Liquid flows through a stirred tank (see figure). The liquid flows in at a rate

Question

Liquid flows through a stirred tank (see figure). The liquid flows in at a rate m and a temperature Tin, and flows out at a temperature T. The total mass of liquid in the tank is kept constant at mtank. At the initial time t 0, T = Tm. At time t = 0, electric coils provide a heating rate Q and a motor runs a stirring device with power W. The heat capacity of the liquid is Cp. The tank is well-stirred. Upon turning on the heat and work, the temperature will start to change 27I mtank Solve for the temperature of the outlet stream, T, for time t > 0 in terms of the variables given (m,Tinmtank, Cp, Q, W,T, t), for time t>o.

Explanation / Answer

Using first law of thermodynamics

m(H1-H2) = W + Q

We can solve the above problem.

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