Final answer:
The balancing of a nuclear reaction involves ensuring that the mass number and atomic number are conserved before and after the reaction. For positron emission and beta decay, a proper balanced reaction must show equal mass numbers and proper adjustment in atomic numbers as exemplified by the reactions ¹¹C → ¹¹B + e+ and ¹⁴C → ¹⁴N + e¯ + ve, respectively.
Step-by-step explanation:
The question appears to ask whether a certain nuclear reaction is balanced. Without the proper formatting it's difficult to understand the exact reaction, but based on similar types of reactions, we can infer that the reaction is either a beta decay or a positron emission. In both cases, the number of protons plus neutrons (the mass number) and the number of protons (the atomic number) before and after the reaction should be equal for the nuclear equation to be balanced.
For a balanced positron emission: ¹¹C → ¹¹B + e+.
The mass number remains unchanged (11), and the atomic number decreases by one in the daughter nucleus (from 6 to 5), which is balanced.
For beta decay as in ¹⁴C → ¹⁴N + e¯ + ve.
The mass number is again constant (14), but the atomic number increases by one (from 6 to 7), which is also balanced. Therefore, if the student's question refers to one of these known reactions, the nuclear reaction should be balanced assuming the mass number and atomic number are conserved in the given equation.