What happens to the physical properties(solubility/boiling/melting point) as chain length increases, and as functional groups are added onto the chemical compound?

As chain length increases, the boiling/melting point of hydrocarbon compounds increases. This is because whether a compound will change state from liquid to gas (boil) or not, depends upon the intermolecular forces. The weak, but numerous van der waals forces increase and therefore more energy input is required, therefore BP is greater.