) Calculate the energy in joules released by the fusion of a 1.75 -kg mixture of deuterium and tritium, which produces helium. There are equal numbers of deuterium and tritium nuclei in the mixture. b) If this process takes place continuously over a period of a year, what is the average power output in units of megawatts
) Calculate the energy in joules released by the fusion of a 1.75 -kg mixture of deuterium and tritium, which produces helium. There are equal numbers of deuterium and tritium nuclei in the mixture. b) If this process takes place continuously over a period of a year, what is the average power output in units of megawatts
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a) Calculate the energy in joules released by the fusion of a 1.75 -kg mixture of deuterium and tritium, which produces helium. There are equal numbers of deuterium and tritium nuclei in the mixture.
b) If this process takes place continuously over a period of a year, what is the average power output in units of megawatts?
![Deuterium fuses with tritium by the following reaction:
\[
\begin{align*}
^{2}_{1}\text{H} + ^{3}_{1}\text{H} \rightarrow ^{4}_{2}\text{He} + ^{1}_{0}\text{n}
\end{align*}
\]
The atomic masses of deuterium and tritium are 2.014102 u and 3.016049 u respectively.
---
### Explanation of the Reaction:
**Reactants:**
- Deuterium (\(^{2}_{1}\text{H}\)), which has an atomic mass of 2.014102 u.
- Tritium (\(^{3}_{1}\text{H}\)), with an atomic mass of 3.016049 u.
**Products:**
- Helium (\(^{4}_{2}\text{He}\)), which is produced as a result of fusion.
- A neutron (\(^{1}_{0}\text{n}\)) is also released.
This nuclear fusion reaction is significant in the study of energy production, particularly in the context of experimental nuclear fusion research, aimed at generating clean and sustainable energy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed677bcb-cf98-4d5d-a4d9-faa6cf6b79cb%2Fdf90506d-6818-4944-a43d-a04d6ecadaae%2Fh6g1bn_processed.png&w=3840&q=75)
Transcribed Image Text:Deuterium fuses with tritium by the following reaction:
\[
\begin{align*}
^{2}_{1}\text{H} + ^{3}_{1}\text{H} \rightarrow ^{4}_{2}\text{He} + ^{1}_{0}\text{n}
\end{align*}
\]
The atomic masses of deuterium and tritium are 2.014102 u and 3.016049 u respectively.
---
### Explanation of the Reaction:
**Reactants:**
- Deuterium (\(^{2}_{1}\text{H}\)), which has an atomic mass of 2.014102 u.
- Tritium (\(^{3}_{1}\text{H}\)), with an atomic mass of 3.016049 u.
**Products:**
- Helium (\(^{4}_{2}\text{He}\)), which is produced as a result of fusion.
- A neutron (\(^{1}_{0}\text{n}\)) is also released.
This nuclear fusion reaction is significant in the study of energy production, particularly in the context of experimental nuclear fusion research, aimed at generating clean and sustainable energy.
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