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How much energy is released in the following reaction?
1H2 + H2 =2 He4
If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.
(a) 12 MeV
(b) 24.3 MeV
(c) 36 MeV
(d) zero?
1H2 + H2 =2 He4
If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.
(a) 12 MeV
(b) 24.3 MeV
(c) 36 MeV
(d) zero?
Most Upvoted Answer
How much energy is released in the following reaction?1H2 + H2 =2 He4I...
Overview of the Reaction
The reaction in question is the fusion of hydrogen isotopes to form helium:
1H2 + 1H2 → 2He4
This process releases energy, which can be calculated using the binding energy (B.E.) of the involved nuclei.
Binding Energy per Nucleon
- Binding Energy of 1H2 (Deuterium): 1.125 MeV
- Binding Energy of 2He4 (Helium-4): 7.2 MeV
The binding energy indicates how much energy is required to disassemble a nucleus into its individual nucleons.
Calculating Total Binding Energy
1. Total Binding Energy of Reactants (2 Deuterium Nuclei):
- Since each deuterium nucleus has 2 nucleons:
- Total nucleons = 2 * 2 = 4
- Total B.E. = 4 * 1.125 MeV = 4.5 MeV
2. Total Binding Energy of Products (1 Helium-4 Nucleus):
- Helium-4 has 4 nucleons:
- Total B.E. = 4 * 7.2 MeV = 28.8 MeV
Energy Released in the Reaction
The energy released during the reaction is the difference in total binding energies between products and reactants:
- Energy Released = Total B.E. of Products - Total B.E. of Reactants
- Energy Released = 28.8 MeV - 4.5 MeV = 24.3 MeV
Conclusion
Thus, the energy released in this fusion reaction is 24.3 MeV.
Therefore, the correct answer is (b) 24.3 MeV.
The reaction in question is the fusion of hydrogen isotopes to form helium:
1H2 + 1H2 → 2He4
This process releases energy, which can be calculated using the binding energy (B.E.) of the involved nuclei.
Binding Energy per Nucleon
- Binding Energy of 1H2 (Deuterium): 1.125 MeV
- Binding Energy of 2He4 (Helium-4): 7.2 MeV
The binding energy indicates how much energy is required to disassemble a nucleus into its individual nucleons.
Calculating Total Binding Energy
1. Total Binding Energy of Reactants (2 Deuterium Nuclei):
- Since each deuterium nucleus has 2 nucleons:
- Total nucleons = 2 * 2 = 4
- Total B.E. = 4 * 1.125 MeV = 4.5 MeV
2. Total Binding Energy of Products (1 Helium-4 Nucleus):
- Helium-4 has 4 nucleons:
- Total B.E. = 4 * 7.2 MeV = 28.8 MeV
Energy Released in the Reaction
The energy released during the reaction is the difference in total binding energies between products and reactants:
- Energy Released = Total B.E. of Products - Total B.E. of Reactants
- Energy Released = 28.8 MeV - 4.5 MeV = 24.3 MeV
Conclusion
Thus, the energy released in this fusion reaction is 24.3 MeV.
Therefore, the correct answer is (b) 24.3 MeV.
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How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero?
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How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero? for GATE Physics 2025 is part of GATE Physics preparation. The Question and answers have been prepared according to the GATE Physics exam syllabus. Information about How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero? covers all topics & solutions for GATE Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero?.
How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero? for GATE Physics 2025 is part of GATE Physics preparation. The Question and answers have been prepared according to the GATE Physics exam syllabus. Information about How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero? covers all topics & solutions for GATE Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much energy is released in the following reaction?1H2 + H2 =2 He4If the B.E/ nucleon of 1H² and 2He4 are 1.125MeV and 7.2 MeV respectively.(a) 12 MeV(b) 24.3 MeV(c) 36 MeV(d) zero?.
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