The d and f electrons in correlated metals are often neither fully localized around their host nuclei nor fully itinerant. This localized/ itinerant duality underlies the correlated electronic states of the high-T c cuprate superconductors and the heavy-fermion intermetallics and is nowhere more apparent than in the 5f valence electrons of plutonium. Here, we report the full set of symmetryresolved elastic moduli of PuCoGa 5 -the highest T c superconductor of the heavy fermions (T c = 18.5 K)-and find that the bulk modulus softens anomalously over a wide range in temperature above T c . The elastic symmetry channel in which this softening occurs is characteristic of a valence instability-therefore, we identify the elastic softening with fluctuations of the plutonium 5f mixed-valence state. These valence fluctuations disappear when the superconducting gap opens at T c , suggesting that electrons near the Fermi surface play an essential role in the mixed-valence physics of this system and that PuCoGa 5 avoids a valence transition by entering the superconducting state. The lack of magnetism in PuCoGa 5 has made it difficult to reconcile with most other heavy-fermion superconductors, where superconductivity is generally believed to be mediated by magnetic fluctuations. Our observations suggest that valence fluctuations play a critical role in the unusually high T c of PuCoGa 5 .unconventional superconductivity | heavy fermions | quantum criticality | valence fluctuations | resonant ultrasound spectroscopy P uCoGa 5 enters the superconducting state below T c = 18:5 K (1)-an order of magnitude higher than all Ce-or U-based superconductors. This contrast raises the question of whether PuCoGa 5 simply benefits from a higher superconducting-pairing energy scale than its U-and Ce-based relatives or instead, whether PuCoGa 5 is host to a completely different pairing mechanism. In many lanthanide and actinide compounds, the f electrons are nearly degenerate with the conduction band. In addition, the outer f-shell states are close in energy and may support two (or more) nearly degenerate valence configurations (2). In some cases, this valence degeneracy becomes unstable, leading to valence fluctuations and ultimately, a transition to a different valence state as a function of temperature, pressure, and/or doping (3). X-ray and photoemission spectroscopy (4, 5), neutron form factor measurements (6), and theoretical calculations (7) all indicate that PuCoGa 5 is in an intermediate valence state, with the 5f 6 (Pu 2+