Calculate the binding energy per nucleon for each of the following nuclei. (Use

Question

Calculate the binding energy per nucleon for each of the following nuclei. (Use the table of atomic masses as necessary.) a)^14N Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out a intermediate results to at least four-digit accuracy to minimize roundoff error. Mev (b)^18O Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. Mev (c)^32S Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out a intermediate results to at least four-digit accuracy to minimize roundoff error. Mev (d) 56^Fe

Explanation / Answer

we will start with calculating mass defect,

proton mass ~ 1.00728 amu ,neutron mass ~ 1.00866 amu

a) mass defect ( N) = 7 ( 1.00728 ) + 7 (1.00866) - 14.0067 = 0.10488 u

Binding energy = 931.5 MeV/u ( 0.10488 ) = 97.69572 Mev

Binding energy per neuclon= 6.978 MeV apprx

b) mass defect ( O) = 8 (1.00728 ) + 10 (1.00866 ) - 15.9994 = 8.05824 + 10.0866- 15.9994 =2.14544 u

Binding energy = 1998.47736 Mev
binding energy per neucoln = 111.02 MeV

c) mass defect = 15 (1.00728 ) + 17 (1.00866 ) - 32.065 = 0.19142 u

Binding energy per neuclon= 5.572

d) Mass defect = 26 (1.00728 ) + 30 (1.00866 )- 55.845 = 0.60408

bonding energy p er neuclon = 10.048 Mev apprx

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