A stirred-tank blending system can be described by a firstorder transfer function between the exit composition x and the inlet composition x1 (both are mass fractions of solute):

Problem 4.6A stirred-tank blending system can be described by a first order transfer function between theexit composition x and the inlet composition x1 (both are mass fractions of solute): Step-by-step solution Step 1 of 9 ^(a)The first-order transfer function of the stirred-tank blending system is, X(s) = K ………(1) X is) s + 1Where ,K is dimensionless. is the time constant.Substitute 0.6 for K and 10 for in Equation (1). X(s) = 0.6 ………(2) X is) 10s + 1