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Originally posted by Brother Stormhammer
reply to post by mdiinican
Antimatter's destructive power is highly over-rated, folks. I blame Star Trek, and other space opera for it. Just for fun, let's run some numbers, shall we?
The famous (or infamous) relation that we're looking for is E=mc^2. In standard units, Energy is measured in Joules, mass in kilograms, and c is in meters per second. So, the energy released by conversion of a gram of antimatter would be E= 0.002 * 89,875,517,873,681,764 = 179,751,035,747,363.5 joules.
TNT has an energy density of 4.6 megajoules / kilogram, so, dividing the joules released by 4,600,000 (correcting the unit magnitude) gives 39,076.3 kg of TNT equivalent.
Admittedly, that's a hell of a bang out of 2 grams of input (1g antimatter, and the 1g of matter it takes with it), but it's three orders of magnitude less than 20,000 tons. If you want both sides in Kt, that would be 0.004Kt.
Sorry...the physics geek in me couldn't resist
Does one gram of antimatter contain the energy of a 20 kilotonne nuclear bomb?
Twenty kilotonnes of TNT is the equivalent of the atom bomb that destroyed Hiroshima. The explosion of a kilotonne (=1000 tonnes) of TNT corresponds to a energy release of 4.2x10^12 joules (10^12 is a 1 followed by 12 zeros, i.e. a million million). For comparison, a 60 watt light bulb consumes 60 J per second.
You are probably asking for the explosive release of energy by the sudden annihilation of one gram of antimatter with one gram of matter. Let's calculate it.
To calculate the energy released in the annihilation of 1 g of antimatter with 1 g of matter (which makes 2 g = 0.002 kg), we have to use the formula E=mc2, where c is the speed of light (300,000,000 m/s):
E= 0.002 x (300,000,000)2 kg m2/s2 = 1.8 x 10^14 J = 180 x 10^12 J. Since 4.2x10^12 J corresponds to a kilotonne of TNT, then 2 g of matter-antimatter annihilation correspond to 180/4.2 = 42.8 kilotonnes, about double the 20 kt of TNT.
This means that you ‘only’ need half a gram of antimatter to be equally destructive as the Hiroshima bomb, since the other half gram of (normal) matter is easy enough to find.
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