An aqueous salt solution enters a crystallizer operating at steady state at $25$degC. The feed temperature is $90C$ and the salt concentration in the feed is $45$ weight $\%.$ The salt crystallizes as a pentahydrate. The crystals and the mother liquor leave the crystallizer. The molecular weight of the anhydrous salt is $135.$ The solubility of the salt at $25C$ is $22$ weight $\%.$ Calculate the feed flow rate required for a production rate of $125k\frac{g}{s}$ of the hydrated salt in $k\frac{g}{sec}.$