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list all the state functions and path functions that are relevant to the course
path: only q and w
state: the rest (U,p,T,V)
Isobaric
constant pressure
Isochoric
constant volume
Isothermal
constant temp
Adiabatic
no heat transfer
Conversion between constant pressure and constant volume heat capacities
MAKE SURE they are both molar heat capacities. If not, convert (divide by the number of moles)
cp = cv + R (constant pressure heat capacity is ALWAYS greater)
Converting gauge pressure to absolute pressure
Gauge pressure is the SMALL one. Gauge pressure PLUS 1atm is absolute pressure
Work done by a gas if volume doesn’t change
Constant volume - work must be 0, U=q
When are w and w each positive?
positive work - work done ON the system (compression of a gas is positive), positive heat transfer - heat transfered INTO the system
Two types of heat
Latent - resulting phase change, no resulting temperature change
Sensible - temperature increases
Pressure formula
Delta P = (density)(gravity)(delta height), so if the height changes by a certain amount the temperature changes proportionally. Going higher up away from the centre of the earth DECREASES pressure. Higher = LESS pressure
Finding enthalpy of reaction from combustion and/or formation enthalpies
Always just use Hess’s law: write out the full reactions, make sure your moles are right, and then Hess it out
Things to remember when doing Hess’s law
There’s a lot to keep track of. You probably messed up. Be completely sure everything cancels properly
Make sure your enthalpies have the correct signs. Combustion is always exothermic (negative), formation of any stable oxide or of water is also always exothermic, and for phase changes you know it.
What is a calorie in SI units
4.184 Joules
When will spontaneous compression or expansion of a gas STOP?
When the pressure of the gas is equal to the external pressure. The mass of anything pushing down on the gas should be added to the atmospheric pressure to get the external pressure
Pressure in SI units (Pa)
Pressure = Force / Area = N / m²
Force = mass x acceleration = Kg/m*s^(-2)
Pressure = (kg) / (m * s²)
Pascal’s principle
Pressure remains constant throughout a fluid, so if you have a much greater area you will also get a much greater force
Partial pressures (Dalton)
Total pressure of a mix of gasses = the sum of all the partial pressures
Partial pressure of a gas = its mole fraction * the total pressure of all the gasses
The mole fraction of a gas = (the number of moles of that gas) / (the total number of moles of all the gasses including that gas)
Van der Waal’s equation: what do a and b represent
a - particles have intermolecular forces
b - particles have volume
What is the definition of reversible work (mathematically)
work is equal to (-1) times the integral of P(ext) from (Vf - Vi) with respect to V (work is the area under the pressure-volume curve between Vi and Vf)
What criteria must ALL be met in order to use this formula: w=-nRTln(Vf/Vi)
Must be an ideal gas
Must be an isothermal process (constant temperature)
MUST be a reversible process (NOT spontaneous)
What criteria must ALL be met in order to use this formula: w=-P(ext) (delta V)
Must be an irreversible process
External pressure must be constant
Reversible vs irreversible process (not formulas, conceptually)
Reversible: system is in equillibrium with its surroundings throughout, which means that Pext is always approximately equal to Pgas at every step
Irreversible: Often sudden/spontaneous expansion or compression against constant external pressure. Pext is NOT equal to Pgas throughout the process. Usually for an irreversible process external pressure IS constant though, so we can just use -Pext(delta V) to find work. Pext doesn’t HAVE to be constant for a process to be irreversible, though. It just has to be not always equal to Pgas.
Is irreversible work or reversible work less for the same change
Irreversible work (sudden change) is ALWAYS LESS work than reversible work