Current analysis pertains with the measurement of molar heat capacities, (CP)123 for 1-butyl-2,3-dimethylimidazolium tetrafluoroborate [Bdmim][BF4] or 1-ethyl-3-methylimidazolium tetrafluoroborate [Emim][BF4] (1) + 1-methylpyrrolidin-2-one (NMP) (2) + pyrrolidin-2-one (2-PY) (3) ternary and CP for [Bdmim][BF4] (1) + NMP (2) or 2-PY (3) binary mixtures within temperature series 293.15–308.15 K in a gap of 5 K. Excess heat capacities, (CPE)123, CPE have been determined using measured data. (CPE)123, CPE are positive at studied compositions for the ternary and binary mixtures, respectively. (CPE)123, CPE data have been tested in terms of Graph theory. A reasonable agreement has been perceived between experimental and calculated (CPE)123, CPE data.