2. The free energy of mixing per unit volume can be expressed as: VFmix=kBT[vAln+vB(1)ln(1)+v0A(1)]+v0kBB(1) where A and B are the coefficients from the Flory-Huggins parameter. What is the free energy of mixing 1 g of polystyrene of molar mass M=106kgmol1 with 1mol of cyclohexane at T=34C. Note that at 34 C,=0.5 for a polystyrene solution in cyclohexane. The molar volume of polystyrene is vPS=9.5104 cm3mol1, and the molar volume of cyclohexane is vCH=108cm3mol1. Assume no volume change upon mixing and assume that the volume of one solvent molecule is the lattice site volume v0