At 1100 K, solid SiO₂ has values of enthalpy and entropy of -856.84 [kJ/mol] and 124.51 [J/mol K], respectively. At 2500 K, liquid SiO₂ has values of enthalpy and entropy of 738.44 [kJ/mol] and 191.94 [J/mol K], respectively. The heat capacities of the solid and liquid phases are given by: (Cp)s =53.466+0.02706T1.27105T²+2.19109T³ [J/(molK)] (1) SiO₂ (Cp)l = 85.772 [J/(mol K)]. (2) SiO₂ An alternative criteria for chemical equilibrium between two phases and of pure component i can be written as: (Gi/T)=(Gi/T) (3) (a) Using calculus of thermodynamic equations first show that the partial derivative of this function with respect to temperature at constant pressure is given by [(Gi/T)/T]p=Hi/T²(b) Using only the data given, determine the temperature of the phase transition between solid and liquid. (c) Calculate the enthalpy of fusion.