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Chapter 6: Q7E (page 1520)

The starship Enterprise, of television and movie fame, is powered by combining matter and antimatter. If the entire 400kgantimatter fuel supply of the Enterprise combines with matter, how much energy is released? How does this compare to the U.S. yearly energy use, which is roughly 1脳1020J?

Short Answer

Expert verified

The energy is released amount 7.20脳1019J.

Step by step solution

01

Definition of Exothermic reaction

The term exothermic reaction may be defined as the reaction in which energy released.

02

Determine the amount of energy released

The total energy released can be calculated by the relation

E=mtc2E=800kg3脳108m/s2E=7.20脳1019J

Here the value ofmt=800kgused because 400kgantimatter fuel supply used it must combine with the same mass of matter of400kg.

Now compare with U.S yearly energy use of 1.0脳1020J

f=7.20脳1019J1.0脳1020J

f=72%

It means total energy released form the mixture of 400kgantimatter fuel and mass of matter of 400kgis about 72%of the U.S yearly energy use.

Hence, the energy is released amount 7.20脳1019J.

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