Write balanced nuclear equations for the following processes. (a) Alpha emission of 162Re

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Identify the process: Alpha emission involves the release of an alpha particle, which is a helium nucleus \( ^4_2\text{He} \).

Write the general form of the nuclear equation for alpha emission: \( ^A_Z\text{X} \rightarrow ^{A-4}_{Z-2}\text{Y} + ^4_2\text{He} \).

Apply the general form to the given isotope: \( ^{162}_{75}\text{Re} \rightarrow ^{158}_{73}\text{Y} + ^4_2\text{He} \).

Ensure the equation is balanced by checking that the sum of atomic numbers and mass numbers are equal on both sides of the equation.

Verify the identity of the new element formed (\( ^{158}_{73}\text{Y} \)) using the periodic table to confirm the atomic number corresponds to the correct element.

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Nuclear Reactions

Nuclear reactions involve changes in an atom's nucleus and can result in the emission of particles or radiation. These reactions differ from chemical reactions, which involve electron interactions. Understanding nuclear reactions is essential for writing balanced nuclear equations, as they describe the transformation of one element into another or the release of energy.

Alpha Emission

Alpha emission is a type of radioactive decay where an atomic nucleus releases an alpha particle, consisting of two protons and two neutrons (essentially a helium nucleus). This process decreases the atomic number by two and the mass number by four, resulting in the formation of a new element. Recognizing the characteristics of alpha particles is crucial 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 both sides of the equation must be equal. Mastery of this concept is vital for correctly representing nuclear processes, such as alpha emission, in a balanced form.