Expressions Of Pj Problems

Pj Problems - Overview

Celestial Stars

The Number Line

Geometries

7 Spaces Of Interest - Overview

Triadic Unit Mesh

Creation

The Atom

Survival

Energy

Light

Heat

Sound

Music

Language

Stories

Work

States Of Matter

Buoyancy

Nuclear Reactions

Molecular Shapes

Electron Configurations

Chemical Bonds

Energy Conversion

Chemical Reactions

Electromagnetism

Continuity

Growth

Human-cells

Proteins

Nucleic Acids

COHN - Natures Engineering Of The Human Body

The Human-Body Systems

Vision

Walking

Behaviors

Sensors Sensings

Beauty

Faith, Love, Charity

Photosynthesis

Weather

Systems

Algorithms

Tools

Networks

Search

Differential Calculus

Antiderivative

Integral Calculus

Economies

Inflation

Markets

Money Supply

Painting

Adiabatic Expansion Or Compression Of Air

Air is a mixture of gases constituted mostly by nitrogen and oxygen. Often it is necessary to expand or compress air. *Isothermal* expansion or compression; and *adiabatic* expansion and compression are frequently encountered.
**(a)** When is an expansion or compression *Isothermal*?
**(b)** When is an expansion or compression *adiabatic*?
**(c)** 165 cubic feet of air at a pressure of 15 psi (pounds per sq in) is compressed adiabatically to a pressure of 80 psi. What is the new volume of the air?
**(d)** Suppose the volume of air in (c) is compressed isothermally. What will be the volume of air after compression?

**The strings**:

The string can be grouped as a force problem or a volume problem.

It is grouped as a volume problem since we are calculating compressed volume : S_{7}P_{1}A_{15} (containership-volume).
**The math**:

Pj Problem of Interest is of type *force* (force-push).

**(a)** An expansion or compression of air at constant temperature is *isothermal*
**(b)** An expansion or compression of air without transmission of heat to or from it, is *adiabatic*
**(c)** Formula of interest:
**V _{2} = V_{1}(P_{1}/P_{2})^{γ}**. Where:

V

P

V

P

γ = adiabatic index = C

C

C

So, V

So, V

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Single Variable Functions

Conics

Ordinary Differential Equations (ODEs)

Vector Spaces

Real Numbers

Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

Periodic Table

Composition And Structure Of Matter

How Matter Gets Composed

How Matter Gets Composed (2)

Molecular Structure Of Matter

Molecular Shapes: Bond Length, Bond Angle

Molecular Shapes: Valence Shell Electron Pair Repulsion

Molecular Shapes: Orbital Hybridization

Molecular Shapes: Sigma Bonds Pi Bonds

Molecular Shapes: Non ABn Molecules

Molecular Orbital Theory

More Pj Problem Strings