Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
4th Edition
ISBN: 9781119285915
Author: Seborg
Publisher: WILEY
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Chapter 4, Problem 4.14E
Interpretation Introduction

(a)

Interpretation:

The transfer function which relates the exiting temperature T to the inlet concentration cAi is to be derived. Also, all the assumptions made during the derivation are to be stated.

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 (y¯) is known as deviation variable (y). It is generally used while modelling a process. Mathematically it is defined as:

y=yy¯

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

Interpretation Introduction

(b)

Interpretation:

The sensitivity of the transfer function gain K to the given operating conditions is to be determined. Also, expression for K in terms of q¯,T¯, and c¯Ai are to be determined and their sensitivities are to be evaluated.

Concept introduction:

In any steady state, the ratio of the amplitude of input signal to the amplitude of the amplifier output is known as steady-state gain. This gain will be same for the entire input range if the amplifier output is linear. For a transfer function, steady-state gain occurs as times tends to infinity which means that in s-domain, this infinite time is represented by s0.

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chemical engineering Material-energy balance.   Only focus on the nitrogen gas, which is H(3)
1. The settling chamber, shown schematically in Figure 2E1.1, is used as a primary separation device in the removal of dust particles of density 1500 kg/m³ from a gas of density 0:7 kg/m³ and viscosity 1.90 x 10-5 Pa s. Gas inlet Elevation Gas Gas exit exit H Collection surface -W Section X-X Dimensions: H=3m L = 10 m W=2m Figure 2E1.1 Schematic diagram of settling chamber Assuming Stokes' law applies, show that the efficiency of collection of particles of size x is given by the expression collection efficiency, x = x²8(pp - Pi)L 18μHU where U is the uniform gas velocity through the parallel-sided section of the chamber. State any other assumptions made. (b) What is the upper limit of particle size for which Stokes' law applies? (c) When the volumetric flow rate of gas is 0.9 m³/s, and the dimensions of the chamber are those shown in Figure 2E1.1, determine the collection efficiency for spherical particles of diameter 30 mm.
Can you answer this sequantially correct like show me the full process. Also, since it is chemical engineering related problem a perry's handbook is used. Thank you
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