$40$ pts$.$ Problem $5.$ A $6$ molar solution of $HCl$ in water contains $15\%$ by weight of $HCl.$ A $5\%$ by weight solution at $25C$ is fed to an evaporator at a rate of $10k\frac{g}{s}.$ The boiling point of $6MHCl$ is $100C.$ How much heat must be added or removed $($state which$)$ from the evaporator to accomplish the desired separation? The heat capacity of $6MHCl$ solutions is $3\mathrm{.}5\frac{J}{g}C.(MW$ of $HCl$ is $36\mathrm{.}461\frac{g}{m}ol)$ Assume the vaporized steam leaves the evaporator at $1$atm.