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The molar enthalpy of fusion of solid silicon is 46.4 kJ mol-1, and the molar entropy of fusion is 27.6 J K-1 mol-1.

(a) Calculate the Gibbs free energy change for the melting of 1.00 mol of silicon at 1.71E+3 K.
(b) Calculate the Gibbs free energy change for the conversion of 2.98 mol of solid silicon to liquid silicon at 1.71E+3 K.
(c) Will silicon melt spontaneously at 1.71E+3 K?
(d) At what temperature are solid and liquid silicon in equilibrium at a pressure of 1 atm?

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