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Internal Energy Transfer
Energy transferred as heat when the system and surroundings are at different temperatures, or as work when an object is moved by a force.
Increase in Internal Energy
Heat absorbed by the system (q > 0) or work done on the system (w > 0).
What is the equation for the change in internal energy (ΔE)?
q + w
What does it mean to say that energy is always conserved?
Energy cannot be created or destroyed, only changed from one form to another or transferred into or out of a system.
What does it mean to say that the internal energy of a system is a state function?
The same overall ΔE can occur through any combination of q and w.
What occurs during work of expansion?
Increase in volume.
What occurs during work of contraction?
Decrease in volume.
What does it mean to say that Enthalpy (H) is a state function?
Independent of how the change occurred.
At constant P, what does the value of ΔH equal?
ΔE plus the PV work
What is qp?
The heat released or absorbed during a chemical or physical change that takes place at constant pressure.
What is the sign convention for ΔH in an exothermic process?
ΔH < 0
What is the sign convention for ΔH in an endothermic process?
ΔH > 0
How do we calculate ΔH of a process?
By measuring the energy transferred as heat at constant pressure (qp).
Specific Heat Capacity (c)
The quantity of energy needed to raise the temperature of 1 g of the substance by 1 K.
What does a coffee cup calorimeter measure at?
Constant Pressure.
What does a bomb calorimeter measure at?
Constant Volume.
Thermochemical Equation
Shows a balanced reaction and its ΔH.
What amounts are specified in a thermochemical equation?
The amount of substance and the quantity of heat are thermochemically equivalent and form a conversion factor for finding the quantity of heat transferred when any amount of the substance reacts.
Hess's Law
Determine ΔH of any reaction by assuming that it is the sum of other reactions.
Standard States
A set of specific conditions used for determining thermodynamic variables for all substances.
Standard Enthalpy of Formation (ΔH°f)
The enthalpy change when 1 mol of a compound forms from its elements with all substances in their standard states.
Nature of Light
Electromagnetic radiation that travels in waves characterized by a given wavelength (λ) and frequency (ν).
What is the relationship between wavelength and frequency?
Wavelength and frequency are inversely proportional to each other.
What does λ ν equal to?
Speed of Light (c)
What wavelengths is the visible region between?
Wavelengths 750 nm (red) and 400 nm (violet).
Refraction
Change in a wave’s speed when entering a different medium.
Diffraction
Bend of a wave around an edge of an edge of an object.
Quantum Theory
Light exists as photons (quanta) whose energy is directly proportional to the frequency.
According to quantum theory, what energy does an atom have?
An atom has only certain quantities of energy (E = nhv), and it can change its energy only by absorbing or emitting a photon whose energy equals the change in the atom’s energy.
What does light emitted by electrically excited atoms of elements and refracted through a prism appear as?
Appears as separate spectral lines.
Rydberg equation
Used to determine the wavelength of a spectral line.
Bohr's Proposal
An electron moves in fixed orbits.
What principal was Bohr correct on?
An atom’s energy is quantized.
Spectrometry
An instrumental technique that uses emission and absorption spectra to identify substances and measure their concentrations.
Wave-Particle Duality of Matter and Energy
Matter and energy are no longer viewed as distinct entities.
de Broglie wavelength
An electron (or any object) has wavelike motion.
Where is Wave-particle duality of matter and energy observable at?
Wave-particle duality of matter and energy is observable only on the atomic scale
Uncertainty Principle
We can never know simultaneously the position and speed of an electron.
Atomic Orbital (ψ, wave function)
A mathematical description of the electron’s wavelike behavior in an atom.
Schrodinger equation
Converts each allowed wave function to one of the atom’s energy states.
Name the three quantum numbers that describe an atomic orbital.
n (size), l (shape), and m1 (orientation).
Fourth Quantum Number (ms)
Describes the electron's spin.
l = 0
Spherical (s) orbital.
l = 1
Three two-lobed (p) orbitals.
l = 2
5 multilobed (d) orbitals.
l = 3
Seven multilobed (f) orbitals.
In the special case of the H atom, what do the energy levels depend on?
Only on the n value.
Pauli Exclusion Principle
Each electron in an atom to have a unique set of four quantum numbers.
How many electrons can an orbital hold?
No more than two electrons, and their spins must be paired (opposite).
List the electrostatic interactions determine sublevel energy.
Aufbau Principle
One electron is added to an atom of each successive element in accord with the Pauli exclusion principle and Hund’s rule.
Hund's Rule
Orbitals of equal energy become half-filled, with electron spins parallel, before any pairing of spins occur.
Valence electrons for main-group elements
Electrons involved in reactions are in the outer (highest energy) level only.
Valence electrons for transition metals
(n-1)d electrons are also considered valence electrons.
Because of shielding of d electrons by electrons in inner sublevels and penetration by the ns electron, the (n-1)d sublevel fills after what?
ns and before the np sublevels.
In Periods 6 and 7, what fills between the first and second (n-1)d orbitals?
(n-2)f orbitals fill between the first and second (n-1)d orbitals.
Elements within a group have what?
Similar outer electron configurations and similar chemical behavior.
Atomic Size
Half the distance between nuclei of adjacent atoms.
How does atomic size increase and decrease?
Increases down a main group and decreases across a period.
First Ionization Energy (IE1)
The energy required to remove a mole of electrons from a mole of gaseous atoms or ions.
How is First Ionization Energy (IE1) related to atomic size?
Inversely related to atomic size IE1 decreases down a main group and increases a period
Successive ionization energies of an element show what?
A very large increase after all valence electrons have been removed.
What does metallic behavior correlate with?
Large atomic size and low ionization energy.
How does metallic behavior increase and decrease?
Increase down a group and decrease from left to right across a period.
Why are Elements in Groups 1 and 2 strong reducing agents?
Lose electron readily.
Why are nonmetals in Groups 16 and 17 strong oxidizing agents?
Readily gain electrons.
Metal oxides are what?
Basic.
Nonmetal oxides are what?
Acidic.
How do oxides change across a period and down a group?
More acidic across a period and more basic down a group.
Many main-group elements form ions that are what?
Isoelectronic with the nearest noble gas.
Metals in Groups 13 to 15 what?
Lose either their np electrons or both their ns and np electrons.
Transition metals what?
Lose ns electrons before (n - 1)d electrons commonly and commonly form more than one ion
Why are Many transition metals and their compounds paramagnetic?
Atoms (or ions) have unpaired electrons.
Cations
Smaller than their parent atoms.
Anions
Larger than their parent atoms.
Ionic radius
Increases down a group.
Across a period, ionic radii what?
Generally decrease, but a large increase occurs from the last cation to the first anion.
What do Nearly all naturally occurring substances consist of?
Atoms or ions bonded to others.
Chemical Bonding
Allows atoms to lower their energy
Ionic Bonding
Metals atoms transfer electrons to nonmetal atoms, and the resulting ions attract each other and form an ionic solid.
Covalent Bonding
Most common between nonmetal atoms and usually results in individual molecules. Bonded atoms share one or more pairs of electrons that are localized between them.
Metallic Bonding
Many metal atoms pool their valence electrons into delocalized electron “sea” that holds all the atoms in the sample together
Lewis Electron-Dot Symbol
Shows valence electrons as dots surrounding the element symbol.
Octet Rule
Atoms lose, gain, or share electrons to attain a filled outer level of eight (or two) electrons.
In ionic bonding, what happens?
A metal transfers electrons to a nonmetal, and the resulting ions attract each other to form a solid.
Main-group elements what?
Often attain a filled outer level (either eight electrons or two electrons) by forming ions that have the electron configuration of the nearest noble gas
Ion formation by itself what?
Absorbs energy, but more than that quantity of energy is released when the ions form a solid.
High Lattice Energy of an Ionic Solid
The energy required to separate the solid into gaseous ions.
Lattice Energy
Determined by applying Hess’s law in a Born-Haber cycle
Lattice Energies
Increase with higher ionic charge and decrease with larger ionic radius (Coulomb’s law)
Ionic solids are what because of strong electrostatic attraction that keep ions in position?
Hard, conduct a current only when melted or dissolved, and have high melting and boiling points.
Ion pairs form when what?
In an ionic compound vaporizes
Covalent Bond
A shared, localized pair of valence electrons holds the nuclei of atoms together in a covalent bond, filling each atom’s outer level.
Bond Order
The number of shared paris between two atoms.
Bond Energy (strength)
The energy absorbed to separate the atoms; the same quantity of energy is released when the bond forms.
Bond Length
The distance between the nuclei of two atoms
For a given pair of atoms, bond order is what?
Directly related to bond energy and inversely related to bond length.
Molecular covalent substances
Soft and low melting because of the weak forces between the molecules, not the strong bonding forces within them.
Network covalent solids
Hard and high melting because covalent bonds join all the atoms in the sample.
Most covalent substances what?
Have low electrical conductivity because their electrons are localized and ions are absent.