L-serine is a nonessential amino acid, but can be a useful constituent of a healthy diet and is often provided in intravenous feeding solutions for recovering patients. l-serine has a molecular weight of 105, is produced by fermentation, and is recovered and purified by crystallization at 10°c. yield from the crystallization process is enhanced by the addition of methanol, which reduces serine solubility.

an aqueous serine solution containing 20.0 wt% serine and 80.0 wt% water is added along with methanol to a batch crystallizer that is allowed to equilibrate at 10°c. the resulting crystals are recovered by filtration; liquid passing through the filter is known as filtrate, and the recovered crystals may be assumed in this problem to be free of adhering filtrate.

the crystals contain a mole of water for every mole of serine and are known as a monohydrate. the crystal mass recovered in a particular laboratory run is 500.0 g, and the filtrate is determined to be 2.40 wt% serine, 38.8 wt% water and 58.8 wt% methanol.

* the ratio of the mass of methanol added per unit mass of feed is

the laboratory process is to be scaled to produce 750.0 kg/hr of serine monohydrate. determine the required feed rates (kg/hr) of aqueous l-serine solution and of methanol.

* the feed rate of aqueous l-serine solution is kg/hr?

* the feed rate of methanol is kg/r?