CHE 1302 Lecture Notes - Lecture 23: Beta Decay, Nuclear Fission, Weighted Arithmetic Mean

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20 Dec 2017
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All spontaneous nuclear reactions are exothermic: some mass is lost and appears as energy. Note that for examples like these, i will tell you values to use for nuclear mass, proton mass, neutron mass, etc. Calculate the mass defect and nuclear binding energy for carbon-16, a radioactive isotope of carbon with a nuclear mass of 16. 01140 u. Mass defect = 6(mass of a proton) + 10(mass of a neutron) mass of 16c. Since we"re going to use this to calculate binding energy, we"ll need to convert to kilograms: Mass defect = 0. 11888 u (1. 66 10 27 kg / 1 u) The binding energy, e = mc2 = (1. 97 10 28 kg) (3. 00 108 m s 1)2. The atomic mass of carbon is around 12 u, so the stable isotopes of the element will have mass number close to 12. 16c has too many neutrons , suggesting that beta decay ( ) would be preferred.

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