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spontaneous process (ΔG or ΔStotal)
happen under indicated conditions
may occur quick or slow
Are all process spontaneous in both directions?
no some are only spontaneous in one
ex: melting ice is spontaneous, but freezing water is not
entropy (ΔS)
the measure of disorderness in a system
how spread out a systems energy is
cannot be measured with an absolute valu e
the second law of thermodynamics
spontaneous processes always result in an overall increase in entropy of the universe
As solid → liquid → gas, the entropy (ΔS)
is increasingly greater than 0
As solid ← liquid ← gas, the entropy (ΔS)
is decreasingly less than 0
When is the entropy higher? What equation represents this?
when there are more energetically equivalent ways to arrange components of a system
S = k lnW
k = Boltzman’s constant
W = number of energetically equilibrium arrangements (microstates) possible for the system
What is Boltzman’s constant derived from?
the gas constant R and Avogadro’s number
k = R/NA
k = 1.38 × 10-23
third law of thermodynamics
used to calculate ΔS
entropy of pure, perfectly ordered crystalline substance at absolute of zero is 0
can be used to predict the sign of ΔS
at absolute 0, there is no thermal energy and particle (in a perefectly order crystalline structure) that exists in a single microstate
What unites do standard molar entropies (S°) have?
J/mol K
What are the standard thermodynamic conditions
298K, 1 atm gas P, and 1 M solute concentration
How can changes in entropy (ΔS°) be calculated
from S° values
ΔS°rxn = m (S° products) - n (S° reactants)
What is the overall change in entropy equal to?
to the change in entropy of the system + the change in entropy of the surroundings
When will ΔS° be positive?
when ΔS°sys and ΔS°surr are both positive
when ΔS°sys is negative but less than ΔS°surr
when ΔS°surr is negative but less than ΔS°sys
isothermal process
a system that causes no temperature change on the surrounding
For heat transfer, what does qsys =
-qsurr
What is the equation for ΔSsurr
ΔSsurr = -qsys/T OR = -ΔHsys/T
is the equation for ΔSuniv
ΔSuniv = ΔSsys - ΔHsys/T