Deuterium Lamp
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how long (in terms of years) can the fusion of 1.3 kg of deuterium by the reaction keep 100 W lamp burning?
For how long (in terms of years) can the fusion of 1.3 kg of deuterium by the reaction : Hydrogen-2 + Hydrogen-2 => Helium-3 + n .....(where Q=3.27 MeV) keep a 100 W lamp burning?
First you need the mass of a deuterium atom. Because the mass number is two, the mass is two atomic units. Look up the conversion to find out what an atomic unit is in kilograms. Then divide 1.3kg by that number to get the number of H-2 atoms. Then divide that by two to get the number of fusion reactions. Then multiply that by Q to get the total energy available. Then divide that by the power of the lamp to get your time.
Working backwards:
t = power / energy
= power / (Q*number of reaction)
= power / (Q * number of H2 atoms / 2)
= 2 power / (Q * mtotal / mH2)
= 2 power Z (atomicmassunit) / (Q mtotal)
They give you power, Q, and mtotal. Z for deuterium it two. Look up what an atomic mass unit is in kg. Plugnchug. Convert from seconds to years (1 year / 365.24*24*60*60s)
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September 14th, 2008 in
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