Write balanced nuclear equations for the following processes. (c) Alpha emission of 146Sm

Verified step by step guidance

1. Identify the type of nuclear reaction: Alpha emission involves the release of an alpha particle, which is a helium nucleus \( ^4_2\text{He} \).
2. Write the general form of the alpha emission equation: \( ^A_Z\text{X} \rightarrow ^{A-4}_{Z-2}\text{Y} + ^4_2\text{He} \).
3. Determine the initial isotope: The problem states \( ^{146}\text{Sm} \), which means \( A = 146 \) and \( Z = 62 \) for Samarium (Sm).
4. Apply the alpha emission equation: Substitute \( A = 146 \) and \( Z = 62 \) into the general form to find the new element \( Y \) and its atomic number.
5. Identify the new element: Use the periodic table to find the element with atomic number \( Z - 2 = 60 \), which is Neodymium (Nd), and write the balanced nuclear equation.

Key Concepts

Nuclear Reactions

Nuclear reactions involve changes in an atom's nucleus and can result in the transformation of one element into another. These reactions include processes such as alpha decay, beta decay, and nuclear fission. Understanding the type of nuclear reaction is crucial for writing balanced nuclear equations, as it dictates the particles involved and the resulting isotopes.

Alpha Emission

Alpha emission is a type of radioactive decay in which an atomic nucleus emits an alpha particle, consisting of two protons and two neutrons (essentially a helium nucleus). This process decreases the atomic number of the original nucleus by two and the mass number by four, resulting in the formation of a new element. Recognizing the characteristics of alpha particles is essential for accurately balancing nuclear equations.

Balancing Nuclear Equations

Balancing nuclear equations requires ensuring that both the mass number and atomic number are conserved during the reaction. This means that the sum of the mass numbers and the sum of the atomic numbers on the reactant side must equal those on the product side. Mastery of this principle is vital for correctly representing nuclear processes, such as the alpha emission of isotopes.