Consider a stream of water separated from a stream of strong sulfuric acid solution by a splitter plate. Flow is laminar. At x=0 the splitter plate ends and sulfuric acid diffuses into the water and water diffuses into the sulfuric acid in the transverse, y, direction. There are strong heat of mixing effects, since solutions are very non ideal. Write down the energy equation, and the other equations, that you would solve in x-y co-ordinates to order to predict the steady state temperature profile, T(x,y). Identify the term that accounts for the heat of mixing effects. Can you relate any of this to thermodynamic quantities, such as activity coefficients? This is an open ended question with no specific correct answer. If you do not have access to the thermodynamics of non-ideal solutions don't concern yourself with activity coefficients. DO NOT ATTEMPT TO SOLVE THE EQUATIONS.

Take this problem as far as you can. Can you interpret your results physically? Do they make physical sense?