Calculate the Q-value in the following decays:
(a) `^19 O rarr ^19 F + e + vec v`.
(b) `^25 A1 rarr ^25 Mg + e^+ + v`.
The atomic masses needed are as follows :
`^19 O 19.003576 u`
`^19 F 18.998403 u`
`^25 A1 24.990432 u`
`^25 Mg 24.985839 u`

Explanation

To calculate the Q-value for the given nuclear decays, we will use the formula:

\[ Q = (M_{\text{initial}} - M_{\text{final}})c^2 \]

Where:
- \( M_{\text{initial}} \) is the mass of the initial nucleus.
- \( M_{\text{final}} \) is the sum of the masses of the final products.
- \( c^2 \) is the conversion factor from atomic mass units (u) to mega electron volts (MeV), which is approximately \( 931.5 \, \text{MeV/u} \).
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