Q#1 Initially there are 6*10upper 9 radiactive ofelement w (decay constant 0.173

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Q#1 Initially there are 6*10upper 9 radiactive ofelement w (decay constant 0.173/day) in a sample. As anucleus of w decays, it converts 2.6*10 upper -28 kg of itsmass to energy and releases the energy. How much time (in days)isrequired for sample to release a total of 7.2*10 upper -4 j? Q#1 Initially there are 6*10upper 9 radiactive ofelement w (decay constant 0.173/day) in a sample. As anucleus of w decays, it converts 2.6*10 upper -28 kg of itsmass to energy and releases the energy. How much time (in days)isrequired for sample to release a total of 7.2*10 upper -4 j?

Explanation / Answer

N = 6*109, = 0.173/day, m = 2.67*10-28kg, E = 7.2*10-4 J, find t initial number of nucleus = N after t, number = Ne-t number reduced = N(1 - e-t) for each nucleus, energy created = mc2 after t, energy generated = mc2N(1 -e-t) = E t = (-1/)ln[1 - E/(mc2N)] = 0.029 days answer: (a,b)

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