Nuclear Chemistry and RadioactivitymediumINTEGER

The binding energy per nucleon for the nuclei of mass numbers 240 and 120 are 7.2 and 8.1 MeV, respeNuclear Chemistry and Radioactivity Chemistry Question

Question

The binding energy per nucleon for the nuclei of mass numbers 240 and 120 are 7.2 and 8.1 MeV, respectively. If a nucleus of mass number 240 breaks into two exactly identical nuclei, the amount of energy released (in MeV) is

Answer: 0216

💡 Solution & Explanation

Total binding energy of the parent nucleus = $240 \times 7.2 = 1728 \text{ MeV}$. Total binding energy of the two product nuclei = $2 \times (120 \times 8.1) = 240 \times 8.1 = 1944 \text{ MeV}$. The energy released is the difference in binding energy: $1944 - 1728 = 216 \text{ MeV}$. Therefore, correct answer is 0216.

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