bettertogetherinlove
bettertogetherinlove bettertogetherinlove
  • 04-06-2022
  • Mathematics
contestada

If a fission reaction yields 4.50×10^9 kJ of energy, then how much mass was lost?


1.50×10^−6 kg


5.00×10^−2 kg


5.00×10^−5 kg


1.50×10^−3 kg

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sqdancefan
sqdancefan sqdancefan
  • 04-06-2022

Answer:

  (c)  5.00×10^-5 kg

Step-by-step explanation:

The mass and energy are related by Einstein's formula E = mc².

__

Solving for mass in kg, we find it to be ...

  m = E/c² . . . . . . . . where E is in joules, and c is in meters/second

  m = (4.50×10^12 J)/(3×10^8 m/s)² = 5.00×10^-5 kg

The lost mass was about 5.00×10^-5 kg.

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