In beta decay, a neutron in the nucleus of an atom is transformed into a proton, which results in the emission of a beta particle (an electron). For the given nuclear equation for sodium (Na), the process will look like this:
\[ ^{24}{11}Na \rightarrow ^{A}{B}C + ^{0}_{-1}e \]
Here, after beta decay:
- The atomic number (Z) will increase by 1 because a neutron turns into a proton. Thus:
- The original atomic number of Na is 11, so the new atomic number will be 12 (which corresponds to magnesium, Mg).
- The mass number (A) remains the same because a neutron is converting to a proton without changing the total number of nucleons.
So we write the decay as: \[ ^{24}{11}Na \rightarrow ^{24}{12}Mg + ^{0}_{-1}e \]
Now we can fill in the missing parts:
- A: 24 (the mass number remains the same)
- B: 12 (the new atomic number corresponds to magnesium)
- C: Mg (the element formed after beta decay)
Thus, the correct matches are:
- A: b (24)
- B: f (12)
- C: d (Mg)
Final Answers:
- A: b (24)
- B: f (12)
- C: d (Mg)