The start-up procedure for a batch reactor includes a heating step where the reactor temperature is gradually heated to the nominal operating temperature of 75°c. the desired temperature profile t (t) is shown in fig. e3.5. what is t (s) ?

Question

Kameron Conner

Physics

22 November, 12:41

The start-up procedure for a batch reactor includes a heating step where the reactor temperature is gradually heated to the nominal operating temperature of 75°c. the desired temperature profile t (t) is shown in fig. e3.5. what is t (s) ?

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Layton Rasmussen · Answer 1

Solution:

f (t) = 20 S (t) + 55/30 tS (t) - 55/30 (t - 30) S (t - 30)

• Taking the Laplace Transform:

F (s) = 20/s + 55/30 (1/s^2) - 55/30 (1/s^2) e^-30s = 20/s + 55/30 (1/s^2) (1 - e^-30s)