Electrospray mass spectrometry is a recently developed technique for looking
at large molecules with a mass spectrometer. In this technique, molecular
ions, each associated with one or more \(\mathrm{H}^{+}\)ions, are prepared
under mild conditions in the mass spectrometer. As an example, a protein (P)
with a molecular mass of 11,812 gives clusters of the type \((\mathrm{P}+8
\mathrm{H})^{8+},(\mathrm{P}+7 \mathrm{H})^{7+}\), and \((\mathrm{P}+6
\mathrm{H})^{6+}\). At what mass-to-charge values do these three clusters
appear in the mass spectrum?