While relaxation calorimetry can not be applied to detect the first-order phase transition, some possibility is discussed by using a relaxation calorimeter (PPMS). The method proposed here is to analyze all the temperature data during one scan to reproduce the heat capacity. We applied this method to the heat capacity measurement of KH2PO4 near the ferroelectric transition at Tc = 122 K and obtained an extremely sharp transition. We also tried the measurement on BaTiO3 near the first-order transitions at Tc = 203 K. However, the result was not quite as expected.