Consider a blending tank that has the same dimensions and nominal flow rates as the storage tank in Exercise 2.13 but incorporates a valve on the outflow line that is used to establish flow rate w3. (For this exercise, there is no leak in the tank as in Exercise 2.13.) In addition, the nominal inlet stream mass fractions of component A are x1 = x2 = 0.5. The process has been operating for a long time with constant flow rates and inlet concentrations. Under these conditions, it has come to steady state with exit mass fraction x = 0.5 and level h = 1.75 in. Using the information below, answer the following questions:

(a) What is the value of w3? the constant, Cv?

(b) If x1 is suddenly changed from 0.5 to 0.6 without changing the inlet flow rates (of course, x2 must change as well), what is the final value of x? How long does it take to come within 1% of this final value?

(c) If w is changed from 120 kg/min to 100 kg/mm without changing the inlet concentrations, what will be the final value of the tank level? How long will it take to come within 1% of this final value?

(d) Would it have made any difference in part (c) if the concentrations had changed at the same time the flow rate was changed?

Useful information: The tank is perfectly stirred.

w3 = Cv√h