The binding energy per nucleon for the nuclei of mass numbers 240 and 120 are 7.2 and 8.1 MeV, respe — Nuclear 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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