Determine the compositions and quantities of equilibrium gas and liquid when 10 lb moles of a mixture of  40 mole percent methane, 17 mole percent propane, and 53 mole percent n-pentane are brought to equilibrium at 160 ^oF and 500 psia?

A liquid of 80 mole percent propane and 20 mole percent n-pentane is to be diluted with methane . Will all mixtures of the liquid and methane be single phase at 160 F and 1500 psia? Explain your answer