Final answer:
When an α particle bombards an aluminum-27 atom, it yields phosphorus-30. The balanced nuclear equation is 27^Al + 2^He → 30^P + 1^H.
Step-by-step explanation:
When an alpha particle (α particle) bombards an aluminum-27 (27^Al) atom, it yields phosphorus-30 (30^P).
The atomic number of the target nucleus, aluminum, is 13, and after the reaction, it increases to 15, which is the atomic number of phosphorus.
The mass number of the target is 27, and the mass number of the product, phosphorus-30, is 30, which indicates that a neutron is released during the reaction.
Therefore the complete balanced nuclear equation for this reaction is: 27^Al + 2^He → 30^P + 1^H