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What is the binding energy in kJ/mol Cl for the formation of chlorine-37? in kJ/mol?The nucleons are protons = 17 and neutrons = 20.The required...

The binding energy can be calculated by using Einstein's mass-energy equivalency equation, that is, E = mc^2. 


In this equation, m is the mass defect and C is the speed of light.


Mass defect, m = actual mass of nucleons - actual mass of nucleus


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


= 17 x 1.00783 + 20 x 1.00867 - 36.94740 


= 0.35911 g/mol = 3.5911 x 10^-4 kg/mol


And, binding energy = mc^2


= 3.5911 x 10^-4 kg/mol x (3 x 10^8 m/s)^2


= 3.232 x 10^13 J/mol = 3.232 x 10^10 kJ/mol


Since there are 37 nucleons, we can also calculate the binding energy per nucleon, by dividing the total binding energy by the number of nucleons.


Thus, binding energy = 3.232 x 10^10 / 37 kJ/mol/nucleon


= 8.735 x 10^8 kJ/mol/nucleon.


Hope this helps.

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