Background: I am a Chem Eng student at the University of Houston. I have worked on this problem quite a while but am stuck. Question: A stream of liquid A in an industrial plant, flowing at rate of 2kg/s, needs to be heated from 5 C to 90 C. Another stream or 5kg/s of liquid B, at a temperature of 60 C is available for possible heat exchange. Assuming that unlimited heat exchange is possible with the environment (which is at 20 C), can heating of stream A be accomplished with no external work input? -If your answer is yes, show a schematic of your proposed process, and compute the flow rate and exit temperature of stream B and the rate of heat exchange (if any) with the environment. -If your answer is No, provide a full quantitative justification for this claim. the heat capacities at constant pressure of the two liquids are 3Kj/Kg K for A and 2Kj/kg K for B, independent of temperature. My attempt is attached (pdf). Any advice would be much appreciated. Have a great day!