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A mixing process consists of a single stirred-tank instrumented as shown in Figure Q2. The concentration of a single species A in the feed

A mixing process consists of a single stirred-tank instrumented as shown in Figure Q2. The concentration of a single species A in the feed stream varies. The controller attempts to compensate for this by varying the flow rate of pure A through the control valve. The transmitter dynamics are negligible. Draw a block diagram for the controlled process. (a) (b) Derive a transfer function for each block in your block diagram. CA Po (I/P V Transfer line CTL Stirred tank AT Cm AC Figure Q2 Process (i) The volume is constant (5 m3). (ii) The feed flow rate is constant q, = 7 m/min). (iii) The flow rate of the A stream varies but is small compared to q, (q, = 0.5 m/min). (iv) C, =50 kg/m3 and C, = 800 kg/m3. (V) All densities are constant and equal. Transfer Line (i) The transfer line is 20 m long and has 0.5 m inside diameter. (ii) Pump volume can be neglected. Composition Transmitter Data C (kg/m) Cm (mA) 4 200 20 Transmitter dynamics are negligible.

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