Back To Course

Chemistry 101: General Chemistry14 chapters | 131 lessons | 11 flashcard sets

Watch short & fun videos
**
Start Your Free Trial Today
**

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Sarah Friedl*

Sarah has two Master's, one in Zoology and one in GIS, a Bachelor's in Biology, and has taught college level Physical Science and Biology.

In another lesson, you learned that the ideal gas law is expressed as PV = nRT. In this video lesson, we'll go one step further, examining how to rearrange the equation to solve for a missing variable when the others are known.

In another lesson, you learned about ideal gases and the ideal gas equation. Ideal gases are just what they sound like - ideal. But since real gases behave similarly to ideal gases at normal temperatures and pressures, we can use the ideal gas equation to predict the behavior of real gases under these conditions.

First, let's review the ideal gas law, **PV = nRT**. In this equation, 'P' is the pressure in atmospheres, 'V' is the volume in liters, 'n' is the number of particles in moles, 'T' is the temperature in Kelvin and 'R' is the ideal gas constant (0.0821 liter atmospheres per moles Kelvin). Just like any equation, if we know three of those four variables (other than R, which we already know because it is a constant), we can rearrange the equation to calculate the unknown.

Let's start with a very simple example to see how this works. Say we want to calculate the volume of 1 mole of gas at 273 K (which is the same as 0 °C) and 1 atmosphere of pressure. Here's what our equation looks like when we fill in the variables we do know:

1 atm * V = 1 mol * 0.0821 atm L / mol K * 273 K

If we want to find the volume (V), we simply rearrange the equation to get this variable by itself. We do this by dividing by the pressure, 1 atm (atmosphere). So, now our equation looks like this:

V = (1 mol * 0.0821 atm L / mol K * 273 K) / 1 atm

The moles cancel out, as do atmospheres and Kelvin. All we're left with in terms of units is liters, and then to get our volume, we simply do the math. Our final answer is 22.4 L. Make sense?

Let's try another example, this time solving a real-life example. Suppose you want to calculate the temperature of the gas in your bike tire. As long as you know the other variables, you can do this quite easily! In this case, the pressure is 1.14 atm, the volume of the tire is 5.00 L, and we have 0.225 moles of gas. So, our original equation looks like this:

1.14 atm * 5.00 L = 0.225 mol * 0.0821 atm L / mol K * T

To get temperature alone, we simply divide by n and R to get:

(1.14 atm * 5.00 L) / (0.225 mol * 0.0821 atm L / mol K) = T

Once we do the math, we end up with 310 K, because all of our other units cancel out. And what exactly is 310 K? Well, that's about 37 °C, or about 98.6 °F. That's pretty warm!

The best part about this equation is that you can find any variable as long as you have the other three! So, if you know temperature, pressure and number of moles, you can easily find the volume. Likewise, if you know the volume and also know the temperature and pressure, you can solve the equation to calculate how many moles there are. This makes the ideal gas law 'ideal' to work with!

We know that ideal gases are just that - ideal. But since real gases can behave like ideal gases under the right conditions, this allows us to use the ideal gas law to predict their behavior. The ideal gas law states that **PV = nRT**, or, in plain English, that pressure times volume equals moles times the gas law constant R times temperature. As long as you know three of the four variables, you can easily rearrange and calculate the missing one, no matter which one that may be!

Once you've completed this lesson, you'll be able to:

- Define the ideal gas law and identify its formula
- Calculate a missing variable using the ideal gas law equation when you are provided the other required variables

To unlock this lesson you must be a Study.com Member.

Create
your account

Already a member? Log In

BackDid you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
12 in chapter 7 of the course:

Back To Course

Chemistry 101: General Chemistry14 chapters | 131 lessons | 11 flashcard sets

- Go to Atom

- The Kinetic Molecular Theory: Properties of Gases 6:49
- Pressure: Definition, Units, and Conversions 6:21
- Temperature Units: Converting Between Kelvins and Celsius 5:39
- Dalton's Law of Partial Pressures: Calculating Partial & Total Pressures 8:39
- The Boltzmann Distribution: Temperature and Kinetic Energy of Gases 6:51
- Diffusion and Effusion: Graham's Law 6:57
- Molar Volume: Using Avogadro's Law to Calculate the Quantity or Volume of a Gas 9:09
- Boyle's Law: Gas Pressure and Volume Relationship 6:48
- Charles' Law: Gas Volume and Temperature Relationship 8:13
- Gay-Lussac's Law: Gas Pressure and Temperature Relationship 6:42
- The Ideal Gas Law and the Gas Constant 8:03
- Using the Ideal Gas Law: Calculate Pressure, Volume, Temperature, or Quantity of a Gas 3:42
- Real Gases: Using the Van der Waals Equation 6:48
- Go to Gases

- Go to Solutions

- Go to Kinetics

- Psychology 316: Advanced Social Psychology
- Hiring & Developing Employees
- Accounting 305: Auditing & Assurance Services
- MTEL Physical Education (22): Study Guide & Test Prep
- Praxis Art - Content Knowledge (5134): Practice & Study Guide
- The Victim Movement
- Consequences of Crime Victimization
- The Nature of Violence
- Measuring Criminal Victimization
- Prejudice, Stereotyping & Discrimination
- Study.com CLEP Scholarship for Military Members
- Study.com Scholarship for Texas Students & Prospective Teachers
- Study.com Scholarship for Florida Students & Prospective Teachers
- What are TExMaT Exams?
- What is the Florida Teacher Certification Examination (FTCE)?
- Study.com TExES Scholarship: Application Form & Information
- Study.com FTCE Scholarship: Application Form & Information

- Forensic Evidence: Types, Definition & Cases
- Who is Candy in Of Mice and Men? - Description & Quotes
- Hills Like White Elephants: Summary, Characters & Setting
- How to Teach Math Facts to Kids
- Goal Setting for Reducing Organizational Stress
- Comparing ELD & SDAIE in English Learner Education
- Trauma Registry: Definition, Function & Components
- Independence Movements in Southeast Asia
- Quiz & Worksheet - Legal Self-Defense
- Quiz & Worksheet - Drugs, Violence & Crime
- Quiz & Worksheet - Agile Organization Traits
- Quiz & Worksheet - False Imprisonment: Meaning & Examples
- Quiz & Worksheet - Communication Techniques for Call Center Agents
- International Law & Global Issues Flashcards
- Foreign Policy, Defense Policy & Government Flashcards

- Western Civilization from 1648 for Teachers: Professional Development
- NES English Language Art (301): Practice & Study Guide
- College Physics Textbook
- PLACE Reading Specialist: Practice & Study Guide
- Criminal Justice 102: Introduction to Law Enforcement
- World Literature: Drama
- The Cold War (1950-1973): Homework Help
- Quiz & Worksheet - Effects on Enzyme Activity
- Quiz & Worksheet - Epinephrine
- Quiz & Worksheet - Threonine
- Quiz & Worksheet - Manifest Content of Dreams
- Quiz & Worksheet - David Wechsler on Intelligence

- What is Hearing Impairment? - Definition, Causes & Treatment
- Zona Pellucida: Definition & Concept
- What's the AP Exam Grading Scale?
- Earth Science Projects for Middle School
- How to See ACT Test Scores Online
- Introduction to Western Civilization II Course
- Typical Medical School Curriculum
- Physics Activities for Kids
- Explanatory Writing Prompts
- Op Art Lesson Plan
- What to Do When Studying Abroad
- Bible Study Lesson Plan

Browse by subject