In beta-minus (\( \beta^- \)) decay, a neutron in the nucleus transforms into a proton, emitting an electron and an antineutrino (\(\bar{\nu}\)).
The reaction follows: \[ n \rightarrow p + e^{-} + \bar{\nu} \] The antineutrino is emitted to ensure the conservation of energy, angular momentum, and lepton number.
For the reaction:
\[ 2A + B \rightarrow 2C + D \]
The following kinetic data were obtained for three different experiments performed at the same temperature:
\[ \begin{array}{|c|c|c|c|} \hline \text{Experiment} & [A]_0 \, (\text{M}) & [B]_0 \, (\text{M}) & \text{Initial rate} \, (\text{M/s}) \\ \hline I & 0.10 & 0.10 & 0.10 \\ II & 0.20 & 0.10 & 0.40 \\ III & 0.20 & 0.20 & 0.40 \\ \hline \end{array} \]
The total order and order in [B] for the reaction are respectively: