CHAPTER1:THERMOCHEMISTRY SpecificHeatCapacity(c)
Quantityofheatrequiredtochangethetemperatureof1gramofa
MEETING#1 substanceby1K.
UnitisJ/gK.
Thermochemistry
Branchofthermodynamicsthatdealswiththeheatabsorbedorproducedby q = mcΔT
achemicalreaction. MolarHeatCapacity(cn)
Quantityofheatrequiredtochangethetemperatureof1moleof
Exothermic substance1K.
Releasesenergy. UnitisJ/molK.
ex.Cellularrespiration,freezing(liquidtosolid),condensation(gasto
liquid),deposition(gastosolid),combinationandcombustionreactions q = ncn ΔT
Endothermic ThermalEquilibrium
Absorbsenergy. Twobodiesinitiallyatdifferenttemperatureswilleventuallyreach
ex.Photosynthesis,melting(solidtoliquid),evaporating(liquidtogas), equilibriumatthesametemperature.
sublimation(solidtogas),decompositionreactions
−q =q
Heatvs.E nergy
1stLawofThermodynamics(LawofConservationofEnergy)
Heat(q) Energy,includingthermalenergy(heat),canneitherbecreatednor
Acontinuousflowofenergyfromhightemperature(whichhasahigh destroyed.
amountofKE)tolowtemperature(lowKE).
Resultsinachangeoftemperature.
Asanenergy,itiscalledthermalenergy.
Energy
Abilitytodowork.
ex.Steamengine(heatdoingwork)
W = F dcosθ
System
Theitemorreactionofinterest.
OpenSystem
Allowsexchangeofenergyandmatter.
ex.Puddleinthesun,waterevaporatesandKEistransferred
ClosedSystem
Allowsexchangeofenergybutnotmatter.
ex.Simulationwithironandbrick(VLQ1)
IsolatedSystem
Doesnotallowexchangeofenergyandmatter.
ex.Thermos
Surrounding
Everythingelsethatisnotthesystem.
HeatTransferandT emperatureChanges
Calorimetry
Themeasureofheatflow.
Usescalorimeter.
HeatCapacity(C)
Quantityofheatrequiredtochangeitstemperatureby1K.
UnitisJ/K.
q = C ΔT
Ifq>0,thenitisendothermic,absorbsheat.
Ifq<0,thenitisexothermic,releasesheat.
LowHeatCapacity
Objectsthatcaneasilyheatup.
ex.Metals,conductors
,
HEATTRANSFERa ndTEMPERATURECHANGES 3. Howmuchheatisneededtowarm2.75molofwater
from22.0°Ctonearitsboilingpoint,98°C?The
HeatCapacity q = C ΔT specificheatofwateris4.18J/gK.
SpecificHeatCapacity q = mcΔT
MolarHeatCapacity q = nC n ΔT G: n=2.75mol R:q
Ti =22.0°C
Tf =98°C
1. Largebedofrocksareusedinsomesolar-heated c=4.18J/g°C
homestostoreheat.Calculatethequantityofheat
absorbedby50.0kgofrocksiftheirtemperature E: q = mcΔT
increasesby12.0°C.Assumethatthespecificheatof ΔT = T f − T i
therocksis0.82J/gK.
S: H2O=2 .02+ 1 6 =18.02g /mol
G: m=50.0kg R:q 2.75 mol · 18.02 g
1 mol = 49.555 g
c=0.82J/g°C
ΔT=12.0°C q = (49.555 g) (4.18 J /g °C) (98 °C − 22.0 °C)
q = (207.1399 J /°C) (76 °C)
E: q = mcΔT
q=1
5700J
1 000 g
S: 50.0 kg · 1 kg = 50 000 g
q = (50 000 g)(0.82 J /g°C)(12.0 °C) 4. A27.7gsampleofethyleneglycol,acarradiator
coolant,loses688Jofheat.Whatwastheinitial
q=4
90000J temperatureoftheethyleneglycolifthefinal
temperatureis32.5°C(cofethyleneglycolis2.42J/g
2. Whattemperaturechangewouldtheserocks K)?
undergoiftheyabsorbed450kJofheat?
G: m=27.7g R:Ti
G: m=50.0kg R:ΔT c=2.42J/g°C
c=0.82J/g°C Tf =32.5°C
q=450kJ q=-688J
q
E: q = mcΔT → ΔT = mc E: q = mcΔT → q = mc (T f − T i )
50.0 kg · 1 1000 − 688 J = (27.7 g) (2.42 J /g °C) (32.5 °C − T i )
g
S: kg = 50 000 g S:
450 kJ · 1 1000 J − 688 J = (67.034 J °C) (32.5 °C − T i )
kJ = 450 000 J (67.034 J °C) (32.5 °C −T i )
− 688 J
67.034 J °C = 67.034 J °C
ΔT = 450 000 J
(50 000 g)(0.82 J /g °C) = 450 000 °C
41 000 − 10.26345 °C = 32.5 °C − T i
T i = 32.5 °C − 10.26345 °C
ΔT=1
1°C
Ti =4
2.8°C
CHAPTER1:THERMOCHEMISTRY SpecificHeatCapacity(c)
Quantityofheatrequiredtochangethetemperatureof1gramofa
MEETING#1 substanceby1K.
UnitisJ/gK.
Thermochemistry
Branchofthermodynamicsthatdealswiththeheatabsorbedorproducedby q = mcΔT
achemicalreaction. MolarHeatCapacity(cn)
Quantityofheatrequiredtochangethetemperatureof1moleof
Exothermic substance1K.
Releasesenergy. UnitisJ/molK.
ex.Cellularrespiration,freezing(liquidtosolid),condensation(gasto
liquid),deposition(gastosolid),combinationandcombustionreactions q = ncn ΔT
Endothermic ThermalEquilibrium
Absorbsenergy. Twobodiesinitiallyatdifferenttemperatureswilleventuallyreach
ex.Photosynthesis,melting(solidtoliquid),evaporating(liquidtogas), equilibriumatthesametemperature.
sublimation(solidtogas),decompositionreactions
−q =q
Heatvs.E nergy
1stLawofThermodynamics(LawofConservationofEnergy)
Heat(q) Energy,includingthermalenergy(heat),canneitherbecreatednor
Acontinuousflowofenergyfromhightemperature(whichhasahigh destroyed.
amountofKE)tolowtemperature(lowKE).
Resultsinachangeoftemperature.
Asanenergy,itiscalledthermalenergy.
Energy
Abilitytodowork.
ex.Steamengine(heatdoingwork)
W = F dcosθ
System
Theitemorreactionofinterest.
OpenSystem
Allowsexchangeofenergyandmatter.
ex.Puddleinthesun,waterevaporatesandKEistransferred
ClosedSystem
Allowsexchangeofenergybutnotmatter.
ex.Simulationwithironandbrick(VLQ1)
IsolatedSystem
Doesnotallowexchangeofenergyandmatter.
ex.Thermos
Surrounding
Everythingelsethatisnotthesystem.
HeatTransferandT emperatureChanges
Calorimetry
Themeasureofheatflow.
Usescalorimeter.
HeatCapacity(C)
Quantityofheatrequiredtochangeitstemperatureby1K.
UnitisJ/K.
q = C ΔT
Ifq>0,thenitisendothermic,absorbsheat.
Ifq<0,thenitisexothermic,releasesheat.
LowHeatCapacity
Objectsthatcaneasilyheatup.
ex.Metals,conductors
,
HEATTRANSFERa ndTEMPERATURECHANGES 3. Howmuchheatisneededtowarm2.75molofwater
from22.0°Ctonearitsboilingpoint,98°C?The
HeatCapacity q = C ΔT specificheatofwateris4.18J/gK.
SpecificHeatCapacity q = mcΔT
MolarHeatCapacity q = nC n ΔT G: n=2.75mol R:q
Ti =22.0°C
Tf =98°C
1. Largebedofrocksareusedinsomesolar-heated c=4.18J/g°C
homestostoreheat.Calculatethequantityofheat
absorbedby50.0kgofrocksiftheirtemperature E: q = mcΔT
increasesby12.0°C.Assumethatthespecificheatof ΔT = T f − T i
therocksis0.82J/gK.
S: H2O=2 .02+ 1 6 =18.02g /mol
G: m=50.0kg R:q 2.75 mol · 18.02 g
1 mol = 49.555 g
c=0.82J/g°C
ΔT=12.0°C q = (49.555 g) (4.18 J /g °C) (98 °C − 22.0 °C)
q = (207.1399 J /°C) (76 °C)
E: q = mcΔT
q=1
5700J
1 000 g
S: 50.0 kg · 1 kg = 50 000 g
q = (50 000 g)(0.82 J /g°C)(12.0 °C) 4. A27.7gsampleofethyleneglycol,acarradiator
coolant,loses688Jofheat.Whatwastheinitial
q=4
90000J temperatureoftheethyleneglycolifthefinal
temperatureis32.5°C(cofethyleneglycolis2.42J/g
2. Whattemperaturechangewouldtheserocks K)?
undergoiftheyabsorbed450kJofheat?
G: m=27.7g R:Ti
G: m=50.0kg R:ΔT c=2.42J/g°C
c=0.82J/g°C Tf =32.5°C
q=450kJ q=-688J
q
E: q = mcΔT → ΔT = mc E: q = mcΔT → q = mc (T f − T i )
50.0 kg · 1 1000 − 688 J = (27.7 g) (2.42 J /g °C) (32.5 °C − T i )
g
S: kg = 50 000 g S:
450 kJ · 1 1000 J − 688 J = (67.034 J °C) (32.5 °C − T i )
kJ = 450 000 J (67.034 J °C) (32.5 °C −T i )
− 688 J
67.034 J °C = 67.034 J °C
ΔT = 450 000 J
(50 000 g)(0.82 J /g °C) = 450 000 °C
41 000 − 10.26345 °C = 32.5 °C − T i
T i = 32.5 °C − 10.26345 °C
ΔT=1
1°C
Ti =4
2.8°C