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8th Week Chap(12-13) Thermodynamics and Spontaneous Processes• Standard State: The Thermodynamically stable state for
pure liquids(Hg) and solid(graphite), for gases ideal gas behavior, for solutions 1.0 molar concentration of the dissolved species at P= 1.0 atm and some specified T in each case
• Reversible and Irreversible processes:Processes that occur through a series of equilibrium states are reversible. Adiabatic(q=0) paths are reversible
• Thermodynamic Universe= System + Surrounding Isolated : No Energy and Matter can go in or outAdiabatic: No heat goes in or out
• Entropy (S): measure of disorderAbsolute Entropy S=kBln Number of Available Microstate
• Second Law of Thermodynamics: Heat cannot be transferred from cold to hot without workS ≥ q/T In-quality of ClausiusS = q/T for reversible (Isothermal) processes S > q/T for irreversible processes
Midterm Friday: Ch 9, 10, 11.1-11.3, 11.5, 18, 12.1-12.6 One side of 1 page notes(must be hand written), closed book Review Session Today 6-7 pm, in FRANZ 1260
What is the heat of reaction when V is not constant:When the system can do work against and external pressure !
Use the Enthalpy H=U + PV
Since H = U + (PV) if P=const and not V
H = U + PV but w = -PV
Therefore H = U - w but U = q + w by the 1st Law
@ P=const. qP= H
Note that the Enthalpy is a state function and is thereforeIndependent of path; It only depends on other state functionsi.e.,
H=U + PV !
Energy transferred as heat @ constant pressure
A Flame: CH4 + 2O2 CO2 + 2H2O(l) combustion gives off energy that is transferred as heat(q) to the gas in the piston which can do work against the Pext but sinceV is held, no pressure volume
q>0
Energy transferred as heat @ constant pressureqP = H
For Chemical Reactions AB H=HB – HA= Hprod – Hreac
Path(a) AB H=HB – HA
P=const H=HA – HB = q
Vq < 0 exothermic, q > 0 endothermic, q = 0 thermo-neutral
Path(b)
B
AH=q
P=const
AB (1)
AB (2) a catalyst
U=HB – HA
H is a State functionPath Independent
Thermodynamic Processes no reactions/phase
Transitions Ideal Gas expansion and compression
U= ncVT & H=ncP T
H=U + (PV)H =ncVT + nRTH=n(cV +R) T
For P=const qP=H=ncP T
cP=(cV + R) for all ideal gases
cV= (3/2)R atomic gases
cP= (5/2)R= 20.79 Jmol-1K-1
cV >(3/2)R for and diatomic gases Polyatomic gases
Thermodynamic Processes no reactions/phase Transitions
Ideal Gas expansion and compression
U= ncVT & H=ncP T
H=U + (PV)H =ncVT + nRTH=n(cV +R) T
For P=const qP=H=ncP T
cP=(cV + R) for all ideal gases
cV= (3/2)R atomic gases
cP= (5/2)R=(5/2)(8.31)cP =20.79 Jmol-1 K-1
cV >(3/2)R for and diatomic gases Polyatomic gases
Thermodynamic Processes no reactions/phase Transitions
UAC = qin + wAC qin= n cP(TB – TA) > 0 and wAC = - PextV
UCB = qout + wCB qout= n cV(TC – TB) < 0 and wCB = - PV=0
UAB = UCA + UCB = n cP(TB – TA) - PextV + n cV(TC – TB)
isotherm
qin>0
qout<0
Pext
Thermodynamic Processes no reactions/phase Transitions
UAC = qin + wAC qin= n cP(TB – TA) > 0 and wAC = - PextV
UCB = qout + wCB qout= n cV(TC – TB) < 0 and wCB = - PV=0
UAB = UCA + UCB = n cP(TB – TA) - PextV + n cV(TC – TB)
isotherm
qin>0
qout<0
Pext
wAC= - PextVAC
work=-(area)Under PV curve
wAC= - PextVAC
work=-(area)Under PV curve
Thermodynamic Processes no reactions/phase Transitions
UAC = qin + wAC qin= n cP(TB – TA) > 0 and wAC = - PextV
UCB = qout + wCB qout= n cV(TC – TB) < 0 and wCB = - PV=0
UAB = UCA + UCB = n cP(TB – TA) - PextV + n cV(TC – TB)
isotherm
qin>0
qout<0
Pext
wDB= - PextVAC
work=-(area)Under PV curve
wDB= - PextVAC
work=-(area)Under PV curve
H2O P-T Phase Diagram and phase transitions at P=const
Melting Point: heat of fusion H2O(s)H2O(l) Hfus= q= 6 kJmol-1
Boiling point; heat of vaporizationH2O(s)H2O(l) Hvap= 40 kJmol-1
For Phase Transitions at P=const:
A(s)A(l) Hfus= q Heat of FusionA(l)A(g) Hvap= q Heat of VaporizationA(s)A(g) Hvub= q Heat of Sublimation
NaCl(s)Na+(l )+ Cl-(l ) Molten liquid TM = 801 °CNa+(l )+ Cl-(l ) Na(g) + Cl(g) TB= 1413 °C
Heat transfer required to Change n mole of ice to steam at 1 atm
H2O P-T Phase Diagram
T1 T2
q= qice + nHfus + qwat + nHevap+ qvap
qice=ncp(s)T, qwat=ncp(l) T and qvap= ncp(g) T
For exampleIf a piece of hotmetal is placed ina container witha mole of water that was initially @Temperature T1 andThe water and metal came to equilibriumAt temperature T2
Physical Reaction/phase transitions
Fig. 12-14, p. 506
Hess’s Law applies to all State Function
A
B
D
C
AD (1)AB (2)BC
(3)CD
Example of Hess’s LawC(s,G) + O2(g) CO2(g) = -393.5 kJ CO2((g ) CO(g) + ½O2(g) = + 283 kJC(s,G) + O2(g) CO(g) + ½ O2(g) = ?
Example of Hess’s LawC(s,G) + O2(g) CO2(g) = -393.5 kJ CO(g) + ½O2(g) CO2((g) = -283 kJC(s,G) + O2(g) CO(g) + ½ O2(g) == -110.5 kJ
C(s,G) + O2(g) CO2(g) f (CO2(g) = -393.5 kJ mol -1
CO(g) + ½O2(g) CO2((g) = -283 kJ (enthalpy change)
C(s,G) + O2(g) CO(g) + ½ O2(g)
=f (CO) + 1/2
f(O2) – {f (C(s,G) +
f(O2)} = -110.5 kJmol-1
Standard Enthalpy Change
The Standard State:Elements are assigneda standard heat of Formation f= 0Solids/liquids in their stable form at p=1 atmIn species solution @ concentration of 1Molar
For compounds the f
Is defined by its formation From its elements in theirStandard states:
f = 0
In General for a reaction, with all reactants and products are at a partial pressure of one atm and/or concentration of 1 Molar
aA + bB fF + eE
The Standard Enthalpy Change at some specified Temperature
(rxn) f(prod) -
f(react)
(rxn) = f f(F) + e
f(E) – {af(A) + b
f(B)}
Elements in their standard statesElements in their standard states
energy
f(reactants)
(rxn
f(product)
State function U, H,
P=F(V,T)StateFunctionsare onlydefined inEquilibriumStates, doesnot dependon path !
Equations of State Surface P=nRT/V orPH2O=nRT/(V-nbH2O) - aH2O(n/V)2
Hot q(T1) Cold (T2)
T1 T2 for T2 < T1
Heat flows from hot to cold?
For the hot system q < 0And for the cold system q > 0
The process is driven by the overallIncrease in entropy!
At V=const U=q
Fig. 12-7, p. 495
Equivalence of work and heat (Joule’s Experiment)
h work=w=-mgh
-h
0
qin= 0
Since q=0 and U=w=-mgh=mgh But T changes by T!So the energy transferred as work would Correspond to a heat transfer q=CT
w=mgh
w = - (force) x (distance moved)
Gas
Pext Pext
Gash1 h2
w = -F(h2-h1)= PextA (h2-h1)=Pext(V2 - V1)
w = - Pext V V =hA and P=F/A
w < 0: system (gas in cylinder) does work: reduces U; V >0 w > 0: work done on the system: increases U; V <0
AA