\n Properties of a gas (6) - atoms in constant random motion, fills the container it occupies, low density, compressible, mixtures are homogenous, fluid
Ideal gas assumption - often intermolecular forces are essentially negligible, size of the molecules can often be ignored
pressure is a measure of - the total amount of this push (force) exerted by gas molecules hitting the entire surface at one instant
Boyle’s Law - gases are compressible P1V1 = P2V2
At constant T and n (Boyle’s Law) - P and V are inversely proportional so as V decreases, pressure increase
Charles’s Law - Volume of a gas extrapolates to zero at absolution zero Kelvin V1/T1 = V2/T2
At constant P and n (Charles’s Law) - V and T are proportional so as T increases, V increases
Avogadro’s Law - Equal volumes of gases contain same number of moles V1/n1 = V2/n2
At constant P and T (Avogadro’s law) - V and n are proportional so as volume increases as moles increases
Amontons’s Law - Pressure of a gas increases as the temperature of the gas increases P1/T1 = P2/T2
At constant V and n (Amontons’s Law) - P and T are proportional so as T increase, P increases
Combined Gas Law - PiVi/Ti = PfVf/Tf
STP (standard temperature and pressure) - 0 degrees C, 273.15 K, 1atm, 22.4L/mol
Ideal gas constant or molar gas constant or universal gas constant (R=) - 0.08206Latm/molK
Ideal Gas Equation - PV = nRT : P in atm, V in liters, n in mols, T in K
Molecular Weight Determination - Mm = mRT/RV
Density Determination - D = MmP/RT
Dalton’s Law - sum of pressures of all different gases in a mixture equals the total pressure Ptot = Pa + Pb + Pc +…
Moles fraction X - a fraction of moles of “A” in the total moles of the mixture Xa = na/ntot = Pa/Ptot
Von der Waals - corrects for the nonideal nature of real gases (P + n^2a/v^2)(V-nb) = nRT
Kinetic-Molecular Theory - the volume of particles is negligible, particles are in constant motion, no inherent attractive or repulsive forces, and the average kinetic energy of particles is proportional to the temperature
Molecular speed (u) equation - u=√(3RT/Mm)
Diffusion - transfer of a gas through space over time
Effusion - transfer of a gas through a membrane or orifice rate of effusion is proportional to 1/√(Mm)
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The energy of a system is - its capacity to do work
Work - is done to achieve motion against an opposing force
Work= - (Force)(Distance)
When a system changes energy as a result of a difference in temperature between the system and surroundings ___ is exchanged - heat
Thermal motion - disorderly motion
Exothermic Process - a chemical reaction or physical change in which heat is evolved (q<0), heat transfers from a system to the surroundings
Endothermic Process - a chemical reaction or physical change in which heat is absorbed (q>0), heat transfers from the surroundings to a system
System - the part we are interested in
Boundary - can be physical or imaginary, permeable or impenetrable to the flow of matter, conducting or insulating to the heat, rigid or flexible
Surroundings - the rest of the universe
Kinetic Energy - energy of motion or energy that is being transferred
Potential Energy - energy that is stored in an object, or energy associated with the composition and position of the object
Internal Energy (U) - the sum of the kinetic and potential energy of the particles making up a substance
Kinetic or potential? Energy stored in the structure of a compound is - potential
Kinetic or potential? Thermal energy is - kinetic (motion of molecules)
Law of Conservation of Energy - Energy can neither be created or destroyed
Joule (J) - is the amount of energy needed to move an object by 1m with 1N force
1J = : 1M\*n=1kgm^2/s2
Calorie (Cal) - is the amount of energy needed to raise one gram of water by 1°C
1cal : = 4.184J
The internal energy of an isolated system is _ (1st law of thermodynamics) - The internal energy of an isolated system is CONSTANT
State Function - only depends on the initial and final conditions not on the process used (E and U are state functions)
Pressure Volume Work - work based on a change in volume
q=heat (thermal ) energy - the energy that flows into or out of a system because of a difference in temperature between the system and its surroundings
Heat - exchange of thermal energy, occurs when system and surroundings have a difference in temperature, heat flows from matter with high temperature to matter with low temperature until both objects reach the same temperature
Calorimetry - calculation of the amount of heat (q) from temperature change, means by which energy is transferred from a hot body to a colder body when the two are placed in thermal contact
Heat Capacity (C) - the quantity of heat required to raise the temperature by 1°C
Specific heat capacity (s) - heat required to raise the temperature of 1g of a substance by 1°C
Thermal Equilibrium - heat flows from matter with high temperature to matter with low temperature until both objects reach the same temperature
Enthalpy - the heat absorbed or evolved in a chemical reactions
Change in enthalpy for a reaction at a given temperature and pressure: H(products) minus H(reactants)
Change in enthalpy - the heat of reaction at constant pressure
△Hcond - molar enthalpy of condensation <0
△Hfreez - molar enthalpy of freezing <0
△Hvap - molar enthalpy of vaporization >0
△Hfus - molar enthalpy of fusion >0
Calorimetry at constant pressure - reactions done in aqueous solution are at constant pressure, the calorimeter is often nested foam cups containing the solution
Law of summation of heats of formation - the enthalpy of a reaction is equal to the total formation energy of the products minus that of the reactants
Standard enthalpy of formation - the enthalpy change for the formation of one mole of a substance in its standard state from its component elements in their standard state
Enthalpy of formation for a pure element in its standard state - is always 0
Heat of summation - for a chemical equation that can be written as the sum of two or more steps, the enthalpy change for this equation is then the sum of the enthalpy changes for the individual steps
Relationships Involving Hess’s Law - if a reaction can be expressed as a series of steps, then the △Hxn for the overall reaction is the sum of the heats of reaction for each step
Four “rules” of Hess’s Law - 1 Phases of reactants and products are important, 2 Temperature of the reaction is important, 3 If you reverse the reaction the sign of △rH° changes, 4 If the reaction is multiplied then △rH° must be multiplied as well
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Electromagnetic Radiation - A type of energy embodied in oscillating electric and magnetic fields traveling through space
Wavelength - The distance between any two adjacent identical points
Frequency - the number of wavelengths that pass a fixed point per second
Is light a wave? - Yes
Can light be diffracted? - Yes
Light has _ and _ interference - constructive and destructive
Electromagnetic spectrum - the range of wavelength or frequency of electromagnetic radiation
Blackbody radiation (the ultraviolet catastrophe) - when you heat a solid it can emit radiation (red-hot = 2000K, white-hot = 5000K, blue-hot > 8000K
Planck’s Quantum Theory - Energy of atoms and molecules take only discrete quantities
Planck’s Quantization of Energy - the atoms of a solid oscillate with a certain frequency
Photoelectric Effect - the ejection of electrons from the surface of metals by radiation, no electrons are ejected unless the frequency exceeds some threshold (depends on metal), the kinetic energy increases linearly with frequency but independent of intensity
Is light a particle? - Yes
Photoelectric Effect - An electron is ejected when it is struck by a single photon, it behaves like a particle, its energy is taken up by the electron
Energy level (Bohr’s Postulates) - An electron can have only specific energy levels in an atom
Transitions between energy levels (Bohr’s Postulates) - An electron can change energy levels by a “transition” from one energy level to another
When an electron undergoes a transition from a higher to a lower energy level, the energy is __ - When an electron undergoes a transition from a higher to a lower energy level, the energy is EMITTED AS A PHOTON
Is light a particle or a wave - Both (according to De Broglie)
De Broglie predicted that the wavelength of a particle was - inversely proportional to its momentum
Standing waves - only certain wavelengths can occur on a string
Circular standing wave according to De Broglie - if an electron behaves like a standing wave in a hydrogen atom the length of the wave must EXACTLY fit the circumference of the orbit
Heisenberg uncertainty principle - we cannot measure position and momentum with greaat precision simultaneously
The energy of an electron depends on its “residence” in certain orbital - a shell in a certain distance from the center, a subshell in a certain shape, the subshell with an orientation, e’s spin direction
Principal q.n. (n) - the “shell number” in which an electron “resides”, the smaller n is the smaller the orbital the lower the energy of the electron
Angular momentum g.n. (l) - distinguishes “sub shells” in a given shell that have different shapes, each main 0:s, 1:p, 2:d, 3:f, 4:g
Magnetic q.n. (ml) - distinguishes orbitals in a subshell that have different shapes and orientations in space, each subshell is subdivided into “orbitals” capable of holding a pair of electrons, and each orbital within a given subshell has the same energy
Spin q.n. (ms) - two possible spic orientations of electrons residing in a given orbital, each orbital can hold only two electrons whose spins must oppose one another
Electron Spin (ms) - electron pairs residing in the same orbital are required to have opposing spins, electrons behave like tiny bar magnets
Pauli exclusion principle - no two electrons can have the smae four quantum number
Electron Configuration - a particular distribution of electrons among available sub shells
Orbital diagram - each orbital is represented by a square or line, each group of orbitals is labeled by its sub shell notation
Electronic States - every atom has many possible electron configurations (ground state, excited states)
Aufbau Principle - A scheme to build the ground state electron configs of atoms by the “building up” order
Valance Electrons - Electrons that reside in the outermost shell, primarily involved in chemical reactions, same valence shell: similar chemical properties, elements within a given family have similar configurations
Paramagnetic Substance - weakly attracted by a magnetic field (unpaired)
Diamagnetic Substance - not attracted by a magnetic field (paired)
Periodic Law - when elements are arranged by Z, their physical and chemical properties vary periodically
Atomic Radius Trend - in a period (row) r decrease with Z increasing, in a group (column) r increases with period number
Ionization Energy - minimum energy needed to remove an electron from an atom (gas state, valence electron easiest to remove)
Periodic trend of IE - IE increase with Z increases within a given row, IE decreases as we go down a column
Successive Ionization - less electrons → stronger attraction → more IE is needed
Electron attachment - the amount of energy required to remove an electron from an anion
Periodic Trend of Electron Affinity - the more negative the EA, the more stable the negative ion; from lower left to upper right, EA becomes more negative
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Bonding - a chemical bond forms when the potential energy of the bonded atoms is less than the potential energy of the separate atoms
Lewis structures - that allow us to predict many properties of molecules (Electron Dot Structure)
Isoelectronic group of ions - ions that have the same number and configuration of electrons
Ionic Bonds - bond formed by electrostatic attraction between (+) and (-) ion
Covalent Bonds - Bond that share valence electrons, share sufficient number of electrons in order to achieve a noble gas electron configuration
Octet rule - tendency to have 8ei in outer shells (It’s 2e- for H2)
Coordinate Covalent bond - bonds between atoms where both electrons are donated by one of the atoms
Double bond - two pairs of electrons are shared between atoms
Triple Bonds - three pairs of electrons are shared between atoms
Polar covalent bond - the bonding electrons spend more time near one of the two atoms
Nonpolar covalent bond - for alike atoms (as in H2) the bonding electrons are shared equally
Polar bond - shared not equally (HCl)
Electronegativity - ability of an atom to draw bonding electrons to itself, increases from lower-left to upper-right corner
Polarity of Bond - the absolute difference in electronegativity of two bonded atoms
Nonpolar Bond - when the difference in electronegativity is small <0.5
Polar Bond - when the difference in electronegativity is larger >0.5
Ionic Bond - when the difference in electronegativity exceeds about 1.8
Steps to drawing Lewis Structures - 1. find total of all valence e- 2. arrange atoms radially with the least electronegative in the center placing one paif of e- per bond 3. distribute remaining electrons to electronegative atoms to satisfy octet rule 4. distribute any remaining electrons to center atom
Delocalized Bonding: Resonance - can represented by two different Lewis e-dot formulas or pair is shared (O3)
Expanded Octet Exception - the central atom has more tha n8 electrons (3rd period or greater)
Fewer then 8 Electrons Exception - the central atom does not need a full octet (very small atoms smaller than C)
Formal Charge - used to determine which structure is the most likely
Bond Theory VSEPR Model - Predicts shapes of molecules by assuming that the valence e pairs are arranged as far from one another as possible (to minimize repulsion)
electron pair arrangement steps - 1. Draw Lewis structure 2. Determine how many electron pairs are around the central atom 3. Arrange electron pairs according to VSEPR 4. Obtain geometry from directions of bonding pairs
Arrangement of 2 electron pairs - linear (180 degrees)
Arrangement of 3 electron pairs - trigonal planar (120 degrees)
Arrangement of 4 electron pairs - tetrahedral (109.5 degrees)
Arrangement of 5 electron pairs - trigonal bipyramidal (90, 120 degrees)
Arrangement of 6 electron pairs - octahedral (90 degrees)
Molecular Geometry of an atom with ***2*** bonding pairs and ***0*** lone pairs - linear
Molecular Geometry of an atom with 3 bonding pairs and ***0*** lone pairs - trigonal planar
Molecular Geometry of an atom with ***2*** bonding pairs and ***1*** lone pair - bent or angular
Molecular Geometry of an atom with ***4*** bonding pairs and ***0*** lone pairs - tetrahedral
Molecular Geometry of an atom with ***3*** bonding pairs and ***1*** lone pair - trigonal pyramidal
Molecular Geometry of an atom with ***2*** bonding pairs and ***2*** lone pairs - bent or angular
Molecular Geometry of an atom with 5 bonding pairs and 0 lone pairs -Trigonal bipyramindal
Molecular Geometry of an atom with ***4*** bonding pairs and ***1*** lone pairs - Seesaw
Molecular Geometry of an atom with ***3*** bonding pairs and ***2*** lone pairs - T-Shaped
Molecular Geometry of an atom with ***2*** bonding pairs and ***3*** lone pairs - linear
Molecular Geometry of an atom with ***6*** bonding pairs and ***0*** lone pairs - Octahedral
Molecular Geometry of an atom with ***5*** bonding pairs and ***1*** lone pairs - Square Pyramidal
Molecular Geometry of an atom with ***4*** bonding pairs and ***2*** lone pairs - Square Planar
Dipole Moment - a measure of the degree of charge separation in a molecule
Nonpolar Molecule (Dipole) - perfectly symmetric, having a 0 dipole moment
Polar Molecule (Dipole) - exhibiting any asymmetry, having a nonzero dipole moment