
compass it round about.
3 And under it was the similitude of oxen, which did compass itÿround
about: ten in a cubit, compassing the sea round about.ÿÿTwo rows of oxen
were cast, when it was cast.
4 It stood upon twelve oxen, three looking toward the north, andÿthree
looking toward the west, and three looking toward theÿsouth, and three
looking toward the east: and the sea was setÿabove upon them, and all
their hinder parts were inward.
5 And the thickness of it was an handbreadth, and the brim of itÿlike the
work of the brim of a cup, with flowers of lilies; and itÿreceived and held
three thousand baths.
In a series of 1977 papers, Zuidhof12 reports on archaeological find
ings of these units of measurement. He reports the following values:
1 cubit = 51.8 cm = 20.4 inches = 7 handbreadths
1 bath = 3600 cubic fingers = 22.8 liters.
1 temple cubit = 7 handbreadths = 28 fingers.
Talmud states 1 bath = 22.9 l.
Albright, from a broken-off top of a 1 bath jar (so inscribed) gives 1
bath = 22 l.
Reconstruction of two 2-bath jars at Lachish gives 22.7 l for one and
23.3 for the other.
Just how consistent are all these measurements? Well, consider that
there seemed to have been two cubits, the standard one for commerce,
which is about 18.5 inches, or 47 cm., and the royal or temple cubit
which is the 7 handbreadth cubit mentioned by Zuidhof. Let's assume
that the larger cubit was used for the molten sea. The outer circumference
of the sea (under the brim) was 30 cubits, giving a diameter of
30/p = 9.55 cubits. The radius is half that or 4.77 cubits. The wall of the
sea was an handbreadth which is a seventh of a temple cubit and so is
0.14 cubit. Thus the inner radius of the molten sea is 4.77-0.14 cubits or
4.63 cubits. If the molten sea is a cylinder then it holds more water than a
hemisphere, the alternative shape and the one mentioned by Josephus
(see Byl's paper above). Doing so will give us the largest volume of
water for a bath by letting the 3000 (or 2000) baths hold a maximum
amount of water. Lastly, let's assume that the temple cubit is 52 cm. as
indicated by Zuidhof (rounding up).
Under those assumptions, the volume of the molten sea is 327.3 cubic
cubits or 46,021,000 cm3 or 46,021 liters. Divide this by 3000 gives 15.3
liters per bath or, if we use 2,000 baths as the volume, we get 23.0 liters
per bath. The 2,000-bath figure of 1 Kings seems correct with the 3,000
bath figure of 2 Chronicles apparently in error. But there is enough uncertainty
in the bath to allow the 3,000 bath figure to stand. Nevertheless,
Jim Hanson, some twenty years ago, looked at the difference and computed
what volume of grain the sea could hold if it is piled up above the
brim in a cone to overflowing. Given the observed angle with which a
file of grain will support itself, it is possible that the 2,000 bath figure is
liquid measure while the 3,000 baths refer to dry measure.
NOTES AND REFERENCES
1
From: Recreations in Mathematics and Natural Philosophy: containing
amusing dissertations and enquiries concerning a variety of subjects
the moset remarkable and proper to excite curiosity and attention
to the whole range of the mathematical and philosophical
sciences. M. Ozanam. Enlarged by M. Montucla. Translated into
English by Chas. Hutton. Vol. 4 (of 4). (London: G. Kearsley), 1803.
Pp. 40-42.
2
Scott, D., J. Silk and M. White, 1995. From Microwave
Anisotropies to Cosmology, Science, 268(5212):829-835.
3
Bahuhl, M., et al. 1995. Dust measurements at high ecliptic
latitudes, Science, 268(5212):1016-1019.
4
Corliss, Wm., 1995. Remnants of Tunguska, Huge Fireball Explosion
in 1994, and A Tunguska-like Blast in Brazil, Science Frontiers,
No. 102, Nov-Dec, pp. 1 and 3. The publication is produced by
The Sourcebook Project, P.O. Box 107, Glen Arm, MD 21057,
U.S.A.
5
Anon., 1995. Remnants of Tunguska, Astronomy, 23:26. Oct.
6
Steel's book is available from The Sourcebook Project at the above
address for $24.95 U.S.
7
Keay, Colin, 1995. The Non-Denominational Day of Reckoning,
The Skeptic, 15:44. This journal is published in Australia and should
not be confused with the U.K. journal of the same name.
8
Lucey, Paul G., G. Jeffrey Taylor and Erick Malaret, 1995.
Abundance and Distribution of Iron on the Moon, Science
268:1150-1153 (26 May).
9
Cowen, Ron, 1995. Some Like It Hot, Science News 148:412-413.
10
A. T. Basilevsky, A. A. Pronin (Vernadsky Institute, Moscow; G. G.
Schaber (USGS, Flagstaff), J.W. Head (Brown U., Providance, R.I)
and R. J. Phillips (Washington U., St. Louis). NASA Internet News.
11
T. Guillot, 1995. Condensation of Methane, Ammonia, and Water
and the Inhibition of Convection in Giant Planets, Science,
269:1697-1699.
12
Based on Zuidhof, A., 1977. King Solomon's molten sea, Clarion,
The Canadian Reformed Magazine. 26(24):500-502; 540-541.
Ibid., 1978. 27(1):7-8; (4):82-83.