Single Phase Mass Balance

Solve Mass Balance Problems involving Ideal and Real Gases in a very practical way!
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  • Lectures 61
  • Length 7.5 hours
  • Skill Level Intermediate Level
  • Languages English
  • Includes Lifetime access
    30 day money back guarantee!
    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 3/2015 English

Course 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 MB1: Introduction to Mass Balance. I highly recommend you take first the other course in order to get the best of this course!

The Course Curriculum may be seen below!

What are the 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

What am I going to get from this course?

  • 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

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)

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.


Section 1: Course Overview

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).

Section 2: Solids and Liquids

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


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!


An example regarding the density of a liquid


Another example reggarding densities!


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


How to estimate densities of mixtures or other substances


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


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


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

Solids and Liquids
4 questions
Section 3: Ideal Gases and Mass Balances

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


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


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


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


An applied example of the Ideal Gas Law


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


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


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


Another example on how we can apply the SCMH concept


Last example of STP


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.


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!

Ideal Gases
5 questions

Using the Ideal Gas Law to calculate Volume and moles


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


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


We compare specific gravities using the ideal gas law


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


Using the ideal gas law to a combusiton process


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


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


Ideal Gas Law Application to Chlorine Tank


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


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

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

Once again, multiple equilibrium with ideal gases!

Section 4: Real Gases (Theory)

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


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


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)


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

Section 5: Mass Balance with Real Gases

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.


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.


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


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!


A fast example of the compressibility factor "Z"


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


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


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!


A compressibility factor "Z" example


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...


The Kay Rule applied to a mixture of Gases!


Modeling Volume using the Truncated Virial Equation


Calculating the "Z" Factor


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


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


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


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


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


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


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

Real Gases
6 questions
Section 6: Course Conlusion

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!


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!

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Instructor Biography

Emmanuel Ortega, Passionate Engineer... I love teaching Online to the World!

I'm a Chemical Engineer!

I've been in the Chemical Industry for about 3 years. I love applying all my knowledge learned in University to the Daily Engineering Life. From working in a Petrochemical Plant as a Process Plant Designer to working with textile material from Polyester Yarns; I could teach you a lot of how it is important to learn the Engineering subjects!

My expertise:

  • Chemical Process Design
  • Plant Design
  • Heat Transfer Operations and Equipment Design
  • Industrial Polyester Yarn
  • Online Tutoring

Right now I'm preparing online material for Engineers all over the world. I have a dream in which online education will break all barriers and let Engineers all over the world learn easier and faster! Please join me in my quest!

The Courses I design are entirely dynamic. You will see theory and then apply it ASAP to a real life problem! I even use the books you are using right now in your engineering courses...

Hope to see you in any of the Courses I'm offering!

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