Question: A process consists of two stirred tanks with Input q and outputs T1 and T2 (see figure). To test the hypothesis that the dynamics in
A process consists of two stirred tanks with Input q and outputs T1 and T2 (see figure). To test the hypothesis that the dynamics in each tank are basically first order, a step change in q is made from 82 to 85, with output responses given in Table P7.3.

(a) Find the transfer functions T?i(s)/Q?(s) and T?2(s) / T?i(s). Assume that they are of (he form K1?/ (?1s + 1).
(b) Calculate the model responses to the same step change in q and plot with the experimental data.

Tank T1 Tank
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