please include all steps, unit conversation, all equations.

A simple distillation column separates a mixture into two product streams. The feed (feed=.947g/ml) enters the unit through a cylindrical pipe of 7.62cm radius with a velocity of vfeed=vmax[1(r/R)2] with vmax=5cm/min. The condensed light product (light=.869g/ml ) leaves as a volumetric flowrate of .0054L/s. The heavy product (heavy=.982g/ml) exits from the bottom through a 5.1cm diameter pipe with an average velocity of .10cm/s. Based on the information given, determine whether you think the distillation column is operating properly. A simple distillation column separates a mixture into two product streams. The feed (feed=.947g/ml) enters the unit through a cylindrical pipe of 7.62cm radius with a velocity of vfeed=vmax[1(r/R)2] with vmax=5cm/min. The condensed light product (light=.869g/ml ) leaves as a volumetric flowrate of .0054L/s. The heavy product (heavy=.982g/ml) exits from the bottom through a 5.1cm diameter pipe with an average velocity of .10cm/s. Based on the information given, determine whether you think the distillation column is operating properly