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NCERT Class XII Chapter
Nuclei
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Question : 16 of 31
Marks: +1, -0
Suppose, we think of fission of a 2656Fe\,{}^{56}_{26}\mathrm{Fe} nucleus into two equal fragments, 1328Al\,{}^{28}_{13}\mathrm{Al}. Is the fission energetically possible? Argue by working out Q of the process.
Given , m (2656Fe)({}^{56}_{26}\mathrm{Fe}) = 55.93494u and m (1328Al)({}^{28}_{13}\mathrm{Al}) = 27.98191u.
Solution:  
The fission of Fe-56 into two fragments of 1328Al\,{}^{28}_{13}\mathrm{Al} with energy released Q can be written as
2656Fe\,{}^{56}_{26}\mathrm{Fe}1328Al\,{}^{28}_{13}\mathrm{Al} + 1328Al\,{}^{28}_{13}\mathrm{Al} + Q
Q = [m(2656Fe)2m(1328Al)]c2]\left[ m\left(\,{}^{56}_{26}\mathrm{Fe}\right)-2m\left(\,{}^{28}_{13}\mathrm{Al}\right)\right]c^2] = [55.93494 – 2 × 27.98191] × 931.5 MeV
= – 0.02888 × 931.5 = – 26.90 MeV
As the Q-value is negative, the fission is not possible energetically.
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