In a tank heater with agitator, the tank outlet temperature (T) and the heater connected to the tank are connected to the system. The relationship between the heat (Q) given off is expressed by the model equation below. This according to the gain and time constant of the transfer function between temperature and heat. find it. If the 1000 W heater power is suddenly increased by 25%, the outlet temperature will reach the new steady state. In how many minutes does it arrive? (Note: The first steady state tank outlet temperature is 65 degrees and the unit of time constant is minutes) 3\frac{dT}{dt}=Q-5\sqrt{T}

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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In a tank heater with agitator, the tank outlet temperature (T) and the heater connected to the tank are connected to the system.
The relationship between the heat (Q) given off is expressed by the model equation below. This
according to the gain and time constant of the transfer function between temperature and heat.
find it. If the 1000 W heater power is suddenly increased by 25%, the outlet temperature will reach the new steady state.
In how many minutes does it arrive?
(Note: The first steady state tank outlet temperature is 65 degrees and the unit of time constant is minutes)
3\frac{dT}{dt}=Q-5\sqrt{T}

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