An aqueous salt-solution enters a crystallizer operating at steady state at $25^{\circ}C$. The feed temperature is $90^{\circ}C$ and the salt concentration in the feet is $40$ 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 $25^{\circ}C$ is $20$ weight $\%$.

The feed flowrate required for a production rate of $100\:kg/s$ of the hydrate salt, rounded to the nearest integer, is ______________ $kg/s$.