In beta decay, a neutron in the nucleus of an atom is transformed into a proton while releasing a beta particle (which is an electron). For sodium-24 (represented as \(^{24}_{11}Na\)) undergoing beta decay, the resulting product will be magnesium-24.
The process can be summarized as follows:
- The mass number (A) remains the same because a neutron is converted into a proton (mass number does not change).
- The atomic number (B) will increase by 1 (since a neutron becomes a proton), going from 11 to 12.
Thus, the decay equation can be filled out as follows:
\[^{24}{11} Na \rightarrow ^{24}{12} Mg + ^{0}_{-1} e\]
Now we can match the missing parts to the options provided:
- For A (mass number of the product), it should be 24 (same as sodium).
- For B (atomic number of magnesium), it should be 12.
- For C (symbol for the product), it should be Mg.
Therefore, the correct answers are:
- A: 24 (from option f)
- B: 12 (from option d)
- C: Mg (from option e)
So the final matches are:
- A: f (24)
- B: d (12)
- C: e (Mg)