my explanation: http://www.scirp.org/Journal/PaperInformation.aspx?PaperID=80645
Entropy is the measure of the disorder.Supposed T₁ < T₂ it is ΔS₁²= -ΔS₂¹ only if T₁&T₂ are time relaxation points.Otherwise it is ΔS₁²< -ΔS₂¹. Anyhow the specific heat (c) is affected by the network's extent (hydrogen bonding percentage),and affects the heat transfer coefficient.