# Worksheet: Nuclear Binding Energy

In this worksheet, we will practice calculating the mass defect and the nuclear binding energy for different nuclei.

Q1:

A helium-4 nucleus contains two protons and two neutrons. A proton has a mass of 1.00728 u and a neutron has a mass of 1.00866 u. A helium-4 nucleus has a mass of 4.00260 u. What is the difference between the mass of a helium-4 nucleus and the total mass of its nucleons? Give your answer to 6 significant figures.

Q2:

is an isotope of phosphorus with an isotopic mass of 30.9738 u. Calculate the binding energy of . Give your answer to 3 significant figures.

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Q3:

An isotope has a mass defect of 1.20 u. Calculate the isotope’s binding energy. Give your answer to 3 significant figures.

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Q4:

A fluorine-19 nucleus contains nine protons and ten neutrons. A proton has a mass of 1.00728 u and a neutron has a mass of 1.00866 u. A fluorine-19 nucleus has a mass of 18.9984 u. What is the difference between the mass of a fluorine-19 nucleus and the total mass of its nucleons? Give your answer to 6 significant figures.

Q5:

is an isotope of neon with a mass defect of 0.167 u. Calculate the binding energy of . Give your answer to 3 significant figures. Use a value of 1.00728 u for the rest mass of a proton and a value of 1.00866 u for the rest mass of a neutron.

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Q6:

is an isotope of radon with an isotopic mass of 222.017 u. Calculate the mass defect of . Give your answer to 6 significant figures. Use a value of 1.00728 u for the rest mass of a proton and a value of 1.00866 u for the rest mass of a neutron.

Q7:

is an isotope of zinc with an isotopic mass of 63.9291 u. Calculate the mass defect of . Give your answer to 6 significant figures. Use a value of 1.00728 u for the rest mass of a proton and 1.00866 u for the rest mass of a neutron.

Q8:

is an isotope of cesium with an isotopic mass of 132.905 u. Calculate the binding energy of . Round your answer to 3 significant figures. Use a value of 1.00728 u for the rest mass of a proton and 1.00866 u for the rest mass of a neutron.

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Q9:

is an isotope of manganese with an isotopic mass of 54.9380 u. Calculate the binding energy per nucleon of . Give your answer to 3 significant figures. Use a value of 1.00728 u for the rest mass of a proton and 1.00866 u for the rest mass of a neutron.

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Q10:

is an isotope of curium with an isotopic mass of 243.061 u. Calculate the binding energy per nucleon of . Round your answer to 3 significant figures. Use a value of 1.00728 u for the rest mass of a proton and 1.00866 u for the rest mass of a neutron.

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Q11:

Two helium-3 nuclei fuse to make a beryllium-6 nucleus. Helium-3 has an isotopic mass of 3.01603 u. Beryllium-6 has an isotopic mass of 6.01973 u. How much energy is released in this process? Give your answer to 3 significant figures. Use a value of 1.00728 u for the rest mass of a proton and 1.00866 u for the rest mass of a neutron.

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