Final answer:
The balanced nuclear equation among the provided options is option d, which conserves both mass and atomic numbers, making it the only option to satisfy the requirement for a balanced nuclear reaction.
Step-by-step explanation:
To determine which option represents a balanced nuclear equation, we must ensure that both the mass numbers (number of protons plus neutrons) and the atomic numbers (number of protons) are conserved on both sides of the equation.
The letters 'qe' mentioned in the options seem to be a typo, as 'qe' does not correspond to any recognised particle or notation in nuclear chemistry. However, if we assume 'qe' is meant to represent a particle such as an electron, we would still need to consider conservation laws.
Let's examine each option to find the balanced equation:
- Option a does not conserve the mass number or atomic number.
- Option b conserves atomic number but not mass number.
- Option c does not conserve mass number or atomic number.
- Option d conserves both mass number and atomic number. Thus, option d is the correct balanced nuclear equation.
In summary, a balanced nuclear equation must conserve both mass and atomic numbers. Option d, 2011Na + 2312Mg → 2411Na + 2212Mg, is the balanced nuclear equation among the given options.