50. (a) The disintegration energy for uranium-235 decaying into thorium-232 is
Q3 = (m235 - m232 - m3 ) c2
U Th He
= (235.0439 u - 232.0381u - 3.0160 u)(931.5MeV/u)
= -9.50 MeV .
(b) Similarly, the disintegration energy for uranium-235 decaying into thorium-231 is
Q4 = (m235 - m231 - m4 ) c2
U Th He
= (235.0439 u - 231.0363 u - 4.0026 u)(931.5MeV/u)
= 4.66 MeV .
(c) Finally, the considered transmutation of uranium-235 into thorium-230 has a Q-value of
Q5 = (m235 - m230 - m5 ) c2
U Th He
= (235.0439 u - 230.0331u - 5.0122 u)(931.5MeV/u)
= -1.30 MeV .
Only the second decay process (the ą decay) is spontaneous, as it releases energy.
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