Process Dynamics And Control, 4e
Process Dynamics And Control, 4e
16th Edition
ISBN: 9781119385561
Author: Seborg, Dale E.
Publisher: WILEY
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Chapter 4, Problem 4.7E
Interpretation Introduction

(a)

Interpretation:

The given model is to be linearized and deviation variables are to be introduced.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

The difference in the actual variable (y) and the original variable (ˉy) is known as deviation variable (y). It is generally used while modelling a process. Mathematically it is defined as:

y=yˉy

In steady-state process, the accumulation in the process is taken as zero.

Interpretation Introduction

(b)

Interpretation:

Four transfer functions relating outputs x1 and y1 to inputs x0 and y2 are to be derived and placed in standard form.

Concept introduction:

For chemical processes, dynamic models consisting ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances.

The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.

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Assignment 2. Example. The diffusivity of the vapour of a volatile liquid in air can be conveniently determined by Winkelmann's method in which liquid is contained in a narrow diameter vertical tube, maintained at a constant temperature, and an air stream is passed over the top of the tube sufficiently rapidly to ensure that the partial pressure of the vapour there remains approximately zero. On the assumption that the vapour is transferred from the surface of the liquid to the air stream by molecular diffusion, calculate the diffusivity of carbon tetrachloride vapour in air at 321 K and atmospheric pressure from the following experimental data: Time from commencement of experiment, (t x1 03 s) Liquid level (mm) 0.0 0.0 1.6 2.5 11.1 12.9 27.4 23-2 80-2 43.9 117.5 54-7 168.6 67.0 199.7 73-8 289-3 90-3 383-1 104.8 The vapour pressure of carbon tetrachloride at 321 K is 37.6 kN/m² and the density of the liquid is 1540 kg/m³. Take the kilogram molecular volume as 22.4 m³.
Please.... please, provide me with full calculation (more details) because this question I sent it previously but I did not receive a good result yet.
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