According to the Weiss theory of ferromagnetism, there is an intimate connection between the specific heat of a body and its magnetisation. Weiss has shown that the magnetic energy per cubic centimetre of a ferromagnetic substance is:- W = -½HI (1) where I is the intensity of magnetisation and H is the molecular field. Further, it is assumed that H = NI (2) where N is a constant depending on the material itself. Thus W = -½NI2 and dW/dT = -½Nd/dT (I2) where T is the temperature. dW/dT will contribute to the specific heat of the substance which will become equal to S = s + 1/ρJ dW/dT, where s = specific heat neglecting magnetic contribution, S = total specific heat, ρ = density, J = mechanical equivalent of heat, Therefore S = s - N/2ρJ d/dT (I2).
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Sucksmith et al. (1926) studied this question.