1. Assume we have 1 mol H₂O(g) under 1 atm and 373 K. If we carefully isothermally compress the water vapor, metastable vapor can be obtained under 2 atm and 373 K in the absence of a condensation nucleus. However, the metastable water vapor transformed into liquid water soon. Calculate the H, G, and S of the process of metastable water vapor transforming into liquid water. The molar enthalpy of vaporization (_vapH) of water is 46.02kJ/mol, and the density of water is 1000 kg/m. Water vapor can be regarded as ideal gas, and the volume of liquid can be regarded as not affected by pressure. 2. Assume we have an adiabatic container that has an adiabatic partition within. In the left part of the container we have 1 mol Ar(g) under 100 kPa and 300 K; in the right part we have 2 mol N₂(g) under 200 kPa and 400 K. Now we take away the partition and let the gas spontaneously mix with each other until approaching the equilibrium. Calculate for the entropy change S of the mixing process.