2. Consider a stirred-tank blending system described by a first order transfer function between the exit composition y(t) and the inlet composition x(t), both representing mass fractions of solute: X(s)Y(s)=s+1K with K=0.3 (dimensionless) and When the blending system is at steady state (yss=0.2), the dynamic behavior 1 ; tested by adding a quantity of a special tracer, thus approximating a step function of magnitude 3. a) Calculate the exit composition response y(t). (20 points) b) Based on your analytical expression (in deviation variable), what is the value of Y(0) ? (5 points)