Classify the following statements as true or false. If...

Classify the following statements as true or false. If false, correct the statement to make it true. (a) The mass number increases in beta emission. (b) A radioactive species with a large rate constant, $k$, decays very slowly. (c) Fusion gives off less energy per gram of fuel than fission.

Classify the following statements as true or false. If false, correct the statement to make it true.
(a) The mass number increases in beta emission.
(b) A radioactive species with a large rate constant, $k$, decays very slowly.
(c) Fusion gives off less energy per gram of fuel than fission.

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Key Concepts

Nuclear Fusion vs Fission Energy Yields

Nuclear fusion and fission are two types of nuclear reactions that release energy, but they operate under different mechanisms and yield different amounts of energy per unit mass. Fission typically releases a relatively high amount of energy per gram of fuel when compared to fusion, making it a more energy-dense process despite the challenges associated with controlling chain reactions.

Radioactive Decay Rate Constant and Half-Life

The rate constant, often denoted by k, is a measure of the probability per unit time that a nucleus will decay. A larger k indicates a higher likelihood of decay in a given time interval, meaning a shorter half-life and faster decay process. Conversely, a small k implies a slower decay as the half-life is longer.

Beta Decay

Beta decay is a type of radioactive decay in which a neutron in the nucleus is transformed into a proton with the emission of an electron (beta particle) and an antineutrino, or vice versa. Importantly, during this process the mass number remains unchanged because while the composition of the nucleus changes (the neutron-to-proton ratio is altered), the total number of nucleons (protons and neutrons) does not.

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