A2 Daily A Level Physics question
A researcher compares the energy released per initial nucleon in two devices: a D–T fusion plasma where D + T → He‑4 + n, and a thermal reactor where U‑235 typically fissions into two fragments near A ≈ 120. Use these approximate average binding energies per nucleon: D ≈ 1.1 MeV; T ≈ 2.8 MeV; He‑4 ≈ 7.1 MeV; U‑235 ≈ 7.6 MeV; typical fission fragments near A ≈ 120 ≈ 8.5 MeV. Which statement must be true based on a one‑step estimate using changes in binding energy per nucleon?
Answer
The correct answer is C.
Correct: C — D–T fusion releases several times more energy per initial nucleon than U‑235 fission, because the increase in average binding energy per nucleon is about 3–4 MeV for fusion but only about 1 MeV for fission. Using the data: fusion increases total binding by about 4×7.1 − (2×1.1 + 3×2.8) ≈ 17.8 MeV per reaction, which is ≈3.6 MeV per initial nucleon (5 nucleons); fission raises BE per nucleon from ≈7.6 to ≈8.5, a gain ≈0.9 MeV per nucleon. A Overstates fission and ignores that Δ(BE/nucleon) for fission is only about 1 MeV, far smaller than the ≈3–4 MeV per initial nucleon for D–T fusion. B Misconception: the per‑nucleon energy changes are not similar; the fusion estimate is several times larger than the fission estimate. C This matches the quantitative comparison of binding‑energy increases per nucleon, so it is correct. D Incorrect: nucleon number is conserved in D–T fusion (5 in, 5 out with the neutron), and comparing total binding‑energy change per initial nucleon is precisely how we estimate the released energy.