The mechanism and peculiar nature of 10 K class superconductor κ-(BEDT-TTF)2X system is still remains as open questions in condensed matter science. In order to clarify thermodynamic behavior of these organic superconductors, we are studying the behavior occurs by pressure in the typical phase diagram of the dimer-Mott system. It is well known that superconductor transition temperature (Tc) of κ-[(BEDT-TTF)1-x(BEDSe-TTF)x]2Cu[N(CN)2]Br shift to low-temperature with increase of x due to the increase of chemical pressure. We have performed ac heat capacity measurements for x = 0.05 and 0.1 samples and found that a systematic decrease of transition temperatures occurs with the increase of external pressure. In the low x region, the substitution certainly works as a chemical pressure. On the other hand, the relaxation calorimetry data of x = 0.17 show an anomalous enhancement of CpT-1 under 8 T, probably due to the antiferromagnetic fluctuations to make SDW-like ground state in higher x region.