# Assume That A Neutron Breaks Into A Proton And An Electron. What Will Be The Energy Released During This Process?

As given :

Neutron $$\rightarrow$$Proton + Electron

A we know:

Mass of neutron,$$m_{n} = 1.6725 * 10^{-27} kg$$

Mass of proton,$$m_{p} = 1.6725 * 10^{-27} kg$$

Mass of electron, $$m_{e} = 9 * 10^{-31} kg$$ $$\Delta m = (m_{p} + m_{e}) – m_{n}$$ $$\Rightarrow [1.6725 * 10^{-27} + 9 * 10^{-31} – 1.6725 * 10^{-27}]kg$$ $$\Rightarrow 9 * 10^{-31} kg$$

The energy released during this process, E = $$\Delta mc^{2}$$ $$9 * 10^{-31} * (3 * 10^{8})^{2} J$$ $$\Rightarrow \frac{9 * 10^{-31} * 9 * 10^{16}}{1.6 * 10^{-13}}$$ $$\Rightarrow 0.51 MeV$$

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