Problem 2 (20 points) We discussed three types of attactive inter-molecular potentials: dipole-dipole, dipole-induced dipole, and London dispersion, which collectively give rise to the Van der Waals interaction. (2.a ) Is the strength of these potentials higher or lower when the gas density is increased? (4 points) (2.b) Which one of the three potentials depends on temperature? Explain why. (4 points) (2.c) Rank order the strength of inter-molecular attraction for the following pairs of molecules: methane-methane, ethane-ethane, and methane-ethane. (4 points) ( 2.d) Which of the three interactions are expected between CO2 and H2O? (4 points) ( 2.e ) The solubility of alcohols C2H5OH in water is infinity at room temperature, whereas that for C7H15OH is very low. Rationalize the difference. (4 points)