A $6$M solution of hcl in water contains $15\%$ by weight of hcl$.$ A $5\%$ by weight solution at $25$ degree celsius is fed to an evaporator at rate of $10$kg$/$s$.$ the boiling point of $6$M hcl is $100$ degree celsius. how much heat must be added or removed from the evaporator to accomplish desired separation. Heat capacity of $6$M hcl solution is $3\mathrm{.}5$ J$/$gC$.$ Assume vaporized steam leaves evaporator at $1$ atm.