In a nuclear decay process, uranium-238 (U-238) emits an alpha particle (which is essentially a helium-4 nucleus, \( ^4_2He \)), resulting in the formation of thorium-234 (Th-234).
The nuclear decay reaction can be represented as:
\[ ^{238}{92}U \rightarrow ^{234}{90}Th + ^{4}_{2}He \]
To summarize:
- Uranium-238 (\(^{238}{92}U\)) decays into thorium-234 (\(^{234}{90}Th\)) and emits an alpha particle (\(^{4}_{2}He\)).
- The atomic number of uranium decreases by 2 (from 92 to 90), and the mass number decreases by 4 (from 238 to 234).
So the completed equation is:
\[ ^{238}{92}U \rightarrow ^{234}{90}Th + ^{4}_{2}He \]