Radium having mass number 200 and binding energy per nucleon 5.6 MeV , splits into two fragments Cadmium of mass number 112 and Hassium of mass number 108. If the binding energy per nucleon for Cadmium and Hassium is approximately 8.0 MeV , then the energy Q released per fission will be:

Step-by-step solution

The total binding energy of the parent nucleus (Radium) is given by the product of its mass number and its binding energy per nucleon. Total binding energy of Radium = 200 5.6 MeV = 1120 MeV . The total binding energy of the daughter nuclei (Cadmium and Hassium) is the sum of their individual binding energies. Total binding energy of fragments = (112 8.0 MeV ) + (108 8.0 MeV ) = (112 + 108) 8.0 MeV = 220 8.0 MeV = 1760 MeV . The energy released Q in the fission process is the difference between the total binding en