2. Consider a cylindrical blending tank that has two feed streams (ṁ¡ and ṁ2) and one effluent stream (m3). The tank has a height of 2.5 m and a diameter of 2 m and the effluent flow rate is proportional to the liquid level in the tank: ṁ3=C\h. Under normal operating conditions, the liquid flow rates are ṁ1=120 kg/min, m2=100 kg/min. Also, the mass concentrations of the solute for the two feed streams are WA1 = WA2 = 0.5. The process has been operating for a long time so that it has reached steady-state with an effluent mass fraction of WA3 0.5 and liquid level h = 1.75 m. Assume the density of all streams is equal to 800 kg/m³, and the contents of the tank are well-mixed. (a) Determine the value of effluent mass flow rate m3. Also, determine the value of the constant C. (b) If wAi is suddenly changed from 0.5 to 0.7 and remains at that value while wa2 does not change, determine the time for the effluent concentration to reach wA3 = 0.6. What is the final value of the effluent concentration? (c) If m, is changed from 120 kg/min to 150 kg/min without changing the feed concentrations (WAI = WA2 = 0.5), what will be the final value of the liquid level in the tank? Will the tank overflow? (d) Would the results of part-c be different if the feed concentrations had changed at the same time that the feed flow rate had changed?

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