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![**Topic: Calculating Energy Released in Nuclear Decay**
**Problem Statement:**
Find the energy released in the decay of uranium-238 to thorium-234.
**Explanation:**
When uranium-238 (\( ^{238}\text{U} \)) undergoes radioactive decay, it transforms into thorium-234 (\( ^{234}\text{Th} \)). This process involves the emission of an alpha particle (\( ^{4}\text{He} \)), as detailed in the nuclear equation:
\[ ^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He} + \text{energy} \]
To calculate the energy released in this decay, one must consider the masses of the reactants and products, applying the conservation of mass and energy principles (Einstein's equation: \( E = mc^2 \), where \(E\) is energy, \(m\) is mass, and \(c\) is the speed of light).
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Transcribed Image Text:**Topic: Calculating Energy Released in Nuclear Decay**
**Problem Statement:**
Find the energy released in the decay of uranium-238 to thorium-234.
**Explanation:**
When uranium-238 (\( ^{238}\text{U} \)) undergoes radioactive decay, it transforms into thorium-234 (\( ^{234}\text{Th} \)). This process involves the emission of an alpha particle (\( ^{4}\text{He} \)), as detailed in the nuclear equation:
\[ ^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He} + \text{energy} \]
To calculate the energy released in this decay, one must consider the masses of the reactants and products, applying the conservation of mass and energy principles (Einstein's equation: \( E = mc^2 \), where \(E\) is energy, \(m\) is mass, and \(c\) is the speed of light).
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