If the mass of one neutron is 1.00866 amu,the mass of one proton is 1.00728 amu,and the mass of ¹²C nucleus is 11.99671 amu,calculate the binding energy for the ¹²C nucleus. A)8.90 × 10⁹ kJ/mol B)8.90 × 10¹² kJ/mol C)1.10 × 10¹⁵ kJ/mol D)1.10 × 10¹⁸ kJ/mol

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Quizplus · Accepted Answer

The binding energy can be calculated using the mass defect, which is the difference between the mass of the unbound nucleons and the mass of the nucleus. The mass of 6 protons and 6 neutrons (assuming carbon-12 for "¹²C") is (6 * 1.00728 amu) + (6 * 1.00866 amu) = 12.09564 amu. The mass defect is 12.09564 amu - 11.99671 amu = 0.09893 amu. Converting this mass defect to energy using Einstein's equation E=mc^2 and converting the result to kJ/mol (using 1 amu = 931.5 MeV/c^2 and 1 MeV = 1.60218 × 10^-13 J, and considering Avogadro's number for the per mole calculation), gives approximately 8.90 × 10^19 kJ/mol.

If the Mass of One Neutron Is 1