The conventional method for determining specific heat for asphalt is listed as follows: c = (0.388 + 0.00045*T)/(d 0.5 )

c = specific heat in BTU per pound per °F or calories per gram per °C
d = specific gravity of the asphalt at 60/60°F
T = temperature, F A typical value for specific heat for a paving grade asphalt binder at 300°F is 0.515. This assumes a specific gravity of 1.030. This information comes from page 870 of Asphalts and Allied Substances, 4th Edition , by Herbert Abraham (published in 1938).