Heat capacity measurements have been conducted for monolayer propane films adsorbed on graphite in the vicinity of the melting transition. Films at ten coverages between 0.4 and 1.07 layers were studied. For coverages below n = 1.0 a very weak heat capacity peak of height similar to 2 C/Nk(B), is found at melting; the transition is centered about 67 K, in good agreement with the melting temperature found in structural studies. Above n = 1.0 the melting peak moves to higher temperatures with increasing coverage. Data for propane are compared to those found for other hydrocarbon systems on graphite and to current theories of two-dimensional melting.