A multi-stage distillation column separates a single feed stream into a distillate stream and a bottom product stream. The feed has a flowrate of 57 kmol s^-1 and is a binary mixture of acetic acid and acrylic acid. The mole fraction of acetic acid in the feed stream is 0.061. The recovery of acetic acid to the distillate stream is 95% and the distillate molar flowrate is 6 kmol s^-1.

Calculate the mole fraction of acetic acid in the distillate.