A thorium-232 nucleus decays by a series of alpha and beta emissions until it reaches lead-208.

step 1 So for this question, they are telling us to determine how many alpha emissions and how many bet

A thorium-232 nucleus decays by a series of alpha and beta...

Key Concepts

Nuclear Decay Chain

A nuclear decay chain, or series, refers to the sequential process by which a radioactive nucleus undergoes multiple decay events (such as alpha and beta decays) to transform step by step into a more stable nucleus. The chain is governed by the changes in both mass number and atomic number achieved through each decay mode.

Conservation Laws in Nuclear Reactions

In nuclear decay processes, conservation laws—especially those pertaining to mass number and atomic number—are essential. Each decay event must obey these conservation laws, meaning that the total mass number is reduced in a predictable way during alpha decay and the atomic number is adjusted predictably during both alpha and beta decays, enabling the calculation of the number of each type of emission required to transform one element into another.

Alpha Decay

Alpha decay is a nuclear process in which an unstable nucleus emits an alpha particle (consisting of two protons and two neutrons). This emission decreases the mass number of the nucleus by 4 and its atomic number by 2, significantly changing the identity of the element.

Beta Decay

Beta decay is a type of radioactive decay where a neutron converts into a proton (or vice versa) with the emission of a beta particle (electron or positron). This process does not change the mass number of the nucleus but increases or decreases the atomic number by 1, thereby altering the chemical element.

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