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8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically...

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8 th 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 out Adiabatic: No heat goes in or out Entropy (S): measure of disorder Absolute Entropy S=k B ln Number of Available Microstate Second Law of Thermodynamics: Heat cannot be transferred from cold to hot without work S ≥ q/T In-quality of Clausius S = q/T for reversible (Isothermal)
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Page 1: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 2: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 3: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 4: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 5: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 6: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 7: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 8: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 9: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 10: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 11: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 12: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 13: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

Fig. 12-14, p. 506

Hess’s Law applies to all State Function

A

B

D

C

AD (1)AB (2)BC

(3)CD

Page 14: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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) = ?

Page 15: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 16: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 17: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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)

Page 18: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 19: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 20: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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

Page 21: 8 th Week Chap(12-13) Thermodynamics and Spontaneous Processes Standard State: The Thermodynamically stable state for pure liquids(Hg) and solid(graphite),

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


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