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pressure of gas
the force that the gas exerts on the walls of its container as a result of collisions with container walls
ideal gas assumptions
pressure not too high
temp not close to condensation temp
atoms or molecules have no volume
no forces between atoms or molecules
Boyle's law
volume is inversely proportional to pressure
boyle's law formula
P1V1=P2V2
charles law
volume directly proportional to temperature (in K)
charles law formula
V1/T1=V2/T2
charles law combined with boyle's law
P1V1/T1= P2V2/T2
Avogardo's Law
equal volumes of gases at the same temperature and pressure contain equal numbers of molecules
Avogardo's Law formula
V1/n1 = V2/n2
ideal gas law
PV=nRT
In the same volume of different gases, what happens with moles
same number of moles
density
mass/volume
mass (from molar mass)
molar mass x moles
molar mass with density
mm = dRT/p
dalton's law
at constant volume and temperature, the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the component gases
total pressure =
sum of partial pressures
mole fraction
individual moles/ total moles
pressure is
directly proportional to moles
Partial pressure =
mole fraction x total pressure
sum of mole fractions
= 1
vapour pressure of water
the partial pressure of water
What does vapour pressure depend on?
temperature of the water
what happens to vapour pressure as temp increases
vapour pressure increases
Why does vapor pressure increase with temperature?
h2o molecules have more energy to move from liquid to vapour --> more gas molecules = higher pressure
boiling point
the temperature at which the vapor pressure of a liquid is just equal to the external pressure on the liquid
average molar mass
(Xa)(MMa) + (Xb)(MMb)...
Gas Reaction Stoichiometry
stoichiometric coefficents relate number of moles of reactant and product
Kinetic Molecular Theory of Gases
a model used to explain the behavior of gases
Assumptions of Kinetic Molecular Theory
molecule size is negligible
molecules moving through space are considered point particles
collisions between molecules are elastic
no intermolecular forces
kinetic energy proportional to temp
more particles =
more collisions = more pressure
bigger container =
less collisions = lower pressure
greater mass =
greater pressure
mean squared speed
U^2 = 3RT/ MM
root mean square speed
Urms = sqrt(3RT/MM)
comparing root mean square speed
UA/UB = sqrt (MMB/MMA)
do lighter or heavier gases effuse
lighter
are lighter or heavier gases faster
lighter
rate of effusion
# moles gas escaped/ time
Graham's law of effusion
states that the rate of effusion for a gas is inversely proportional to the square root of its molar mass
graham's law formula
Rate A/Rate B = √molar mass B/molar mass A
enrichment factor formula
f lighter gas = sqrt (MMB/ MMA)
lighter gas has to be in denominator
Thermodynamics
The study of energy changes in physical and chemical processes`
energy measured in
Joules
energy
the capacity to do work
thermal energy symbol
q
Heat flows from
hot to cold
open system
matter and energy
closed system
energy but not matter
isolated system
no energy or matter
work
force x distance
pressure volume work
the work involved in the expansion or compression of gases
w= -P x ΔV
heat capacity
the number of heat units needed to raise the temperature of a body by one degree.
specific heat capacity
the energy required to raise the temperature of one gram of a substance by one degree
specific heat capacity formula
q=mc∆T
specific heat capacity units
J/kg°C or K
molar heat capacity
the energy required to raise the temperature of one mole of a substance by one degree
positive q
system gains heat
endothermic
negative q
system loses heat
exothermic
thermal equilibrium
The state of two or more objects or substances in thermal contact when they have reached a common temperature
-qlost=
Qgained
extensive property
a property that depends on the amount of matter in a sample
example of extensive property
volume, mass, energy
intensive property
a physical property that remains the same no matter how much of a substance is present
example if intensive properties
temp, density, mp, bp, hardness
are extensive properties additive
yes
are intensive properties additive
no
state function
A function that depends only on the initial and final states of a system, not on the path in between.
state function examples
density, internal energy, enthalpy, entropy
NOT work or heat
Are work and heat state functions?
no
first law of thermodynamics
Energy can be transferred and transformed, but it cannot be created or destroyed.
total energy of isolated system is conserved
Internal energy
extensive property
state function
Ek+ Ep
what are the 2 ways to transfer energy
heat and work
exothermic
Releases heat
+q
endothermic
Absorbs heat
-q
work done to gas (compression)
positive work
work done by gas (expansion)
negative work
first law equation
ΔE = q + w
if system heated/ work done to it
+ΔE
if system cooled/does work
-ΔE
if system at constant volume what is E
ΔE = q
enthalpy
The heat content of a system at constant pressure
Enthalpy formula
H = E + PV
or at constant pressure : H= E=q
latent heat
heat absorbed or radiated during a change of phase at a constant temperature and pressure
solid to liquid
fusion
liquid to solid
-fusion
liquid to gas
vaporization
gas to liquid
-vaporization
solid to gas
sublimation
gas to solid
-sublimation
latent heat formula
ΔHn
Standard conditions
100kPa and 298K
-ΔH
exothermic
+ΔH
endothermic
Is enthalpy a state function?
Yes, enthalpy is a state function
Is enthalpy extensive or intensive?
extensive
calorimetry
The precise measurement of heat flow out of a system for chemical and physical processes
simple calorimetry formula
qrxn = -(qcal + qsol)
qcal=
Ccal∆T
what are the ways to measure qcal
1. place hot water in cal and measure Δt
2. perform rxn with known q and measure Δt
molar enthalpy
The enthalpy change associated with a physical, chemical or nuclear change involving one mole of a substance.