A mixer tank is used to blend two liquid streams as shown in Figure 1 below. Where T is temperature, x is mass fraction, and F is the volumetric flow rate of the output stream. While 1 and 2 are symbols for stream 1 and stream 2 respectively. The inlet flow rate F and the outlet flow rate F are not equal. The density of the liquid is 'p' and the specific heat capacity of the liquid is Cp. The blending liquid is heated by the heater which is supplying a heat load 'Q'. State the assumptions clearly and develop the dynamic model of this process.
F1
F2
X
T
V
X
Q
F
Heater
Figure 1: Stirred Tank Heating System
X