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gas pressure relationship
the lower the pressure the less atoms. the higher the pressure the more atoms.
pressure formula
force/area
1 atm to Pa
101,325 Pa
1 atm to psi
14.7 psi
1 atm to torr and mmHg
760 torr and mmHg
boyles law equation
P1V1=P2V2
charles law
V1/T1=V2/T2
Avogrado's Law
V1/n1 = V2/n2
ideal gas law
PV=nRT
Gay lussacs law
P1/T1=P2/T2
molar volume at STP
1 mol = 22.4 L
density of a gas at STP
molar mass/22.4 L(molar volume)
molar density of a gas
P x molar mass / R x T
Dalton's Law of Partial Pressure Equation
Ptotal=P1+P2+P3...
P1/Pt= N1/Nt
at what conditions is the ideal gas law valid?
low pressure and high temperature
kinetic molecular theory
1. gases have a definite mass but no definite volume
2. they don't have intramolecular attraction or repulsion
3. they have continuous random motion
4. the collision between gas particles are elastic
5. average KE is the same for all gases at a given temp
root mean square velocity
the square root of 3RT/m
diffusion
movement of gas atoms/molecules from area of high concentration to an area of low concentration
effusion
when gas atoms/molecules escape through a small hole into a vacuum. rate of effusion is inversely proportional to the rms velocity
grahams law of effusion
lighter atoms or molecules have faster speed
rate A/ rate B= square root of molar mass of B/ molar mass of A
real gases
there is attraction between the gas molecules and volume for each gas particle.
van der waals equation for real gases at high P and low T
(P+a n/v ^2)(V-nb)=nRT
thermochemistry
the relationship between a chemical reaction and heat/energy
system
an object or chemical reaction under study
surroundings
environment around the system
law of conservation of energy
energy cannot be created or destroyed but an be transferred from one form to another
2 types of energy
kinetic and potential
kinetic energy
energy due to motion
ex- electric, thermal
potential energy
energy due to position
ex- chemical, nuclear
calorie to joules
4.184 joules
Calorie or kilocalorie to joules
1 Cal=1000cal=4184 J
kilowatt-hour to joules
3.60 x 10 ^ 6 J
first law of thermodynamics
conservation of energy- total energy of the universe is constant- energy cannot be created or destroyed
internal energy
internal energy of a system is the kinetic energy + the potential energy of all of the particles that compose a system
state function
only depends on the initial and final values not how you get there
If change in E is negative..
the system is giving energy to the surroundings
if change in E is positive..
system is gaining energy from surroundings
energy
the ability to do work.
work + heat
q is positive if..
system gains Energy
q is negative if..
system loses Energy
if work is negative..
the work is done by the system
if work is positive..
work is done on the system
if the change in energy is positive..
energy flows into the system
if the change in energy is negative..
energy flows out of the system
heat exchange
object at high temp will decrease until thermal equilibrium is reached
quantifying heat/ heat capacity equation
q= C x change in T
specific heat capacity
amount of heat necessary to raise the temp of 1 gram of a substance by 1 degrees C.
= q/change in T x mass
molar heat capacity
amount of heat needed to raise the temp of 1 mole by 1 degrees celcius
thermal energy transfer
= q + Cs + change in temperature
pressure volume work
w= pressure x change in volume
constant-volume calorimetry
q cal = C cal x change in T
enthalpy / heat of a reaction
= E + PV
if change in H is negative..
exothermic reaction- system is releasing heat to the surroundings
if change in H is positive..
endothermic reaction- system is taking heat from the surroundings
properties of enthalpy
state function
extensive property- depends on the quantity of matter
hess's law rules
1. if reaction is multiplied by a factor then the heat of the reaction is multiplied by the same factor
2. if a reaction is reversed the sign of H is also reversed
3. the final H of the reaction is the sum of all of the steps