A process stream is cooled from T to T by river water in a shell and tube heat exchanger. Because pollutants in river water cause scale formation problems, it is necessary to use an anti-pollution chemical (ASC). The amount of chemicals required according to the outlet temperature of the river water was determined experimentally as given below. Chemical cost is 2000$/kg. The pumping cost is directly proportional to the amount of water supplied. The pumping cost of river water is $1500 per year for an outlet temperature of 40C. Determine the objective function and the optimum outlet temperature of the river water. Ti CW $ Trw, output = ? Trw, input = 25C trw.exit ASC (kg/yl) 34 0.54 36 0.64 38 0.74 40 42 44 46 0.82 0.93 1.04 1.16

A process stream is cooled from T1 to T2 by river water in a shell and tube heat exchanger. Because pollutants in river water cause scale formation problems, it is necessary to use an anti-pollution chemical (ASC). The amount of chemicals required according to the outlet temperature of the river water was determined experimentally as given below. Chemical cost is 2000$/kg. The pumping cost is directly proportional to the amount of water supplied. The pumping cost of river water is $1500 per year for an outlet temperature of 40C. Determine the objective function and the optimum outlet temperature of the river water. A process stream is cooled from T1 to T2 by river water in a shell and tube heat exchanger. Because pollutants in river water cause scale formation problems, it is necessary to use an anti-pollution chemical (ASC). The amount of chemicals required according to the outlet temperature of the river water was determined experimentally as given below. Chemical cost is 2000$/kg. The pumping cost is directly proportional to the amount of water supplied. The pumping cost of river water is $1500 per year for an outlet temperature of 40C. Determine the objective function and the optimum outlet temperature of the river water