We appreciate your visit to Determine the energy released in the following fission reaction Ignore the kinetic energy of the thermal neutron it is small Do not ignore its mass. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The energy released in the fission reaction is approximately 2.7918 ⨯ 10-11 joules.
Explanation:
In this fission reaction, uranium-235 (235U) absorbs a neutron (n) and splits into barium-143 (143Ba), krypton-90 (90Kr), and three neutrons (3n). The energy released in the reaction can be calculated by determining the mass difference between the reactants and the products and multiplying it by the speed of light squared [tex](c^2)[/tex].
First, let's calculate the total mass of the reactants (235U + n):
- Mass of uranium-235 (235U): 390.29 ⨯ 10-27 kg
- Mass of a neutron (n): 1.6749 ⨯ 10-27 kg
Total mass of reactants = Mass of uranium-235 + Mass of neutron = 390.29 ⨯ 10-27 kg + 1.6749 ⨯ 10-27 kg = 391.9649 ⨯ 10-27 kg
Next, let's calculate the total mass of the products (143Ba + 90Kr + 3n):
- Mass of barium-143 (143Ba): 237.32 ⨯ 10-27 kg
- Mass of krypton-90 (90Kr): 149.31 ⨯ 10-27 kg
- Mass of three neutrons (3n): 3 ⨯ 1.6749 ⨯ 10-27 kg = 5.0247 ⨯ 10-27 kg
Total mass of products = Mass of barium-143 + Mass of krypton-90 + Mass of three neutrons = 237.32 ⨯ 10-27 kg + 149.31 ⨯ 10-27 kg + 5.0247 ⨯ 10-27 kg = 391.6547 ⨯ 10-27 kg
The mass difference between the reactants and the products is:
Mass difference = Total mass of reactants - Total mass of products = 391.9649 ⨯ 10-27 kg - 391.6547 ⨯ 10-27 kg = 0.3102 ⨯ 10-27 kg
Finally, we can calculate the energy released using Einstein's equation E=mc^2:
Energy released = Mass difference ⨯ (speed of light[tex])^2[/tex] = 0.3102 ⨯ 10-27 kg ⨯ (3.00 ⨯ 108 m/s[tex])^2[/tex] = 2.7918 ⨯ 10-11 J
Learn more about energy released in a fission reaction here:
https://brainly.com/question/1341355
#SPJ14
Thanks for taking the time to read Determine the energy released in the following fission reaction Ignore the kinetic energy of the thermal neutron it is small Do not ignore its mass. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
