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What is the binding energy in kJ/mol per nucleons for the formation of nitrogen-15? in kJ/mol? Nucleons = 7 + 8 The required masses (g/mol)...

Binding energy is the energy that binds the nucleus together. It can computed using Einstein's famous mass-energy equivalency equation: 


E = mc^2


where, m is the mass defect and c is the speed of light (approximately 3 x 10^8 m/s)


Mass defect is calculated as the difference between actual mass of the nucleons and the measured mass of nucleus. In other words,


mass defect, m = number of protons x mass of proton + number...

Binding energy is the energy that binds the nucleus together. It can computed using Einstein's famous mass-energy equivalency equation: 


E = mc^2


where, m is the mass defect and c is the speed of light (approximately 3 x 10^8 m/s)


Mass defect is calculated as the difference between actual mass of the nucleons and the measured mass of nucleus. In other words,


mass defect, m = number of protons x mass of proton + number of neutrons x mass of neutrons - actual mass of nucleus


= 7 x 1.00783 + 8 x 1.00867 - 15.00011 = 0.1241 g/mol = 1.241 x 10^-4 kg/mol


Thus, binding energy = mc^2


= 1.241 x 10^-4 kg/mol x (3 x 10^8 m/s)^2 


= 1.1169 x 10^13 J/mol


= 1.1169 x 10^10 kJ/mol


In terms of per nucleon, 


binding energy = 1.1169 x 10^10 kJ/mol / (7 + 8) nucleons


= 7.446 x 10^8 kJ/mol/nucleon.


Hope this helps.

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