1. (12 pts) Consider a single compartment model that describes the urea concentration in a patient undergoing dialysis. The rate of production of urea by the patient's body is denoted R and urea is removed by the dialysis unit at a rate k2. The equation is dC v = -k2C + R, C(0) = Co == dt = Where V is the (constant) volume of the fluid compartment with [V] = L, and C = C(t) is the concentration of urea in the compartment, in units [C] = mg/L. (Choose your time units to be [t] = hours) = a) What are the appropriate units for k2 and R? b) Write the equation in dimensionless form. Indicate the groups of parameters which are dimensionless c) Determine how to choose the scale parameters so that the equation is simplified further. Choose one of them so that the new initial condition is =1. Write your simplified equation