In many adsorbed systems, heat capacity peaks have been observed to oc
cur near the triple-point temperature of the bulk adsorbate. These pea
ks are now understood to be due to the melting of unsaturated capillar
y condensate. In this paper we study that phase transition, presenting
new data for these peaks in CH4, Ar, and Kr adsorbed in graphite foam
, and analyzing those data in terms of competing models of melting of
capillary condensate. We conclude that capillary condensate melts alon
g a curve in the temperature-chemical potential plane that may be pred
icted from the properties of the bulk adsorbate, independent of the na
ture of the substrate.