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 75C. The desired temperature profile T(t) is shown in Fig. E3.5. What is T(s)?

Problem 3.5The start-up procedure for a batch reactor includes a heating step where the reactortemperature is gradually heated to the nominal operating temperature of 75°C. The desiredtemperature profile T(t) is shown in Fig. E3.5. What is T(s) Step-by-step solution Step 1 of 3 ^Refer to Figure E3.5 in the text book; consider the following points to develop a desiredtemperature profile T(t).At t = 0, height of the step is 20. So, the desired temperature profile for t = 0 is 20S(t).At t = 30 min, there is an increase in slope of the function; so add a ramp with a slope of(rise/run) = (75 - 20/30). Thus, the desired temperature profile for t = 30 min istS(t). 30At t > 30 min, the temperature profile becomes constant. So, the slope of this function is 55 30 (t - 30)S(t - 30).