Won't the net charges be the same at pH = 7.5 and pH = 4.5?
Approximate pKa
Secondary Amine: 9
Carboxylic Acid: 2
Glutamic Acid: 4
Methionine: 10.5
pH = 7.5
Amine protonated (+), carboxylic acid deprotonated (-), glutamic acid deprotonated x 2(-), methionine protonated (+) = -1 charge
pH = 4.5
Amine protonated (+), carboxylic acid deprotonated (-), glutamic acid deprotonated x 2(-), methionine protonated (+) = -1 charge
Don't know how to do the problem...but was just commenting on the net charge question.