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Mass defect, binding energy and the binding energy curve sheet
5-mark answer frame

What are mass defect and binding energy? Draw the binding energy per nucleon curve and explain how it shows that energy is released in fission and fusion.

How to lay out the answer. Follow the frame, then write it in your own words.

  1. 1 · Define mass defect. Δm = [Zmₚ + (A − Z)mₙ] − M: the nucleus is lighter than its free nucleons.
  2. 2 · Define binding energy. BE = Δm c², the energy needed to split the nucleus into free nucleons; 1 u ≈ 931 MeV.
  3. 3 · Define B. Binding energy per nucleon, B = BE/A, measures stability.
  4. 4 · Draw the curve. [Graph: B (MeV) against A; rises steeply from 1.1 MeV (²H), small peaks at ⁴He, ¹²C, ¹⁶O, maximum about 8.8 MeV near A = 56, falls to 7.6 MeV at A = 238]
  5. 5 · Explain fission. A heavy nucleus (B ≈ 7.6 MeV) splits into middle nuclei (B ≈ 8.5 MeV); the extra binding, about 200 MeV, is released.
  6. 6 · Explain fusion. Light nuclei with low B join into a heavier nucleus with higher B, releasing energy.
  7. 7 · Real life. Power stations split uranium; the Sun joins hydrogen nuclei.
  8. 8 · Close in one line. So, both processes move towards iron, the most stable region.

Scoring tip: Label the axes, the peak near A = 56 and the uranium end. Then write fission on the right and fusion on the left.