2713Al + 42He → 3015P + _____A. 110nB. 210nC. 310nD. 410n
Question
2713Al + 42He → 3015P + _____A. 110nB. 210nC. 310nD. 410n
Solution
This is a nuclear reaction and we can solve for the missing particle by conserving the number of protons and neutrons before and after the reaction.
Before the reaction, we have:
- Number of protons = 27 (from Al) + 2 (from He) = 29
- Number of nucleons (protons + neutrons) = 13 (from Al) + 4 (from He) = 17
After the reaction, we have:
- Number of protons = 30 (from P)
- Number of nucleons = 15 (from P) + n (from the missing particle)
By conserving the number of protons, we have 29 = 30 + p (where p is the number of protons in the missing particle). This gives p = -1, which is not possible because the number of protons cannot be negative.
By conserving the number of nucleons, we have 17 = 15 + n (where n is the number of nucleons in the missing particle). This gives n = 2.
Therefore, the missing particle is 2 neutrons, so the correct answer is B. 2^10n.
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