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https://texercises.com/exercise/typical-house-driven-by-nuclear-fusion/
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Exercise:
If a typical house requires PO of electric power on average what minimum of deuterium fuel would have to be used in a year to supply these electrical needs? Ase the fusion reaction isotopeD+isotopeD rightarrow isotopeHe+mboxn. The mass of deuterium is mDO the mass of Helium- mHeO and the neutron has a mass of ncmnu.

Solution:
If we take the mass difference of the considered reaction we get Delta m sscmD - sscmHe - sscmn mD - mHe - ncmnu dmu dmk. According to Einstein's energy-mass-equivalence this corresponds to E_ Delta m c^ dmk qtyncc^ Ep EpM of energy which comes out of the reaction as kinetic energy i.e. velocity of the neutron. A typical house requires E Pt P t Eh EhM per year. The fusion reaction above hence needs to run N' fracEE_ fracEhEp N times. Each reaction requires two isotopeH atoms. Therefore N N' N Nz n nQ isotopeH atoms are required. They have a mass of m n M n M m mgQ.
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Exercise:
If a typical house requires PO of electric power on average what minimum of deuterium fuel would have to be used in a year to supply these electrical needs? Ase the fusion reaction isotopeD+isotopeD rightarrow isotopeHe+mboxn. The mass of deuterium is mDO the mass of Helium- mHeO and the neutron has a mass of ncmnu.

Solution:
If we take the mass difference of the considered reaction we get Delta m sscmD - sscmHe - sscmn mD - mHe - ncmnu dmu dmk. According to Einstein's energy-mass-equivalence this corresponds to E_ Delta m c^ dmk qtyncc^ Ep EpM of energy which comes out of the reaction as kinetic energy i.e. velocity of the neutron. A typical house requires E Pt P t Eh EhM per year. The fusion reaction above hence needs to run N' fracEE_ fracEhEp N times. Each reaction requires two isotopeH atoms. Therefore N N' N Nz n nQ isotopeH atoms are required. They have a mass of m n M n M m mgQ.
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Attributes & Decorations
Branches
Work, Energy, Power
Tags
average, deuterium, electrical, element, fusion, helium, house, hydrogen, isotope, nuclear, nucleus., physics, power, radioactivity, reaction, typical, watt
Content image
Difficulty
(3, default)
Points
6 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link