In season 3 episode 10 Spock says they need 3.22 times 10 to the power of 26 watts to open a portal... How much is that?
a yottajoule is exactly 10^{24} joules
1 Yottajoule (YJ) = 1,000,000,000,000,000,000,000,000 Joules
900 Million kg of Antimatter = 1.61 Yottajoules
1,000,000 (6 zeros) = One million
1,000,000,000 (9 zeros) = One billion
1,000,000,000,000 (12 zeros) = One trillion
1,000,000,000,000,000 (15 zeros) = One quadrillion
1,000,000,000,000,000,000 (18 zeros) = One quintillion
1,000,000,000,000,000,000,000 (21 zeros) = One sextillion
1,000,000,000,000,000,000,000,000 (24 zeros) = One septillion
1,000,000,000,000,000,000,000,000,000 (27 zeros) = One Octillion
Spock's target power is 3.22 times 10^{26} watts which is 322 yottajoules of energy every second.
Divide 322 yottajoules by 1.61 yottajoules, it equals exactly 200.
Spock needs exactly 200 times more power than 1.61 Yottajoules
If 900 Million kg of antimatter is needed for 1.61 Yottajoules, Spock will need 200 times more.
200 x 900 Million kg of antimatter = 180 Billion kg of antimatter
The USS Enterprise-D carries 259,000 kg of antimatter
The Enterprise-D itself is estimated to weigh only about 400 million kilograms.
They would need to burn through the weight of 450 Enterprise-D worth of pure antimatter fuel every single second to pull that off.
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