At -5 degrees Celsius the pressure of the ice vapors is 3.012mmHg and the pressure of the super cool water is 3.163mmHg.  The latent heat for ice melting is 5.85kJ/mol. Calculate the molar change in a) Gibbs energy, ΔG, and b) entropy, ΔS, at the -5 degrees Celsius temperature for the following reaction: H2O(l) -> H2O(s).

The water vapor is considered ideal gas.