A flow battery system and methods are provided for eliminating crossover issues of active materials in redox flow batteries. A solid adsorbent with large specific surface area is disposed in an electrolyte of at least one half-cell, in contact with the electrolyte. During a charging process, the active material in a charged state is captured and stored on surfaces of the adsorbent, so that concentrations of the active material in the electrolyte in the charged state is reduced and the crossover is inhibited. During a discharging process, the active material is desorbed from the adsorbent to the electrolyte and pumped into the stack for reaction. The flow battery stack can have a microporous membrane separator. The electrolyte of the flow battery includes zinc iodide as active material and polyethylene glycol (PEG) as an additive.