Tanks with multicomponent feeds

In order to describe the dynamics of this system, we must include component material balances, an equation describing how the specific heat of the solution varies with the composition of the vessel, and the geometric relations which describe the heat-transfer area as a function of vessel volume. Since this is a binary mixture of components A and B, we can only write two material balances we choose to write one component balance and the overall mass balance. We will assume that the total mass density p is a constant for this system. Thus, the component mass balance is 

The heat-transfer area is given by the sum of the transfer area on the bottom of the tank and the sides. 

Figvire 3.16 Information—Flow Diagram for Steam—Jacketed Vessel with Multicomponent Feeds. 

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