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:

3115P is an isotope of phosphorus with an isotopic mass of 30.9738 u. Calculate the binding energy of 3115P. Give your answer to 3 significant figures.

  • A3.76×10 J
  • B4.09×10 J
  • C4.63×10 J
  • D4.40×10 J
  • E4.07×10 J

Q3:

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

  • A1.79×10 J
  • B3.57×10 J
  • C5.98×10 J
  • D1.49×10 J
  • E4.98×10 J

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:

2010Ne is an isotope of neon with a mass defect of 0.167 u. Calculate the binding energy of 2010Ne. 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.

  • A2.50×10 J
  • B49.8×10 J
  • C14.9×10 J
  • D8.32×10 J
  • E7.45×10 J

Q6:

Rn is an isotope of radon with an isotopic mass of 222.017 u. Calculate the mass defect of Rn. 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:

Zn is an isotope of zinc with an isotopic mass of 63.9291 u. Calculate the mass defect of Zn. 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:

13355Cs is an isotope of cesium with an isotopic mass of 132.905 u. Calculate the binding energy of 13355Cs. 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.

  • A1.99×10 J
  • B1.59×10 J
  • C1.75×10 J
  • D1.70×10 J
  • E1.86×10 J

Q9:

5525Mn is an isotope of manganese with an isotopic mass of 54.9380 u. Calculate the binding energy per nucleon of 5525Mn. 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.

  • A2.51×10 J
  • B1.35×10 J
  • C1.37×10 J
  • D1.26×10 J
  • E1.46×10 J

Q10:

24396Cm is an isotope of curium with an isotopic mass of 243.061 u. Calculate the binding energy per nucleon of 24396Cm. 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.

  • A2.75×10 J
  • B2.55×10 J
  • C3.05×10 J
  • D2.43×10 J
  • E2.86×10 J

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.

  • A1.46×10 J
  • B3.50×10 J
  • C1.84×10 J
  • D4.99×10 J
  • E5.84×10 J

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