PROCESS DYNAMIC+CONTROL-EBOOK>I<
PROCESS DYNAMIC+CONTROL-EBOOK>I<
4th Edition
ISBN: 2819480255712
Author: Seborg
Publisher: INTER WILE
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Chapter 3, Problem 3.22E

Solve this ODE using a Symbolic software program:
   d 4 y d t 4 + 16 d 3 y d t 3 + 86 d 2 y d t 2 + 176 d y d t + 105 y = 1
All initial conditions for y and its derivatives are zero.

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Hydrogenation of Ethylbenzene to Styrene Reaction: C₈H₁₀ → C₈H₈ + H₂ΔHᵣ°(300°C) = -124 kJ/mol (exact value unknown) Process Description: The basis is 1000 kg/h of separated styrene. The reaction conversion rate is 35%. The temperature increase in heat exchanger 2 is adiabatic. A fresh stream of pure ethylbenzene (25°C) enters a mixing vessel, where it is combined with a recycle stream (from the distillation column, as explained later), which also consists of pure ethylbenzene at 25°C. After mixing, the stream is sent to a heat exchanger (HX1), where the mixture is heated to 200°C. Next, the mixture enters an adiabatic heat exchanger (HX2), where it is further heated to 300°C by adding steam (at 350°C). This steam is used to prevent side reactions and carbon deposition in the reactor. The heated mixture is then fed into the reactor, where the reaction takes place with a conversion rate of 35%. As a result, the mixture cools down to 260°C. The resulting mixture is then sent to HX4, where…
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