Two components are being mixed in a CSTR and

w_(2)

) with constant liquid holdup. Each stream has an initial temperature but stream

2(w_(2))

has fluctuations over time (a disturbance). The outlet temperature is meant to be controlled

(T_(sp))

by using a control valve to alter stream 1

(w_(1))

.\ a.) (10 pts) What is the equation that shows the mass flow rate of our controlled stream

(w_(1))

that gives the corresponding set point temperature

(T_(sp))

? Have your answer in terms of

T_(sp),T_(1),T_(2),w_(1)

and

w_(2)

.\ The overall mass balance is given as:\

0=w_(1)+w_(2)-w

\ The overall energy balance is given as (assuming the leat capacities are equal:

C_(1)=C_(2)=C

):\

0=w_(1)T_(1)+w_(2)T_(2)-wT

\ b.) (10 pts) How would you control this system? Include in your description how you would process the variations in the temperature of stream 2. Briefly explain the reasoning behind your design.\ c.) (10 pts) Draw a process control block diagram of the system you explained in part b.). Include relevant components and process flows.

.) (30 pts) Two components are being mixed in a CSTR (w1 and w2 ) with constant liquid holdup. Each stream has an initial temperature but stream 2(w2) has fluctuations over time (a disturbance). The outlet temperature is meant to be controlled (Tsp) by using a control valve to alter stream 1 (w1). a.) (10 pts) What is the equation that shows the mass flow rate of our controlled stream (w1) that gives the corresponding set point temperature (Tsp) ? Have your answer in terms of Tsp,T1,T2,W1 and w2. The overall mass balance is given as: 0=w1+w2w The overall energy balance is given as (assuming the leat capacities are equal: C1=C2=C ): 0=w1T1+w2T2wT b.) (10 pts) How would you control this system? Include in your description how you would process the variations in the temperature of stream 2. Briefly explain the reasoning behind your design. c.) (10 pts) Draw a process control block diagram of the system you explained in part b.). Include relevant components and process flows