A stirred tank blending process with a constant liquid holdup of 2.5m3 is used to blend t wo streams, whose densities are both approximately 1000kg/m3. The density does not c hange during mixing. a. Assume that the process has been operating for a long period of time with flow ra tes of w1=600kg/min and w2=300kg/min, and feed compositions (mass fracti b. Suppose that w1 changes suddenly from 600 to 500kg/min and remains at the n ew value. Determine an expression for x(t) and plot. [10] c. Repeat part (b) for case where w2 (instead of w1 ) changes suddenly from 300 to 2 00kg/min and remains there. [10] d. Repeat (c) for the case where x1 suddenly changes from 0.45 to 0.65 . [10] e. For parts (b) through (d) plot the normalized response xN(t) : xN(t)=[x(t)x(0)]/[x()x(0)], where x(0) is the initial steady state value, x(t) and x() represents the final steady state value of which is different for each part. [8]