Suppose, we think of fission of a ^{56}_{26} Fe nucleus into two equal fragments, ^{28}_{13} AI . Is the fission energetically possible? Argue by working out Q of the process. Given m(^{56}_{26} Fe) = 55.93494 u and m (^{28}_{13} AI ) = 27.98191 u.

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Suppose, we think of fission of a ^5626Fe nucleus into two equal ...
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Discovery of the neutron - Wikipedia
The discovery of the neutron and its properties was central to the extraordinary developments ... The discovery of fission led to the creation of both nuclear power and ... viewing them as a convenient mathematical construct, while scientists such ... but gave it a physical meaning as the positive charge on the atomic nucleus.
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Dark Sun: The Making of the Hydrogen Bomb: Rhodes, Richard ...
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Nuclear reaction equation of ^{56}_{26} Fe
^{56}_{26} Fe \rightarrow ^{28}_{13} AI + ^{28}_{13} AI
Q-value of a nuclear reaction [math]=[\text{ mass of }_{26}^{56}Fe-2\cdot\ \text{mass of }(_{13}^{28}AI)]c^2[/math]
Given that
m(^{56}_{26} Fe) = 55.93494 u
m(^{28}_{13} AI) = 27.98191 u
\text{ Q -value } = 55.93494 - 2 * (27.98191) c^2 u
\text{ Q -value } = - 0.02888 c^2 u
\text{ Q -value } = - 0.02888 c^2 * 931.5 MeV/c^2 \because 1 u = 931.4 MeV/c^2
\text{ Q -value } = - 26.902 MeV
Fission has a negative Q-value. As a result, energetically, fission is not feasible. The Q-value must be positive in order for a fission reaction to be energetically feasible.