Gas-phase nucleation in the atmosphere may be initiated by the condensation of sulfuric acid and water around ions. The thermodynamics of stepwise cluster ion growth must be known in order to model ion-induced nucleation of the H2SO4/H2O system. In the companion paper, we measured temperature-dependent equilibrium constants for the reactions of H2O with the H+(H2SO4)(s)(H2O)(w) cluster ions using an ion flow reactor. In this work, H2O bond enthalpies and entropies for the HSO4-(H2SO4)(s)(H2O)(w), s less than or equal to 6 and w less than or equal to 10, cluster ions were measured. The thermodynamics of H2SO4 ligand bonding in these clusters were also determined using data from previous experiments. The small positive and negative cluster ions exhibit very different chemical characteristics, but both families show trends analogous to bulk solution thermodynamics as clusters grow in size. Small negative cluster ions have a lower affinity for H2O than positive ion species, but H2SO4 bonding is considerably stronger in the negative clusters. Ion-induced nucleation of the negative H2SO4/H2O cluster ions is therefore thermodynamically favored. Addition of H2O to certain HSO4-(H2SO4)(s)(H2O)(w) cluster ions results in unusually large reaction entropies. Ab initio calculations were performed to investigate ligand bonding in the HSO4-(H2SO4)(s)(H2O) cluster ions. Stable cluster geometries comprised of multiple ions were identified for s greater than or equal to 2. Large experimental entropy changes upon H2O addition may be due to multiply ionic species formed by proton transfer within the product cluster.