Ideal gas law equation

Partial pressure of a gas if you know the mole fraction

And you can calculate the mole fraction

Now what about the mole fraction of O2

Partial pressure of each gas

Now let's calculate the partial pressure of oxygen gas

Total pressure using ideal gas law

A storage tank contains Nitrogen, Oxygen, and Carbon Dioxide

Now that we have the partial pressure of CO2, we can calculate the mole fraction

Intro

How to find the position vector

Example 2

Factoring out i, j, k

Finding the parametric equations

Generic formulas for parametric equations

How to find the vector equation of a line

How to find the standard point

Practice Problem

Conclusion

Pressure

Ideal Gas Law Equation

Calculate the Moles

Convert the Moles into Grams

Ideal Gas

The Ideal Gas Law

How to find the equation of a plane

Plugging the values into the formula

Using the Dot Product Formula

How to find the equation of a plane given a point on the plane

Combining Like Terms

Conclusion

Plugging in the values

Final answer

Linear Equation Form of the Plane

Introduction

Derivation of the formula

Defining vector b

How to define a plane

How to find the scalar projection of a vector onto a plane

Finding the absolute value of the scalar projection

Dot product of two vectors

Finding the absolute value of the dot product

Equation of a plane

Outro

The Letter P Game

Pumpernickel

Kneading dough

Letter of the Day game: P

Potato song

Ten Water-Skiing Hippos

Counting penguins

Penguin surprise

Here Come the Penguins

Penguin Song

Sample Problem

Substitute b back into P(t)

Final Answer

Introduction

Substitute the point of intersection into the parametric equations

How to combine like terms

Finding y

Finding z

Finding the point where a line intersects a plane using parametric equations

Finding the parametric equations for the line

Finding the equation of the plane

Conclusion

Slope and Area

Slope equation

Isobaric Process

How to calculate the work done by a gas in a PV diagram

Isovolumetric (Isochoric) Process

Argon Gas Expands Adiabatically

How to calculate the work done by a monoatomic gas

What is the work performed going from A to B?

How to calculate the work performed as the system moves from A to B

How to calculate the work done by a gas going from C to A

Explanation of why the work done is positive

How to calculate the change in volume

How to find the normal vector given 3 points

Quantifying Vector B

Finding the normal vector

Evaluating the determinant of each 2x2 matrix

Evaluating the Determinant

Writing the Equation of the Plane

Final Answer

Equation for Raoult's Law

Calculating Mole Fraction

Calculating Moles of Glucose

Calculating Vapor Pressure of Solution

Calculating the Vapor Pressure of an Ionic Compound

Mole Fraction of Solvent

Third Example

Calculating Moles of Water

Plugging in Moles of Water

Converting Moles to Grams

Water flows through a horizontal pipe

We need to calculate the speed at point B

Calculate the pressure at point B

Mass divided by volume is density

What is the speed of the fluid at point B?

So now let's calculate p2 using Bernoulli's Equation

What about the pressure?

Now let's use Bernoulli's equation to calculate the pressure at Point B

Now let's talk about how to derive the entire equation for Bernoulli's Principle

And the change in kinetic energy is the final kinetic energy minus the initial kinetic energy

Position Yourself to Hear God

Pour Over the Passage

Pull Out the Spiritual Principles

Pose the Question

Plan Obedience