Write a balanced equation for each of the following nuclear...

Write a balanced equation for each of the following nuclear reactions: (a) bismuth-212 decays into polonium- 212 (b) beryllium- 8 and a positron are produced by the decay of an unstable nucleus (c) neptunium-239 forms from the reaction of uranium-238 with a neutron and then spontaneously converts into plutonium- $-239$ (d) strontium- 90 decays into yttrium-90

Write a balanced equation for each of the following nuclear reactions:
(a) bismuth-212 decays into polonium- 212
(b) beryllium- 8 and a positron are produced by the decay of an unstable nucleus
(c) neptunium-239 forms from the reaction of uranium-238 with a neutron and then spontaneously converts into plutonium- $-239$
(d) strontium- 90 decays into yttrium-90

Key Concepts

Neutron Capture

Neutron capture is a nuclear reaction in which a nucleus absorbs a neutron, thereby increasing its mass number by one. This process can lead to the formation of a heavier isotope, which may later decay into a different element through radioactive processes.

Alpha Decay

Alpha decay is a type of radioactive decay in which an unstable nucleus emits an alpha particle, consisting of two protons and two neutrons. This emission reduces the parent nucleus's mass number by four and its atomic number by two, resulting in the formation of a new element.

Nuclear Transmutation

Nuclear transmutation refers to the conversion of one chemical element or isotope into another as a result of a nuclear reaction. This process often occurs through a combination of neutron capture and subsequent beta decay, leading to a change in the atomic number and the identity of the element.

Conservation Laws

In nuclear reactions, both the mass number (total number of nucleons) and the atomic number (number of protons) must be conserved. This universal principle ensures that the sum of nucleons and protons remains unchanged between the reactants and the products in any nuclear transformation.

Radioactive Decay

Radioactive decay is the process by which unstable nuclei transform into more stable configurations by emitting particles. The decay modes depend on the imbalance of forces within the nucleus and lead to the emission of alpha particles, beta particles, or positrons, among other types.

Beta Decay

Beta decay involves the conversion of a neutron to a proton or a proton to a neutron within the nucleus, accompanied by the emission of a beta particle (electron or positron) and a neutrino or antineutrino. Beta-minus decay involves the emission of an electron, while beta-plus decay (positron emission) involves the emission of a positron.

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