H Flashcards
Under conditions of given temperature and pressure a substance will be
found in one of these three states depending on:
Intermolecular forces V(r)
vs.
Kinetic energy 1/2mv²
phase
a form of matter that is uniform throughout in chemical composition and physical state.
as kinetic energy incerases
solid –> liquid –> gas
Kinetic energy and temperature
average kinetic energy of molecules is proportional to Temperature
avg kinetic energy formula
v¯ = √(8RT/πM)
M = molecular weight R = ideal gas constant T = temp (in K?)
molecules being separated and brought together
- attractive forces bring molecules together
- kinetic energy separates molecules
phase transition
the spontaneous conversion of one phase to another phase. Occurs at a characteristic temperature (transition
temperature) for a given pressure.
Enthalphy of phase changes: pure substances
DHₜᵣₐₙₛᵢₜᵢₒₙ
note: says transition
For a pure substance each phase transition has a specific enthalpy change per mole
vapor pressure
pressure exerted by the vapor at equilibrium with its condensed phase at a given temperature
solid-liquid equilibria
when kinetic energy is high enough molecules at the surface start moving freely out of their positions in the solid.
solid-vapor equilibria
when kinetic energy is high enough molecules at the surface start moving freely out of their positions in the
solid.
phase diagrams of pure substances
check slides 1
vapor pressure and liquids
Vapour Pressure is the pressure that exists above a liquid in a sealed container
THE CLAUSIUS-CLAPEYRON EQUATION
ln(p) = △Hᵥₐₚ/RT + constant
Two point clausius-clapeyron:
ln(p₂/P₁) = -△Hᵥₐₚ/R x (1/T₂ - 1/T₁)
P = pressure T = temp (K) △H = enthalpy of vaporisation R = gas constant
solution
= a homogeneous mixture, with no boundaries separating its components
types of solution
- heterogeneous eg. sand in water
- homogeneous eg. salt dissolved in water
solute
minority component in a solution.
solvent
majority component in a solution
concentration
amount of solute dissolved in solvent
Molarity formula
M = moles of solute/L of soln
Molality formula
m = moles of solute/mass (kg) of solvent
Molar fraction
x = moles of solute/(moles of solute + moles of solvent)
Molar fractions added up
molar fractions add up to 1
solubility
maximum amount of solute that can dissolve in a solvent at a given temperature
when will a solute spontaneously dissolve
solute will spontaneously dissolve if the formation of a solution leads to
the lowering of the total Gibbs energy (△G)
when spont solution will and wont form
if △G < 0 spont solution formation
if △G > 0 solution will not form
relating the equilibrium constant for the solubilization reaction to the Standard Gibb’s Free Energy change. (formula)
check pg 9 on slide 2
what is entropy related to
related to the number of ways in which a system can distribute
its energy.
entropy of solution vs entropy of solute and solvent
solution usually has higher entropy than the pure solute and pure solvent:
-more possible interactions when solute and solvent are
mixed than when pure.
-greater number of microstates due to greater number of different interactions present in solution
entropy and kinetic energy
The more freedom of motion particles have, the more ways they can
distribute their kinetic energy…….hence
S𝓰ₐₛ > Sₗᵢᵩᵤᵢ𝒹 > Sₛₒₗᵢ𝒹
△Sᵥₐₚ
△S𝒻ᵤₛ
formulas
△Sᵥₐₚ = S𝓰ₐₛ - Sₗᵢᵩᵤᵢ𝒹 > 0
△S𝒻ᵤₛ = Sₗᵢᵩᵤᵢ𝒹 - Sₛₒₗᵢ𝒹 > 0
△H°ₛₒₗᵤₜᵢₒₙ
△H°ₛₒₗᵤₜᵢₒₙ = △H°(lattice) + △H°(hydration)
probability molecule of a solvent (A) will go into gas phase
probability that a molecule of A will go into the gas phase is proportional to the probability of finding A at the liquid surface
probability that a molecule of solvent (A) will go into the liquid phase
probability that a molecule of A will go into the liquid phase is proportional to the probability of finding A in the gas phase.
rate of vaporization
rate of vaporization = k*xₐ
- probably means multiply lol
rate of condensation
rate of condensation = k’*pₐ
Raoult’s Law
At equilibrium condensation and vaporization rates must be equal
Raoult’s law formula
pₐ = (xₐ)(p*ₐ)
pₐ = vapor pressure of solvent xₐ = mole fraction of A p*ₐ = vapor pressure of pure solvent A
Raoult’s Law diagram
check pg.5 of slide 3
ideal solutions
solutions that obey Raoult’s law throughout the composition range from pure A to pure B.
vapor pressure and molar fraction
At very low concentrations the vapor pressure of the solute is proportional to the molar fraction but with a constant different from p*A
Henry’s Law
S𝓰ₐₛ = P𝓰ₐₛ x Kₕ
ideal-dilute solutions
solutions in which the solvent obeys Raoult’s law and the solute obeys Henry’s law.
pressure and gas solubility
Pressure has a major effect on the solubility of gases in solution
colligative property
A colligative property of a solution depends not on the nature of the chemical species dissolved in the solution but only on the amount of solute dissolved in the solution
examples of colligative properties
- vapor pressure lowering
- boiling point elevation
- freezing point depression
- osmosis
vapor pressure lowering
- Raoult’s Law can be used to estimate change in vapor pressure of solvent A for ideal dilute solution of solute B
- Assumed that only solvent obeys Raoult’s law. Lowering of vapor pressure does not depend on type of solute.
vapor pressure lowering equation
pₐ - pₐ = (xᵦ)(pₐ)
boiling point elevation
△T = (Kᵦ)(mᵦ)
mᵦ = molality of B Kᵦ = ebullioscopic cosntant or boiling point elevation constant
when boiling occurs
when the vapor pressure of the solvent is equal to that of the atmosphere
Adding a solute to solvent and effects on phase boundaries
-eg. adding NaCl to water leads to an inc in boiling point of water
why add ice to roads
addition of salt to the roads lowers the freezing point of water, this means that colder temperatures are required to form ice
Freezing point depression
△T = (K𝒻)(mᵦ)
Kf = cryoscopic constant
osmotic pressure (π)
π = hydrostatic pressure due to △h
osmosis
π = nᵦ/Vₛₒₗᵤₜᵢₒₙ x RT = cRT
hydrostatic pressure
a colligative property
applications of osmosis
responsible for movement of nutrients and water across cell walls.
colligative properties and ionic solutes
In this case, remember that the concentrations to use in the colligative property formula is that of TOTAL number of chemical species:
△T = i(Kᵦ)(mᵦ) △T = i(K𝒻)(mᵦ) π = icRT
i
van’t hoff factor, ideally equal to # of particles
what constitutes 1 phase
two miscible gases/liquids or solids
components
minimum number of independent species necessary to define the composition of ALL the phases in the system.
eg. sugar soln has 2 components (sugar + water) but a single phase
total pressure in vapor phase at equilibrium equation
p = (pₐ - pᵦ)(xₐ) + p*ᵦ
phase changes for one component systems vs multi component systems
one comp systems - phase changes at well defined temps
multi comp - phase changes over a range of temps
use of binary phase diagram
determine
- phases present
- composition of phases
- relative fractions of phases