(a) Interpretation: The transfer function which relates tank temperature to the inlet liquid temperature is to be determined. 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 ′ = y − y ¯ In steady-state process, the accumulation in the process is taken as zero.

Question

Want to see the full answer?

Answer 1

Question

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

can you do specific control loop for dc including reboiler and condenser

The periodic array below denotes a hypothetical lattice in 2D. 1. Is this a Bravais lattice? Why or why not? 2. Draw 3 different versions of unit cells. Of those 3, make one a primitive unit cell. 3. There is a special type of primitive unit cell that is called a ’Wigner-Seitz’ cell (look it up on- line, or in text books). In words, describe how it is defined, and draw it for the lattice above. 4. Why would it be useful to draw the primitive unit cell of a lattice as a Wigner-Seitz cell, rather than another random choice? Hint : What geometric property of a lattice was described to be useful in guessing material properties

The schematic figure below shows a face-centered cubic (FCC) lattice with a lattice constant of a. Draw the lattice vectors of a primitive unit cell for the FCC lattice. Also write them in equation form and derive an expression for the reciprocal lattice vectors of an FCC lattice Using these sets of reciprocal lattice vectors, draw (or generate) the reciprocal lattice of FCC in re- ciprocal space. Show that this reciprocal lattice is equivalent to a body-centered cubic lattice with a lattice constant of 4pi/a

Answer 2

Question

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Answer 6

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Answer 7

Chapter 4, Problem 4.9E

Interpretation Introduction

(a)

Interpretation:

The transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

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′=y−y¯

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

Answer 8

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The steady-state gain for the transfer function determined in part (a) is to be calculated.

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 s→0.

Answer 10

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Answer 11

Interpretation Introduction

(c)

Interpretation:

It is to be determined if the steady-state gain calculated in part (b) can be unity based on the physical arguments only.

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 s→0.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 4 - Prob. 4.1E Ch. 4 - Prob. 4.2E Ch. 4 - Prob. 4.3E Ch. 4 - Prob. 4.4E Ch. 4 - Prob. 4.5E Ch. 4 - A stirred-tank blending system can be described by...Ch. 4 - Prob. 4.7E Ch. 4 - Prob. 4.8E Ch. 4 - Prob. 4.9E Ch. 4 - Prob. 4.10E

Solution Summary: The author explains the transfer function which relates tank temperature to the inlet liquid temperature is to be determined.

Want to see the full answer?

Chapter 4 Solutions