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Chapter 31: Q19 E (page 1149)
\({{\rm{\beta }}^{\rm{ + }}}\)decay of \(^{{\rm{50}}}{\rm{Mn}}\)
The \({\beta ^ - }\) Decay equation of \(^{50}Mn\) is \(_{25}^{50}M{n_{25}} \to _{24}^{50}C{r_{26}} + {\beta ^ + } + {\nu _c}\).
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(a) Write the complete \({{\rm{\beta }}^{\rm{ - }}}\) decay equation for the neutron.
(b) Find the energy released in the decay.
What do the three types of beta decay have in common that is distinctly different from alpha decay?
Neutrinos are experimentally determined to have an extremely small mass. Huge numbers of neutrinos are created in a supernova at the same time as massive amounts of light are first produced. When the 1987A supernova occurred in the Large Magellanic Cloud, visible primarily in the Southern Hemisphere and some 100,000 light-years away from Earth, neutrinos from the explosion were observed at about the same time as the light from the blast. How could the relative arrival times of neutrinos and light be used to place limits on the mass of neutrinos?
Electron capture by 7Be
(a) Repeat Exercise \({\rm{31}}{\rm{.2}}\), and convert the energy to joules or calories. (b) If all of this energy is converted to thermal energy in the gas, what is its temperature increase, assuming \(50.0\,{\rm{c}}{{\rm{m}}^{\rm{3}}}\) of ideal gas at \({\rm{0}}{\rm{.250 - }}\)atm pressure? (The small answer is consistent with the fact that the energy is large on a quantum mechanical scale but small on a macroscopic scale.)
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