A process for making a carboxylic acid composition comprising: (a) furan-2,5-dicarboxylic acid in an amount greater than 99.5 weight percent; (b) b* value less than 4; and (c) 5-formyl furan-2-carboxylic acid (FFCA) is present in a range of less than 1000 ppm; the process comprising: oxidizing 5-(hydroxymethyl)furfural (5-HMF) in the presence of oxygen, a solvent comprising acetic acid with or without the presence of water, and a catalyst system comprising cobalt, manganese and bromine, wherein the weight ratio of cobalt to manganese in the reaction mixture is from 10 to 400 and the weight ratio of cobalt to bromine is from 0.7 to 3.5, and wherein the cobalt concentration ranges from 1,000 ppm to 6,000 ppm, and the amount of manganese from 2 ppm to 600 ppm, and the amount of bromine from 300 ppm to 4,500 ppm with respect to the total weight of the liquid in the reaction medium, at a temperature of 100 °C to 220 °C to produce the carboxylic acid composition comprising furan-2,5-dicarboxylic acid to generate a crude carboxylic acid slurry comprising FDCA (furan-2,5-dicarboxylic acid); removing impurities from the crude carboxylic acid slurry in a liquid displacement zone to form a low impurity slurry stream; oxidizing the low impurity slurry stream in a secondary oxidation zone with an oxidizing gas such as air to produce a secondary oxidation slurry stream, in the presence of a catalyst system comprising cobalt, manganese and bromine, wherein the cobalt concentration ranges from 10 ppm to 600 ppm, and the amount of manganese from 0.1 ppm to 100 ppm, and the amount of bromine from 3 ppm to 600 ppm with respect to the total weight of the liquid in the reaction medium of the secondary oxidation zone, wherein oxidation in the secondary oxidation zone is at higher temperature than the oxidation in the primary oxidation zone to enhance impurity removal; routing the secondary oxidation slurry stream to a crystallization zone to form a crystallized slurry stream; cooling the crystallized slurry stream in a cooling zone and routing the resulting cooled crystallized slurry stream to a solid-liquid separation zone to generate a purified wet cake stream comprising FDCA; and drying the purified wet cake stream comprising FDCA in a drying zone to generate a dry carboxylic acid product stream comprising purified FDCA (pFDCA). (a) furan-2,5-dicarboxylic acid in an amount greater than 99.5 weight percent; (b) b* value less than 4; and (c) 5-formyl furan-2-carboxylic acid (FFCA) is present in a range of less than 1000 ppm; oxidizing 5-(hydroxymethyl)furfural (5-HMF) in the presence of oxygen, a solvent comprising acetic acid with or without the presence of water, and a catalyst system comprising cobalt, manganese and bromine, wherein the weight ratio of cobalt to manganese in the reaction mixture is from 10 to 400 and the weight ratio of cobalt to bromine is from 0.7 to 3.5, and wherein the cobalt concentration ranges from 1,000 ppm to 6,000 ppm, and the amount of manganese from 2 ppm to 600 ppm, and the amount of bromine from 300 ppm to 4,500 ppm with respect to the total weight of the liquid in the reaction medium, at a temperature of 100 °C to 220 °C to produce the carboxylic acid composition comprising furan-2,5-dicarboxylic acid to generate a crude carboxylic acid slurry comprising FDCA (furan-2,5-dicarboxylic acid); removing impurities from the crude carboxylic acid slurry in a liquid displacement zone to form a low impurity slurry stream; oxidizing the low impurity slurry stream in a secondary oxidation zone with an oxidizing gas such as air to produce a secondary oxidation slurry stream, in the presence of a catalyst system comprising cobalt, manganese and bromine, wherein the cobalt concentration ranges from 10 ppm to 600 ppm, and the amount of manganese from 0.1 ppm to 100 ppm, and the amount of bromine from 3 ppm to 600 ppm with respect to the total weight of the liquid in the reaction medium of the secondary oxidation zone, wherein oxidation in the secondary oxidation zone is at higher temperature than the oxidation in the primary oxidation zone to enhance impurity removal; routing the secondary oxidation slurry stream to a crystallization zone to form a crystallized slurry stream; cooling the crystallized slurry stream in a cooling zone and routing the resulting cooled crystallized slurry stream to a solid-liquid separation zone to generate a purified wet cake stream comprising FDCA; and drying the purified wet cake stream comprising FDCA in a drying zone to generate a dry carboxylic acid product stream comprising purified FDCA (pFDCA).