Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in alpha decay, alpha particles are ejected from the nucleus. which equ…

Question

in alpha decay, alpha particles are ejected from the nucleus. which equation represents alpha decay?
\\( \ce{_{95}^{241}am -> _{93}^{237}np + _2^4he} \\)
\\( \ce{_{9}^{18}f -> _{8}^{18}o + _1^0e} \\)
\\( \ce{_{6}^{14}c -> _{7}^{14}n + _{-1}^0e} \\)
\\( \ce{_{66}^{152}dy -> _{66}^{152}dy + y} \\)

Explanation:

Brief Explanations
  1. Recall the definition of alpha decay: In alpha decay, an atomic nucleus emits an alpha particle (which is a helium nucleus, $\ce{_{2}^{4}He}$), resulting in a new nucleus with a mass number reduced by 4 and an atomic number reduced by 2.
  2. Analyze each option:
  • Option A: The mass number of Am is 241, and after decay, the mass number of Np is 237 (241 - 4 = 237), and the atomic number of Am is 95, and after decay, the atomic number of Np is 93 (95 - 2 = 93), and it emits $\ce{_{2}^{4}He}$, which fits the alpha decay pattern.
  • Option B: This emits a positron ($\ce{_{1}^{0}e}$), which is beta - plus decay, not alpha decay.
  • Option C: This emits an electron ($\ce{_{- 1}^{0}e}$), which is beta - minus decay, not alpha decay.
  • Option D: The nuclide remains the same and emits a gamma ray (represented by $y$), which is gamma decay, not alpha decay.

Answer:

A. $\ce{_{95}^{241}Am
ightarrow _{93}^{237}Np + _{2}^{4}He}$