A method for producing a further intermediate product, comprising the steps of a. providing a feedstock that comprises a first polyester; b. contacting the first polyester with a further organic compound in a volume section V 3 to obtain a further initial mixture; c. reducing a weight average molar mass of the first polyester in the volume section V 3 to obtain a first intermediate mixture, wherein the first intermediate mixture comprises i. a first intermediate product that has an intrinsic viscosity in the range of 0.010 dL/g to 0.120 dL/g, ii. the further organic compound; d. adjusting a b value of the Hunter Lab colour coordinates of the first intermediate mixture in a volume section V 5; e. increasing the weight average molar mass of the first intermediate product in the first intermediate mixture, in a volume section V 6, to obtain a further intermediate mixture that comprises a further intermediate product, wherein i. a temperature in the volume section V 6 is in the range of 260 °C to 295 °C, ii. the further intermediate product that exits the volume section V 6 has an intrinsic viscosity in the range of 0.15 dL/g to 0.45 dL/g; f. further increasing the weight average molar mass of the further intermediate product in the further intermediate mixture in a volume section V 7, wherein i. a temperature in the volume section V 7 is in the range of 240 °C to 310 °C, ii. the further intermediate product that exits the volume section V 7 has an intrinsic viscosity in the range of 0.50 dL/g to 0.80 dL/g; wherein, the b value of the Hunter Lab colour coordinates of the first intermediate mixture is adjusted so that b is in the range of -10 to -3, and the further intermediate product that exits the volume section V 7 has, in Hunter Lab colour coordinates, an L value in the range of 50 to 70, and a b value in the range of 0 to 6, with the intrinsic viscosity, the temperature and the Hunter Lab colour coordinate b and L determined according to the methods described herein. a. providing a feedstock that comprises a first polyester; b. contacting the first polyester with a further organic compound in a volume section V 3 to obtain a further initial mixture; c. reducing a weight average molar mass of the first polyester in the volume section V 3 to obtain a first intermediate mixture, wherein the first intermediate mixture comprises i. a first intermediate product that has an intrinsic viscosity in the range of 0.010 dL/g to 0.120 dL/g, ii. the further organic compound; i. a first intermediate product that has an intrinsic viscosity in the range of 0.010 dL/g to 0.120 dL/g, ii. the further organic compound; d. adjusting a b value of the Hunter Lab colour coordinates of the first intermediate mixture in a volume section V 5; e. increasing the weight average molar mass of the first intermediate product in the first intermediate mixture, in a volume section V 6, to obtain a further intermediate mixture that comprises a further intermediate product, wherein i. a temperature in the volume section V 6 is in the range of 260 °C to 295 °C, ii. the further intermediate product that exits the volume section V 6 has an intrinsic viscosity in the range of 0.15 dL/g to 0.45 dL/g; i. a temperature in the volume section V 6 is in the range of 260 °C to 295 °C, ii. the further intermediate product that exits the volume section V 6 has an intrinsic viscosity in the range of 0.15 dL/g to 0.45 dL/g; f. further increasing the weight average molar mass of the further intermediate product in the further intermediate mixture in a volume section V 7, wherein i. a temperature in the volume section V 7 is in the range of 240 °C to 310 °C, ii. the further intermediate product that exits the volume section V 7 has an intrinsic viscosity in the range of 0.50 dL/g to 0.80 dL/g; i. a temperature in the volume section V 7 is in the range of 240 °C to 310 °C, ii. the further intermediate product that exits the volume section V 7 has an intrinsic viscosity in the range of 0.50 dL/g to 0.80 dL/g; the b value of the Hunter Lab colour coordinates of the first intermediate mixture is adjusted so that b is in the range of -10 to -3, and the further intermediate product that exits the volume section V 7 has, in Hunter Lab colour coordinates, an L value in the range of 50 to 70, and a b value in the range of 0 to 6, with the intrinsic viscosity, the temperature and the Hunter Lab colour coordinate b and L determined according to the methods described herein.