You can only ask that question for an almost restrictive class of materials, like perfect crystals, polycristaline homogeneous materials, mono-component classic liquids, etc; since the two above mentioned macroscopic properties, both depend on the microscopic elemental interactions in the material.
[1] N.K. Kuzmenko, V.M. Mikhajlov, Magnetic extrema in electronic susceptibility and heat capacity of mesoscopic systems, Phys.Lett. A296 (2002) 49, 10.1016/S0375-9601(02)00185-8.
[2] Q. Zhang,G. Li,D. Rhodes,A. Kiswandhi,T. Besara,B. Zeng,J. Sun,T. Siegrist,M. D. Johannes & L. Balicas, Superconductivity with extremely large upper critical fields in Nb2Pd0.81S5, Scientific Reports 3, Article number:1446, doi:10.1038/srep01446.