Equations Flashcards
Molarity
Formula
cA = nA/v
moles of A divided by volume
cA units - moldm-3
nA - number moles (mol)
V - volume (dm3)
Molality
mA = nA / nB*MB
moles of B divided my mass
mA units - molkg-1
nB - moles B
MB - molar mass B
Mole Fraction
XA = nA /Σni
unitless
moles of A divided by total moles of the system
ΔG=
energetics of solution
ΔG = VΔp - SΔΤ
Volume, pressure, entropy, temperature
Chemical Potential μ
What is μ for an ideal gas?
μ= δG/δnA
for ideal gas, the chemical potential is the molar Gibbs energy at constant P and T
if the system is at EQUILLIBRIUM, what is the value of ΔrG, μΑ and μB?
ΔrG = 0
μΑ = μB
ΔrG=
ΔrG= νBμB - νAμA
i.e the difference in chemical potentials relative to their stoichiometries
IDEAL
dGm =
dGm = dμ = Vm dp
molar Gibbs = chemical potential = molar volume
initial Gibbs Gi=
nA( μΑ(Τ) + RTln(P/Pstd + μB(Τ) + RTln(P/Pstd) )
μ(T) - μstd(T)=
=RTln(p/pstd)
ΔGmix =
ΔGmix = Gf - Gi
= nRT(XAlnXA + XBlnXb)
XB - mole fraction of B