1 . An alkoxylated polyethyleneimine hydrophilically-modified fiber, wherein the alkoxylated polyethyleneimine has a weight average molecular weight of 600 to 25,000 and contains 1 to 40 alkylene oxide units per nitrogen atom.
2 . The alkoxylated polyethyleneimine hydrophilically-modified fiber according to claim 1 , wherein the fiber comprises polyamide, polyester, cotton fabric, and combination thereof.
3 . The alkoxylated polyethyleneimine hydrophilically-modified fiber according to claim 1 , wherein the alkoxylated polyethyleneimine has a weight average molecular weight of 2,000 to 20,000.
4 . The alkoxylated polyethyleneimine hydrophilically-modified fiber according to claim 1 , wherein the alkoxylated polyethyleneimine contains 10 to 30, alkylene oxide units per nitrogen atom.
5 . The alkoxylated polyethyleneimine hydrophilically-modified fiber according to claim 1 , wherein the alkoxylated polyethyleneimine comprises ethoxylated polyethyleneimine, propoxylated polyethyleneimine, butoxylated polyethyleneimine, and combination thereof.
6 . (canceled)
7 . The method according to claim 10 , wherein the fiber comprises polyamide, polyester, cotton fabric, and combination thereof.
8 . The method according to claim 10 , wherein the alkoxylated polyethyleneimine has a weight average molecular weight of 2,000 to 20,000.
9 . The method according to claim 10 , wherein the alkoxylated polyethyleneimine contains 10 to 30, alkylene oxide units per nitrogen atom.
10 . A method of improving hydrophilicity of fiber comprising impregnating the fiber with an aqueous solution containing an alkoxylated polyethyleneimine, wherein the alkoxylated polyethyleneimine has a weight average molecular weight of 600 to 25,000 and contains 1 to 40 alkylene oxide units per nitrogen atom.
11 . The method according to claim 10 , wherein the aqueous solution comprises 1-8 g/L alkoxylated polyethyleneimine based on the total weight of the aqueous solution.
12 . The alkoxylated polyethyleneimine hydrophilically-modified fiber according to claim 1 , wherein the alkoxylated polyethyleneimine has a weight average molecular weight of 5,000 to 15,000.
13 . The alkoxylated polyethyleneimine hydrophilically-modified fiber according to claim 1 , wherein the alkoxylated polyethyleneimine contains 18 to 22 alkylene oxide units per nitrogen atom.
14 . The method according to claim 10 , wherein the alkoxylated polyethyleneimine comprises ethoxylated polyethyleneimine, propoxylated polyethyleneimine, butoxylated polyethyleneimine, and combination thereof.
15 . The method according to claim 10 , wherein the alkoxylated polyethyleneimine has a weight average molecular weight of 5,000 to 15,000.
16 . The method according to claim 10 , wherein the alkoxylated polyethyleneimine contains 18 to 22 alkylene oxide units per nitrogen atom.
17 . The method according to claim 10 , wherein the aqueous solution comprises 2.5-6 g/L alkoxylated polyethyleneimine based on the total weight of the aqueous solution.