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I magine that the entire quantity of jet fuel
from the aircraft was injected into just one floor of the World Trade
Center, that the jet fuel burnt with the perfect efficiency, that no
hot gases left this floor and that no heat escaped this floor by
conduction. With these ideal assumptions we calculate the maximum
temperature that this one floor could have reached.
"The Boeing 767 is capable of carrying up to
23,980 gallons of fuel and it is estimated that, at the time of impact,
each aircraft had approximately 10,000 gallons of unused fuel on board
(compiled from Government sources)." Quote from the FEMA report into the collapse of WTC's
One and Two (Chapter Two).
Since the aircraft were only flying from Boston to Los Angeles, they
would have been nowhere near fully fueled on takeoff (the aircraft have
a maximum range of 7,600 miles). They would have carried just enough
fuel for the trip together with some safety factor. Remember, that
carrying excess fuel means higher fuel bills and less paying passengers.
The aircraft would have also burnt some fuel between Boston and New
York.
What we propose to do, is to pretend that the entire 10,000 gallons
of jet fuel was injected into just one floor of the World Trade Center,
that the jet fuel burnt with the perfect quantity of oxygen, that no hot
gases left this floor and that no heat escaped this floor by conduction.
With these ideal assumptions (none of which were meet in reality) we
will calculate the maximum temperature that this one floor could have
reached. Of course, on that day, the real temperature rise of any floor
due to the burning jet fuel, would have been considerably lower than the
rise that we calculate, but this estimate will enable us to demonstrate
that the "official" explanations are lies.
Note that a gallon of jet fuel weighs about 3.1 kilograms, hence
10,000 gallons weighs 10,000 x 3.1 = 31,000 kgs.
Jet fuel is a colorless, combustible, straight run petroleum
distillate liquid. Its principal uses are as an ingredient in lamp oils,
charcoal starter fluids, jet engine fuels and insecticides.
It is also know as, fuel oil #1, kerosene, range oil, coal oil and
aviation fuel.
It is comprised of hydrocarbons with a carbon range of C9 - C17. The
hydrocarbons are mainly alkanes CnH2n+2, with n
ranging from 9 to 17.
It has a flash point within the range 42° C - 72° C (110° F - 162°
F).
And an ignition temperature of 210° C (410° F).
Depending on the supply of oxygen, jet fuel burns by one of three
chemical reactions:
(1) CnH2n+2 + (3n+1)/2 O2 => n CO2
+ (n + 1) H2O
(2)
CnH2n+2
+ (2n+1)/2 O2 => n CO + (n + 1) H2O
(3)
CnH2n+2
+ (n+1)/2 O2 => n C + (n + 1) H2O
Reaction (1) only occurs when jet fuel is well mixed with air before
being burnt, as for example, in jet engines.
Reactions (2) and (3) occur when a pool of jet fuel burns. When
reaction (3) occurs the carbon formed shows up as soot in the flame.
This makes the smoke very dark.
In the aircraft crashes at the World Trade Center the collision would
have mixed the fuel with the limited amount of air available within the
building, quite well, but the combustion would still have been mainly a
combination of reactions (2) and (3) as the quantity of oxygen was quite
restricted.
Since we do not know the exact quantities of oxygen available to the
fire, we will assume that the combustion was perfectly efficient, that
is, the entire quantity of jet fuel burnt via reaction (1), even though
we know that this was not so. This generous assumption will give a
temperature that we know will be higher than the actual temperature of
the fire attributable to the jet fuel.
We need to know that the
(net) calorific value of jet fuel when burnt via
reaction (1) is 42-44 MJ/kg. The calorific value of a fuel is the amount
of energy released when the fuel is burnt. We will use the higher value
of 44 MJ/kg as this will lead to a higher maximum temperature than the
lower value of 42 (and we wish to continue being outrageously generous
in our assumptions).
For a cleaner presentation and simpler calculations we will also
assume that our hydrocarbons are of the form CnH2n.
The dropping of the 2 hydrogen atoms does not make much difference to
the final result and the interested reader can easily recalculate the
figures for a slightly more accurate result. So we are now assuming the
equation:
(4)
CnH2n
+ 3n/2 O2 => n CO2 + n H2O
However, this model, does not take into account that the reaction is
proceeding in air, which is only partly oxygen.
Dry air is 79% nitrogen and 21% oxygen (by volume). Normal air has a
moisture content from 0 to 4%. We will include the water vapor and the
other minor atmospheric gases with the nitrogen.
So the ratio of the main atmospheric gases, oxygen and nitrogen, is 1
: 3.76. In molar terms:
Air = O2 + 3.76 N2.
Because oxygen comes mixed with nitrogen, we have to include it in
the equations. Even though it does not react, it is "along for the ride"
and will absorb heat, affecting the overall heat balance. Thus we need
to use the equation:
(5)
CnH2n
+ 3n/2(O2 + 3.76 N2) => n CO2 + n H2O
+ 5.64n N2
From this equation we see that the molar ratio of CnH2n
to that of the products is:
| CnH2n : CO2
: H2O : N2 |
= 1 : n : n : 5.64n moles |
| |
= 14n : 44n : 18n : 28 x 5.64n kgs |
| |
= 1 : 3.14286 : 1.28571 : 11.28 kgs |
| |
= 31,000 : 97,429 : 39,857 : 349,680 kgs |
In the conversion of moles to kilograms we have assumed the atomic
weights of hydrogen, carbon, nitrogen and oxygen are 1, 12, 14 and 16
respectively.
Now each of the towers contained 96,000 (short) tons of steel. That
is an average of 96,000/117 = 820 tons per floor. Lets suppose that the
bottom floors contained roughly twice the amount of steel of the upper
floors (since the lower floors had to carry more weight). So we estimate
that the lower floors contained about 1,100 tons of steel and the upper
floors about 550 tons = 550 x 907.2 ? 500,000 kgs. We will assume that
the floors hit by the aircraft contained the lower estimate of 500,000
kgs of steel. This generously underestimates the quantity of steel in
these floors, and once again leads to a higher estimate of the maximum
temperature.
Each story had a floor slab and a ceiling slab. These slabs were 207
feet wide, 207 feet deep and 4 (in parts 5) inches thick and were
constructed from lightweight concrete. So each slab contained 207 x 207
x 1/3 = 14,283 cubic feet of concrete. Now a cubic foot of lightweight
concrete weighs 50kg, hence each slab weighed 714,150 ? 700,000 kgs.
Together, the floor and ceiling slabs weighed some 1,400,000 kgs.
So, now we take all the ingredients and estimate a maximum
temperature to which they could have been heated by 10,000 gallons of
jet fuel. We will call this maximum temperature T. Since the calorific
value of jet fuel is 44 MJ/kg. We know that 10,000 gallons = 31,000 kgs
of jet fuel
will release 31,000 x 44,000,000 = 1,364,000,000,000 Joules of
energy.
This is the total quantity of energy available to heat the
ingredients to the temperature T. But what is the temperature T? To find
out, we first have to calculate the amount of energy absorbed by each of
the ingredients.
That is, we need to calculate the energy needed to raise:
| 39,857 |
kilograms of water
vapor to the temperature T° C, |
| 97,429 |
kilograms of carbon
dioxide to the temperature T° C, |
| 349,680
|
kilograms of nitrogen
to the temperature T° C, |
| 500,000
|
kilograms of steel to
the temperature T° C, |
| 1,400,000
|
kilograms of concrete
to the temperature T° C. |
To calculate the energy needed to heat the above quantities, we need
their
specific heats.
The specific heat of a substance is the amount of energy needed to raise
one kilogram of the substance by one degree centigrade.
| Substance |
Specific Heat [J/kg*C] |
| Concrete |
3,300 |
| Steel |
450 |
| Nitrogen |
1,038 |
| Water Vapor |
1,690 |
| Carbon Dioxide |
845 |
Substituting these values into the above, we obtain:
| 39,857 x |
1,690 x (T - 25) |
Joules are needed to heat the
water vapor from 25° to T° C, |
| 97,429 x |
845 x (T - 25) |
Joules are needed to heat the
carbon dioxide from 25° to T° C, |
| 349,680 x |
1,038 x (T - 25) |
Joules are needed to heat the
nitrogen from 25° to T° C, |
| 500,000 x |
450 x (T - 25) |
Joules are needed to heat the
steel from 25° to T° C, |
| 1,400,000 x |
3,300 x (T - 25) |
Joules are needed to heat the
concrete from 25° to T° C. |
The assumption that the specific heats are constant over the
temperature range 25° - T° C, is a good approximation if T turns out to
be relatively small (as it does). For larger values of T this assumption
once again leads to a higher maximum temperature (as the specific heat
for these substances increases with temperature). We have assumed the
initial temperature of the surroundings to be 25° C. The quantity, (T -
25)° C, is the temperature rise.
So the amount of energy needed to raise one floor to the temperature
T° C is
= (39,857 x 1,690 + 97,429 x 845 + 349,680 x 1,038 + 500,000 x 450 +
1,400,000 x 3,300) x (T - 25)
= (67,358,300 + 82,327,500 + 362,968,000 + 225,000,000 + 4,620,000,000)
x (T - 25) Joules
= 5,357,650,000 x (T - 25) Joules.
Since the amount of energy available to heat this floor is
1,364,000,000,000 Joules, we have that
5,357,650,000 x (T - 25) = 1,364,000,000,000
5,357,650,000 x T - 133,941,000,000 = 1,364,000,000,000
Therefore T = (1,364,000,000,000 + 133,941,000,000)/5,357,650,000 =
280° C (536° F).
So, if we assume a typical office fire at the WTC, then the jet fuel
could have only added 280 - 25 = 255° C (at the very most) to the
temperature of the fire.
Summarizing:
We have assumed that the entire quantity of jet fuel from the
aircraft was injected into just one floor of the World Trade Center,
that the jet fuel burnt with the perfect efficency, that no hot gases
left this floor and that no heat escaped this floor by conduction.
We have found that it is impossible the jet fuel, by itself, raised
the temperature of this floor beyond 280° C (536° F).
Now this temperature is nowhere near high enough to even begin
explaining the World Trade Center Tower collapse.
It is not even close to the first critical temperature of 600° C
(1,100° F) where steel loses about half its strength and it is nowhere
near the quotes of 1500° C that we constantly read about in our lying
media.
"In the mid-1990s British Steel and the Building Research
Establishment performed a series of six experiments at Cardington to
investigate the behavior of steel frame buildings. These experiments
were conducted in a simulated, eight-story building. Secondary steel
beams were not protected. Despite the temperature of the steel beams
reaching 800-900° C (1,500-1,700° F) in three of the tests (well above
the traditionally assumed critical temperature of 600° C (1,100° F), no
collapse was observed in any of the six experiments."
Quote from the FEMA report (Appendix A).

This is a crazy world. What can be
done? Amazingly, we have been mislead. We have been taught that we can
control government by voting. The founder of the Rothschild dynasty, Mayer
Amschel Bauer, told the secret of controlling the government of a nation
over 200 years ago. He said, "Permit me to issue and control the money of
a nation and I care not who makes its laws." Get the picture? Your freedom
hinges first on the nation's banks and money system. That's why we
advocate using the
Liberty Dollar, to understand the
monetary and banking system. Freedom is connected with
Debt Elimination for each individual. Not
only does this end personal debt, it places the people first in line as
creditors to the National Debt ahead of the banks. They don't wish for you
to know this. It has to do with recognizing WHO you really are in
A New Beginning: A Practical Course in Miracles.
You CAN
take
back your power and
stop volunteering to pay taxes to the collection
agency for the BEAST. You can take back that which is yours,
always has been yours and use it to pay off your debts. And you can send
others to these pages to discover what you are discovering.
© 2004,
Allen
Aslan Heart / White Eagle Soaring of the
Little Shell
Pembina Band, a
Treaty Tribe
of the Ojibwe Nation. |
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