Pj Problems - Overview
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COHN - Natures Engineering Of The Human Body
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Atoms are the smallest stable constituents of the elements in nature. However, only the noble-gas elements are usually found as isolated atoms in nature. Most substances in nature are found as combinations of atoms as molecules and ions. Molecular and ionic compounds are represented by chemical formulas. The three commonly used chemical formulas are: empirical formula, molecular formula and structural formula.
What is the difference between molecular, empirical and structural formulas?
The strings:
S7P2A22 (Identity - Chemical Identity).
The math:
Pj Problem of Interest is of type identity (chemical identity).
Imagine that the atoms A, B and C combine to form one molecule of the compound M
Molecular Formula indicates the actual numbers of each of the atoms that form a molecule (figure 1a).
If AxByCz is the molecular formula for M, then there are x atoms of A, y atoms of B and z atoms of C in compound M.
Empirical Formula indicates the relative number of each of the atoms that form a molecule (figure 1b).
Ax/dBy/dCz/d is the empirical formula for compound M.
Where d is the greatest common divisor of x, y and z.
Structural Formula indicates the specific attachments of the atoms to one another (figure 1c).
Is A attached to B or to C? Is B attached to C? the structural formular answers these questions.
A structural formula does not indicate the bond angles of the atoms and so does not show the molecular geometry of the molecule.
Chemists use various models to visualize the molecular geometry of a molecule. The ball and stick and the space-filling model are two of the commonly used models.
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.
Derivation Of The Area Of A Circle, A Sector Of A Circle And A Circular Ring
Derivation Of The Area Of A Trapezoid, A Rectangle And A Triangle
Derivation Of The Area Of An Ellipse
Derivation Of Volume Of A Cylinder
Derivation Of Volume Of A Sphere
Derivation Of Volume Of A Cone
Derivation Of Volume Of A Torus
Derivation Of Volume Of A Paraboloid
Volume Obtained By Revolving The Curve y = x2 About The X Axis
Single Variable Functions
Absolute Value Functions
Conics
Real Numbers
Vector Spaces
Equation Of The Ascent Path Of An Airplane
Calculating Capacity Of A Video Adapter Board Memory
Probability Density Functions
Boolean Algebra - Logic Functions
Ordinary Differential Equations (ODEs)
Infinite Sequences And Series
Introduction To Group Theory
Advanced Calculus - Partial Derivatives
Advanced Calculus - General Charateristics Of Partial Differential Equations
Advanced Calculus - Jacobians
Advanced Calculus - Solving PDEs By The Method Of Separation Of Variables
Advanced Calculus - Fourier Series
Advanced Calculus - Multiple Integrals
Production Schedule That Maximizes Profit Given Constraint Equation
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
Homogenizing-Non-Homogeneous-Time-Varying-IBVP-Boundary-Condition
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
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