The equation for the intensive Gibbs free energy of the lattice gas model is given by NG=2z+kBT[ln+(1)ln(1)]+P where z is the coordination number of the lattice and =N/V. The mechanical equation of state can be shown to be P=2z2kBTln(1) For this question, assume z=4 and =1. It is recommended that you use python for this question (though any plotting software is OK). (a) Calculate the temperature, kBTc, density, c, and pressure Pc at the critical point. (b) Choosing a pressure Pc) and the vapor (c) and the vapor (