Answer:
192.16MeV
Explanation:
Mass of neutron (Mn) = 1.008665 amu
Mass of proton (Mp) = 1.00728 amu
Mass of nucleus (Mg-24) = 23.985045 amu
1 amu = 931.5MeV
Binding energy of the nucleus is the work or energy needed just to take all the entire nucleons apart so that they are completely separated.
Mass defect = (mass of proton + mass of neutron) - mass of nucleus.
Mass defect = [12(1.00728) + 12(1.008665)] - 23.985045
Mass defect = [(12.08736 + 12.10398)] - 23.985045
Mass defect = 24.19134 - 23.985045
Mass defect = 0.206295amu
Binding energy = mass defect * 931.5 MeV
Binding energy = 0.206295 * 931.5
Binding energy = 192.16MeV
The binding energy per nucleon of an Mg-24 nucleus is;
D. 4.41 MeV
We are given;
Molar mass of Mg-24; M = 24.30506 amu
Number of protons = 12 protons
Number of neutrons = 12 neutrons.
Molar mass of hydrogen is 1.00728 amu
Thus;
Hydrogen atom mass = 12 × 1.00728 amu
Hydrogen atom mass = 12.0874 amu
Neutron mass = 12 x 1.008665 amu
Neutron mass = 12.104 amu
Formula for theoretical mass is;
Theoretical mass = Hydrogen atom mass + Neutron mass
Theoretical mass = 12.0874 + 12.104
Theoretical mass = 24.1914 amu
Formula for the mass defect is:
Mass defect = Actual molar mass - Theoretical mass
Mass defect = 24.30506 amu - 24.1914 amu
Mass defect = 0.11366 amu
Formula for the binding energy per nucleon is:
B.E = (Mass defect × energy per amu)/nucleons
B.E = (0.11366 × 931.5)/24
B.E per nucleon = 4.41 MeV
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