Single Phase Mass Balance

14 students enrolled

Solve Mass Balance Problems involving Ideal and Real Gases in a very practical way!

14 students enrolled

What Will I Learn?

- Apply Mass Balances to Single-Phase Systems
- Solve Mass Balance Problems involving Real Gases
- Solve Mass Balance Problems involving Ideal Gases
- Solve Mass Balance Problems involving either Solids or Liquids
- Learn the different ways a Real Gas may be modeled
- Understand the Compressibility Factor "Z" and the Law of Corresponding States
- Use the Ideal Gas Law for Mass Balances
- Understand the difference between Vapor and Gas
- Identify the Critical Point in a Phase-Diagram
- Apply the Virial Equation to a Gas
- Understand the concept of Standard Conditions of Temperature and Pressure

Requirements

- It is HIGHLY recommended you take the "Introduction to Mass Balance" Course
- Understand the basic concepts of mass balance
- It's also recommended that the student has already worked with Ideal Gases
- Basic Math Operations

Description

Welcome to the **Single Phase Mass Balance** Course!

I designed this course is for general engineering fields. **Chemical and Process Engineers** will find it very relevant for their study curriculum but even Mechanical or Industrial Engineers will find it very interesting!

By the end of this course **you will learn**:

- The importance of Phases when Solving Mass Balance Problems
- Application of constant densities of Solid and Liquids in Chemical Proceses
- How to model Ideal Gases with the Ideal Gas Law
- Why are Standard Conditions of Temperature and Pressure used in the industry
- How to model Real Gases with the Virial Equation
- How to model Real Gases with the Z-Compressibility Factor Chart
- How to model Real Gas Mixtures with the Kay Rule

By the end of the Course **you will be able to**:

- Solve Mass Balance Problems of many real-life Chemical Processes involving Single-Phase Systems
- Model Ideal Gases vs. Real Gases

The course is structured as follow:

- 6 Sections of
**Theory**and**Applied Examples**(**Video-Based!**) - 22 Mass Balance
**Solved Exercises!** - 3
**Quizes**for Learning Review **Support**on the Discussion Board!

This is a very important Subject in Engineering and is the basis of further courses such as:

- Energy Balance and Thermodynamic
- Heat and Mass Transfer Operations and Unit Operations
- Reactor Engineering and Plant Design

I teach this course for about *$400 per semester*. You will get it as low as **$25 for a LIFETIME!**

Take the course and you will have a **greater advantage **than your classmates to get a better grade on your university courses!

** NOTE**: This is the continuation of my other course

The Course Curriculum may be seen below!

Who is the target audience?

- This course is recommended for process engineers, chemical engineers, and even mechanical or industrial engineers
- Any engineering field within the study of Gas Modelation (Ideal and Real Gases)

Compare to Other Math & Science Courses

Curriculum For This Course

61 Lectures

07:29:06
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Course Overview
1 Lecture
03:11

This is an overview of this Course. This course divides in:

- Solid and Liquids
- Gases - Ideal Gas Modeling and Mass Balance Problem solving
- Gases - Real Gases
- Virial Equation
- Z-Compressibility Factor

By the end of the course you should be able to perform more elaborate Mass Balance Problems including different phases (Single-Phase Problems).

Preview
03:11

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Solids and Liquids
9 Lectures
53:35

The definition of Phase is explained. Single-Phase problems are those that only have 1 Phase (either liquid, solid or gas)

Phases Theory

03:39

This Section covers solids and liquids. Since their densities are almost independent of temperature and can be considered constant, we pay special attention on this concept.

Solids and Liquids are very common phases in the industry!

Solid and Liquids in Mass Balance

03:52

An example regarding the density of a liquid

Solid and Liquids - Example #1

02:37

Another example reggarding densities!

Solid and Liquids - Example #2

01:20

The density of a liquid and how it is useful for other tasks

Solid and Liquids - Example #3

01:16

How to estimate densities of mixtures or other substances

Estimating Densities

03:41

Using the different type of deffinitions of density: Bulk and Absolute Densities.

EXERCISES#01 - Bulk and Absolute Densities in Solid and Liquids

12:39

Density of a Slurry, a mixture of a solid and liquid. Be aware of the correction in the Video

EXERCISES#02 - Density of a Slurry (Part 1)

10:56

Density of a Slurry, a mixture of a solid and liquid. Be aware of the correction in the Video

EXERCISES#02 - Density of a Slurry (Part 2)

13:35

Solids and Liquids

4 questions

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Ideal Gases and Mass Balances
25 Lectures
03:38:23

A brief introduction to Gases, its importance in engineering and why it is harder to model

Gases

02:55

We present the Ideal Gas Model which is very important. You probably have already worked with it...

Ideal Gas Model

04:14

The typical limitations of the Ideal Gas. High pressures and low temperatures... the more near the molecules, the more interaciton they have and therefore, more non-ideal they became

Ideal Gas Limitants

02:20

Why we model with Ideal Gas. We explain the application to Mass Balance Solving

Why Ideal Gas in Mass Balance?

01:49

An applied example of the Ideal Gas Law

Ideal Gas: Example

04:25

Standard Conditions are conditions for a Standard Use. Typical values of T, P and V varies dependeing o n the industry or institution.

Standard Conditions: Temperature and Pressure

02:27

SCMH is a "standardized" or "normalized" measurement of gases flowing in pipes. They give a reference value and comparable to other streams if they where on the same conditions

Standard Cubic Meter per Hour (SCMH)

06:30

Examples of the use and application of the Standard Conditions of Temperature an Pressure AKA STP

Standard Conditions: Example #1

03:36

Another example on how we can apply the SCMH concept

Standard Conditions: Example #2

02:25

Last example of STP

Standard Conditions: Example #3

03:53

Mixture of substance in gas phase are very common. Even though they are separate substances, they are still in one phase (gas phase). We apply the partial pressures and Ideal Gas in order to model such mixtures.

Ideal Gas Mixture: Partial Pressures

04:55

We finally apply the concepts seen in this sections to a Mass Balance. Get the idea of how we could model data. We get T, P and form there we get moles!

Example of Ideal Gases in Mass Balance

11:27

Ideal Gases

5 questions

Using the Ideal Gas Law to calculate Volume and moles

EXERCISES#03 - Basic Ideal Gas Calculation

03:23

The ideal gas constant "R" may vary depending on the values of units oyu choose. Here is a fastway to convert them

EXERCISES#04 - Ideal Gas Constant (R) Exercises

06:47

Using the ideal gas law to get the density of a flowign gas

EXERCISES#05 - Flow Rate of a Gas (Density Exercise)

11:13

We compare specific gravities using the ideal gas law

EXERCISES#06 - Specific Gravity of Gases

04:07

Very creative problem on how a company steals gas from another company.

EXERCISES#07 - Gas theft. Applying the Ideal Gas law to identify the theft.

14:18

Using the ideal gas law to a combusiton process

EXERCISES#08 - Combustion of a Gas

11:54

Hydrazine may be used as a propellant due to its expansion reaction (increase of moles and volume)

EXERCISES#09 - Calculating de Volume Expansion of Hydrazine

12:33

The problem is based on the vaporization of Acetone due to a stream of Nitrogen

EXERCISES#10 - Vaporization of Acetone by Nitrogen

19:01

Ideal Gas Law Application to Chlorine Tank

EXERCISES#11 - Chlorine Tank Storage

16:01

We use two concepts known by now: Equilibrium and Ideal Gas Law

Preview
17:47

We use two concepts known by now: Equilibrium and Ideal Gas Law

EXERCISES#12 - Production of Sulfuric Acid in Equilibrium (Part 2)

16:16

EXERCISES#12 - Production of Sulfuric Acid in Equilibrium (Part 3)

14:27

Once again, multiple equilibrium with ideal gases!

EXERCISES#13 - Ideal Gases in Multiple Equilibria

19:40

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Real Gases (Theory)
4 Lectures
06:41

Definition of a Real gas. That gas that can not be modeled with ideal gas law

Preview
01:37

The Critical Point is a sepcial point. In this point the liquid and the gas are no longer separable. The gas has superfluid properties and the liquid has also superfluid properties

Critical Point

02:28

Reduced conditions are a type of "standardization" in order to compare substances. The reference is the critical point conditions such as Temperature and Pressure (critical)

Reduced Conditions

01:38

Its very important to remark the difference between gas and vapor. Esentially is the critical point that makes the difference.

Preview
00:58

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Mass Balance with Real Gases
20 Lectures
02:42:24

A common model for a Real Gas. This uses "virial" terms. It is good for pressure or temperature modeling. Its difficult for volume model due to the amount of volume terms.

Preview
05:46

An example of how to apply the Truncated Virial Equation. Remember that by theory, the virial equation is infinite. You should choose the number of terms you are going to work with.

Preview
05:39

Other Equations may be used. The Scope of this Course is only to:

- Virial Equation
- Z compressbility Factor

You may study other equations in typical courses such as Thermodynamics

Other Equations

00:09

This video introduces the concept of compressibility factor "Z". This is essentially just a direct correction to the ideal gas law. This is easy and very powerful!

Compressibility Factor (Z)

01:09

A fast example of the compressibility factor "Z"

Example: Compressibility Factor

01:09

For some diatomic molceules, it is better to apply a correctino factor named by Newton. This should be done since they are some times very important and will correct your predictions

Newton's Corrections

00:28

We present the compressibility chart for each substance. It show "Z" value for every substance, T and P

Compressibility Chart

01:52

If we get ONE compressibility chart that applies to every single substance, would be awesome wouldnt it?

We could use the law of corresponding states which help us get ONE chart of Z values vs. T and P!

Law of Corresponding States

05:53

A compressibility factor "Z" example

Preview
05:16

How do we model Real Gases in mixtures? We must use the Kay Rule which is easy to understand but it takes a little bit of time to calculate...

Mixture of Real Gases: Kay Rule

03:15

The Kay Rule applied to a mixture of Gases!

Kay Rule Example

04:40

Modeling Volume using the Truncated Virial Equation

EXERCISES#14 - Volume of a Gas Modeled by the Virial Equation

20:46

Calculating the "Z" Factor

EXERCISES#15 - Compressibility Factor "Z" for Real Gases

08:54

We apply the Z compressbility factor to Oxygen and then Use Newton's Correction.

EXERCISES#16 - Compressibility of Oxygen and Newton Correction

08:59

As with previeous example, we apply Z factor to Nitrogen Purge system. Remember that Nitrogen is a diatomic molecule, therefore we apply Newton's Corrections

EXERCISES#17 - Nitrogen Purge System

19:43

We "evaporate" the Liquid Nitrogen. Due to conditions, we can't model this as an ideal gas. We use Z-Compressibility Factor

EXERCISES#18 - Liquid Nitrogen Flashing to Real Gas

13:13

We apply the Kay Rule to a mixture of gases. Be sure to use correctly the Kay Rule!

EXERCISES#19 - Mixture of Gases and the Kay Rule

08:13

We compress a mixture of gases from State 1 to State 2. We model the mixture with the Kay Rule

EXERCISES#20 - Compression of a Mixture of Gases

16:22

Finally we apply the real gas concepts to a production process!

EXERCISES#21 - Production of Methanol in Gaseous Phase

17:39

Application of the Kay Rule to a mixture of gases flowing in a pipe. We use many concpets here!

EXERCISES#22 - Mixture of Gases flowing in a Pipeline

13:19

Real Gases

6 questions

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Course Conlusion
2 Lectures
04:49

Course Conclusion and some Final notes!

Please leave a Review guys! It helps a lot to the commnity and also helps me know what should I improve!

Conclusion and Final Notes

04:35

Hey there! Thank you very much for joining the course...

I kindly ask you to leave a review... It helps me to know what should I improve and helps other to know if the course is worth the time and money!

Thank you in advance and Good luck with your studies!

Please leave a Review!

00:14

About the Instructor