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  2.  
  3. Radboud Universiteit Nijmegen (RU)
  4.  
  5. Thermodynamics 2 (NWIMOL040)

Summary

Summary Thermodynamics 2
 3 purchases
  • Module
  • Thermodynamics 2 (NWIMOL040)
  • Institution
  • Radboud Universiteit Nijmegen (RU)
  • Book
  • Atkins\\\' Physical Chemistry

This is a compact summary of the course Thermodynamics 2. Includes information from the lecture notes, the book and the study guide. Consists of all the formulas used in the course, a compact summary and a glossary. The book used for this course is Physical Chemistry 10th edition from Atkins and De...

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  • No
  • Chapter 2: d, chapter 3: d, chapter 4: all, chapter 5: a-d, f, chapter 6: all, chapter 16: c.2-4. th
  • March 30, 2020
  • 14
  • 2019/2020
  • Summary

Subjects

  • exothermic
  • endothermic
  • equipartition
  • rotational
  • freedom
  • vibrational
  • spontaneous
  • phase diagram
  • sublimation point
  • critical point
  • gibbs
  • superfluid
  • first order
  • second order
  • binar
  • translationa
  • equilibrium

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  • Radboud Universiteit Nijmegen (RU)
  • Chemistry
  • Thermodynamics 2 (NWIMOL040)
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Summary Thermodynamics 2
Formulae

PV =nRT =NkT perfect gas

3 3
U = nRT = PV perfect atomic gas
2 2


dU =dQ+dW First Law for reversible and irreversible processes

dW =−Pext dV +dW ' W ' is non-volume work
dU =TdS−PdV only volume work




πT =( ∂∂VU ) T
internal pressure


1 ∂V
α= (
V ∂T )
expansion coefficient
P


−1 ∂ V
V ( ∂T )
κ =
T isothermal compressibility
P




CV= ( ∂Q
∂T )V
=(
∂U
∂T ) V
heat capacity at constant volume


3
C V = nR perfect gas
2

CP= ( ∂∂TQ ) =( ∂∂HT ) = 52 nR
P P
heat capacity at constant pressure


5
C P = nR perfect gas
2


dQrev
dS= Entropy
T
d S tot =dS +d S sur ≥0 Second Law for spontaneous processes in closed systems

dQ
dS ≥ Clausius inequality (T b is boundary temperature)
Tb

S ( T =0 ) =0 Third Law




1

, H=U + PV Enthalpy

dH =TdS+VdP
A=U−TS Helmholtz free energy

dA=−PdV −SdT
G=H −TS Gibbs free energy

dG=VdP−SdT




W max =(∆ A ¿T )

W ' max =(∆ G ¿ P ,T )


∆ H fus=T fus ∆ S fus equilibrium at melting point

∆ H vap=T vap ∆ Svap equilibrium at boiling point




dU =( ∂∂UV ) dV +( ∂∂TU ) dT
T V


∂U ∂U
dU =( ) dS+ (
∂V )
dV
∂S V S




( ∂∂ gy ) =( ∂∂ hx )
x y
Maxwell relation for df =gdx+hdy



( ∂∂TV ) =−( ∂∂ PS )
S V
Maxwell relation for U




F=C−P+2 Gibbs phase rule




( ∂∂Tμ ) =−S
P
m




( ∂∂ μP ) =V
T
m




V m(l ) ∆ P
p= p ¿ ∙ exp ⁡( ) effect of applied pressure ∆ P on vapour pressure p
RT

2

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