For those that are not stable, identify both the decay mode and the daughter nucleus.

Verified step by step guidance

1. Identify the type of instability in the nucleus by examining the neutron-to-proton ratio. If the ratio is too high, the nucleus is likely to undergo beta-minus decay. If the ratio is too low, it may undergo beta-plus decay or electron capture.
2. Determine the decay mode based on the type of instability. For beta-minus decay, a neutron converts into a proton, emitting an electron and an antineutrino. For beta-plus decay, a proton converts into a neutron, emitting a positron and a neutrino. For electron capture, the nucleus captures an orbital electron, converting a proton into a neutron and emitting a neutrino.
3. Write the nuclear equation for the decay process. For beta-minus decay, the atomic number increases by 1 while the mass number remains unchanged. For beta-plus decay or electron capture, the atomic number decreases by 1 while the mass number remains unchanged.
4. Identify the daughter nucleus by using the updated atomic number and mass number from the nuclear equation. Use the periodic table to find the element corresponding to the new atomic number.
5. Verify the stability of the daughter nucleus. If the daughter nucleus is still unstable, repeat the process to determine its subsequent decay mode and resulting nucleus.

Key Concepts

Radioactive Decay

Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. This can occur in various forms, including alpha decay, beta decay, and gamma decay. Each type of decay results in the transformation of the original nucleus into a different element or isotope, known as the daughter nucleus.

Decay Modes

Decay modes refer to the specific pathways through which a radioactive nucleus transforms into a more stable configuration. Common decay modes include alpha decay, where a helium nucleus is emitted, and beta decay, where a neutron is converted into a proton, emitting an electron. Understanding these modes is essential for predicting the behavior of unstable isotopes.

Daughter Nucleus

The daughter nucleus is the product formed when a parent nucleus undergoes radioactive decay. This new nucleus may be stable or unstable, and its properties depend on the decay mode. Identifying the daughter nucleus is crucial for understanding the implications of the decay process, including its potential applications in fields like nuclear medicine and radiometric dating.