A heated mixing tank has the following modeling equations: dV/dt = Fi - F dT/dt

Question

A heated mixing tank has the following modeling equations: dV/dt = Fi - F dT/dt = Fi/V * (Ti - T) + Q Where, V = volume of tank = 500 liters Fi = inlet flowrate = 100 liters/minute F = outlet flowrate = 100 liters/minute Ti = inlet temperature = 20 deg C T = outlet temperature = 40 deg C Q = heating rate a) Find the steady-state heating rate, Q. (no variables are time-dependent) b) Consider a step inlet temperature change from 20 deg C to 22 deg C. Use Euler integration with an integration step size of 0.5 minutes to find the vessel temperature response for the first 2 minutes.

Explanation / Answer

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