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Calculate the energy released in the decay (in MeV). (Assume 1 u = 931.5 MeV/c2.)

Question

Calculate the energy released in the decay (in MeV). (Assume 1 u = 931.5 MeV/c2.)

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Solution

To calculate the energy released in the decay, we need to know the mass difference between the initial and final states. The formula to calculate the energy released is given by Einstein's famous equation, E = mc^2, where E is the energy, m is the mass difference, and c is the speed of light.

First, we need to convert the mass difference from atomic mass units (u) to kilograms (kg). We can use the conversion factor 1 u = 1.66054 x 10^-27 kg.

Next, we can calculate the energy released using the formula E = mc^2. The speed of light, c, is approximately 3 x 10^8 m/s.

Finally, we can convert the energy from joules (J) to megaelectronvolts (MeV). The conversion factor is 1 MeV = 1.60218 x 10^-13 J.

By following these steps, we can calculate the energy released in the decay in MeV.

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