Which process would require the least amount of energy? a) the process for the first ionization energy b) the process for the second ionization energy c) the process fro the third ionization energy

a) the process for the first ionization energy

Every time you take a electron you're requiring more and more energy. Expelling the first one will require less energy than expelling the second and the second will require less than the third, and so on.
When you take the first one, the atom becomes positive and with that the negative forces of the electron will be more attracted to the positive charge. The more electrons that are lost, the more positive this ion will become, causing it to be more difficult to separate the electrons from the atom.