Mixtures - thermo Flashcards
What is a mole fraction?
Number of moles of a species divided by the total number of moles of all species
What is the equation for mole fraction?
Xa = na / n
What is Dalton’s law?
The partial pressure of a gas in a mixture is the mole fraction times the total pressure
What is the equation for Dalton’s law?
Pa = XaP
Which equation did Dalton’s law originate from?
Ideal gas equation
pV = nRT
What is not taken into account in Dalton’s law?
The type of species
What are the three steps to use pV = nRT for Daltons equation?
Split it up into its parts
Add the two parts together
Take the ratios
What is the final equation from pV = nRT? What is this the same as?
Pa / p = Xa
Rearranged Dalton’s law
All gases are miscible, what does this mean?
They are all able to be mixed
What is the driving force for all gases being miscible?
A mixture is always more disordered than the pure substances
Is the change in entropy positive or negative?
Always positive
What is the value of Xa always?
Bigger than 0
Less than 1
What is the value of ln Xa always?
Less than 0
What is the equation for entropy of mixing?
ΔS = -nR (xA lnxA + xB lnxB)
Is there heat involved in the mixing of gases?
No
What is Raoult’s law?
The partial vapour pressure of a solvent in a mixture is proportional to its mole fraction in the solution and its vapour pressure when pure
What is the equation for Raoult’s Law?
Pa = xAP*a