The Binding energy per nucleon of L i 3 7 and H e 2 4 nucleon are 5.60 M e V and 7.06 M eV , respectively.…

The Binding energy per nucleon of Li37 and He24 nucleon are 5.60 MeV and 7.06 MeV, respectively. In the nuclear reaction  37Li+ 11H 24He+ 24He+Q, the value of energy Q released is
  1. 19.6 MeV
  2. -2.4 MeV
  3. 8.4 MeV
  4. 17.3 MeV

Solution

Li74 +H1 1He42 2 
BE of products=(5.6 MeV×7)+0
=39.2 MeV
Ei=-39.2 MeV
BE of reactant=7.06×4×2
=56.48 MeV
Ef=-56.48 MeV

As nuclear energy decreases, some energy will be released.
Qrelease=Ei-Ef=-39.2--56.48=17.28 MeV

Asked in: NEET 2014

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