3) To design a crystallization process, an API was mixed with a given solvent in different proportions. It was found that the solubility curve can be described by the natural exponential function C=a1e(bT) where abb are constants, C is the concentration of API in mg/ml, and T is the temperature in Celsius. The constants abb are such that a=4.9 and b=0.0374 and thus C=4.9e(0.0374T)=4.9exp[0.0374T] a. Mixtures of the API were cooled down at a very slow rate (0.01C/min). The appearance of first crystals during the cooling step is given by C=25e0.0385T (where C is the concentration of API in mg/ml and T the temperature in Celsius). What does this curve represent? b. Plot the solubility curve and the curve given in part a. Do not sketch, plot using a graphing program. For your plot choose a temperature range that could reasonably be used for a pharmaceutical crystallization. Based on this plot, suggest a crystallization (cooling, anti-solvent or evaporative) scheme for this API. Give reasons for your answer. c. In 5 lines or less describe what steps would you have to take to optimize your