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» Flare Sci-Fi Forums » Star Trek » Starships & Technology » What's the density of stored antimatter? (Page 3)

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Author Topic: What's the density of stored antimatter?
Treknophyle
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Coould someone check these figures - I get a different result:

[Density of LH (Slush):]
1cc = .0707 grams
1 cubic meter (1x10exp3 meter) = 7.07 x 10exp1 kg
1 pod anti-hydrogen shush (1x10exp3 meter) = 7.07x10exp4 kg

[Energy Released by Matter/Antimatter Reaction]
1 kg AM + a kg M = 1.8x10exp17 Joules
(using matter-energy conversion formula where 1 kg = 9.0x10exp16J - then double figure to allow for 1 kg of matter as well)
Reactant mass for 1 pod: 7.07x10exp4 kg x 2 = 1.1414x1-exp5kg
1.414x10exp5kg x 9.0x10exp16 = 2.5452x10exp23J

[Megatonnage/Potential Explosive Power per Pod]
1 pod + reactant = 2.5452x10exp23J
1 megaton of TNT = 4.18x10exp515
1 pod + reactant = 6.088x10exp7 megatons

I need the correct data to work out the power/fuel-consumption curve for various starships - given the TNG Tech Manual curve.

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Masao
doesn't like you either
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1. One discrepancy I see right away is the size of the antimatter pod. Ritten says it is 100 cubic meters while you (Treknophyte) says it is 1000 cubic meters.
2. Another problem is that you're including the mass of the matter reactant twice: once in the energy mass equation where you double the figure for 1 kg to get the figure for 2 kg of reactant and in the line "reactant mass for 1 pod" you double it again ot account for 2 pods.
3. A math mistakes creeps in when you multiply 1.414 x 10^5 x (9.0 x 10^16 x 2 = 1.8 x 10^17): you get 2.5 x 10^23 but the correct answer is 2.5 x 10^22. You added a ^1. (You didn't write the additional 2 in that equation to get 1.8 x 10^17 J/kg, but you multiplied by 2).
4. Everything after that is correct, so I get 3 x 10^6 MT, which, when multiplied by 20, is what you get.

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Treknophyle
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"I'm a designer, not a mathematician..."

Actually, I think we both may have let an error creep in. Looking at your corrections, I sought to simplify the calculations. Check this out please:

[Density of LH (Slush):]
1cc = .0707 grams
1 cubic meter (1x10^3 meter) = 7.07 x 10^1 kg
1 pod anti-hydrogen shush (1x10^2 cubic meters) = 7.07x10^3 kg

[Energy Released by Matter/Antimatter Reaction]
1 kg = 9.0x10^16J - remember double figure to allow for 1 kg of matter as well
Reactant mass for 1 pod: 7.07x10^3 kg AM + 7.07x10^3 kg M = 1.1414x10^4kg
1.414x10^4kg x 9.0x10^16 = 1.2726x10^21J

[Megatonnage/Potential Explosive Power per Pod]
1 pod + reactant = 1.2726x10^21J
(1 megaton of TNT = 4.18x10^15)
Therefore
1 pod + reactant = 3.0444976x10^5 megatons
= 3.0444976x10^2 gigatons

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Ritten
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I got the 100m3 from the most canon, , of all sources...... the TNG TM....

So it may be in error....

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Treknophyle
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No, 100 cubic meters sounds about right. Since the pods seem to be two-lobed, it roughs out to each pod being 2 approx 3.5 meter cubes.

Masao - how are my calcs?

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Masao
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Ok, here's what I figured.

70.7 g/L AM x 1000 l/cubic meter x 100 cubic meters/pod = 7.07 x 10^3 kg AM/pod.

1 kg AM yields 9 x 10^16 J/kg
1 MT TNT yields 4.18 x 10^15 J
Therefore,
1 kg AM yields 2.153 x 10^1 MT. (21.53 MT/kg AM)

7.07 x 10^3 kg AM/pod x 2.153 x 10^1 MT/kg AM =
1.522 x 10^5 MT/pod
x 2 pods (one M, one AM) =
3.044 x 10^5 MT

So, we seem to get the same answer.

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AndrewR
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Antimatter... where does it actually comefrom? Is it the same 'partical' as real matter when it's just made except ??opposite?? If so, where is the matter partical... does antimatter comefrom another universe? If so, does the matter partical go to the antimatter universe?? or do we now get MORE particals than the antimatter universe... or is it balanced because even though this antimatter is in our universe - its opposite - so it doesn't 'register' in our universe!?!

Bizzaromatter ;o)

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Registered: Mar 1999  |  IP: Logged
Sol System
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You cannot have matter without antimatter. You know that matter and energy are interchangeable under the right conditions, yes? Well, whenever you convert energy to matter, say, in a particle accelerator, you get new particles plus their corresponding antiparticles. Conservation of energy, etc, etc, blah blah blah.

The really interesting question is, since matter and antimatter are created together, where is all the antimatter? As far as we can tell, the universe is almost entirely matter, with antimatter found only in a few exotic locations where it is currently being created...the jets of certain black holes, for instance. (Like the one presumably at the center of our galaxy.)

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