phase changes and heat calculations

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Phase Changes and Phase Changes and Heat Calculations Heat Calculations

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Phase Changes and Heat Calculations. Obj. 1…Vapor Pressure. Vapor pressure (VP) is the P exerted at the surface of a. liquid by particles trying to escape the liquid. Obj. 2…VP and Temperature. As T , KE will. (direct relationship). - PowerPoint PPT Presentation

TRANSCRIPT

Phase Changes Phase Changes and Heat and Heat

CalculationsCalculations

Obj. 1…Vapor Obj. 1…Vapor PressurePressure

o Vapor pressure (VP)Vapor pressure (VP) is the P exerted at the is the P exerted at the surface of asurface of aliquid by particles trying to escape the liquid.liquid by particles trying to escape the liquid.

Obj. 2…VP and Obj. 2…VP and TemperatureTemperature

o As T , KE As T , KE will . will .

(direct (direct relationship)relationship)

o If liquid molecules gain enough KE, they will If liquid molecules gain enough KE, they will overcomeovercomethe intermolecular bonds that hold them together.the intermolecular bonds that hold them together.

become a become a gasgas

Obj. Obj. 3…Boiling/Melting 3…Boiling/Melting PointsPoints

o Boiling pointBoiling point (BP) (BP) = the temp. at which the VP = the temp. at which the VP of a liquidof a liquidis equal to the external pressure.is equal to the external pressure.

o BP is directly related to atmospheric BP is directly related to atmospheric pressure.pressure. a pot of water in Denver (mountains…low pressure) will a pot of water in Denver (mountains…low pressure) will

boil at aboil at alower temp. than a pot of water in Houston (sea level).lower temp. than a pot of water in Houston (sea level).

o normal BP normal BP is always measured at sea is always measured at sea level.level.o Melting PointMelting Point (MP) (MP) = the temp. at which a solid = the temp. at which a solid turns into turns into a liquid.a liquid.

KE increases pressure enough to break intermolecular KE increases pressure enough to break intermolecular bonds.bonds.

as KE of solid increases, molecules begin to vibrate as KE of solid increases, molecules begin to vibrate

if vibrations are strong enough, molecules will break if vibrations are strong enough, molecules will break away fromaway fromtheir fixed positionstheir fixed positions liquidliquid

Obj. Obj. 3…Boiling/Melting 3…Boiling/Melting PointsPoints

Obj. 4… Freezing/Melting Obj. 4… Freezing/Melting and Boiling/Condensation and Boiling/Condensation PointsPoints

o The freezing point (FP) and melting point (MP) of The freezing point (FP) and melting point (MP) of aa substance occur at the same temp.substance occur at the same temp.

FP FP (liquid solid)(liquid solid) is used as a substance is used as a substance losesloses KE KE (heat)(heat) molecules get slower and lock into place. molecules get slower and lock into place. MP MP (solid liquid)(solid liquid) is used as a substance is used as a substance gainsgains KE (heat)KE (heat) molecules break away from solid bonds.molecules break away from solid bonds.

o The boiling point (BP) and condensation point The boiling point (BP) and condensation point (CP) of a(CP) of asubstance occur at the same temp.substance occur at the same temp.

BP BP (liquid gas)(liquid gas) is used as a substance is used as a substance gainsgains KE KE (heat)(heat) molecules break away from liquid bonds.molecules break away from liquid bonds. CP CP (gas liquid)(gas liquid) is used as a substance is used as a substance losesloses KE KE (heat)(heat) molecules get slower and more attracted to molecules get slower and more attracted to

each other.each other.

Obj. 5…SublimationObj. 5…Sublimationo sublimationsublimation = a solid changing directly into a = a solid changing directly into a vapor (gas)vapor (gas)w/out passing through the liquid stage.w/out passing through the liquid stage.

o only occurs in certain solids with only occurs in certain solids with high VP. high VP. o Ex…naphthalene (moth balls), COEx…naphthalene (moth balls), CO22 (dry ice) etc… (dry ice) etc…

Obj. 6…Boiling vs. Obj. 6…Boiling vs. EvaporationEvaporation

o for a liquid to boil, the VP of the liquid for a liquid to boil, the VP of the liquid MUSTMUST = = thetheatmospheric pressure.atmospheric pressure.

o to accomplish this, we to accomplish this, we can…can… increase temp. of liquid ( KE = VP) increase temp. of liquid ( KE = VP)

reduce atmospheric pressurereduce atmospheric pressure

** entire pot of water boils at the ** entire pot of water boils at the same time!!!same time!!!o evaporation occurs evaporation occurs w/outw/out changing temp. or changing temp. or

pressure. pressure. surface molecules exposed to more KE surface molecules exposed to more KE (sun/atmosphere)(sun/atmosphere)than particles below surface.than particles below surface. this is a cooling process (high KE molecules leave, this is a cooling process (high KE molecules leave, low KElow KEmolecules stay).molecules stay).

** only occurs at the SURFACE of a ** only occurs at the SURFACE of a liquid!!!liquid!!!

Obj. 7…Volatile vs. Obj. 7…Volatile vs. Non-VolatileNon-Volatile

o volatile substancesvolatile substances evaporate very evaporate very easily and boil easily and boil at lowat lowtemps.temps.

o vapors are typically very strong and distinct.vapors are typically very strong and distinct.

o Ex…ammonia, gasoline, rubbing alcohol, acetoneEx…ammonia, gasoline, rubbing alcohol, acetone

o non-volatile substancesnon-volatile substances contain stronger bonds contain stronger bonds and do and do not evaporate easily.not evaporate easily.

o Ex…molasses, glue, paintEx…molasses, glue, paint

Obj. 8…KE and Obj. 8…KE and Intermolecular BondsIntermolecular Bondso As KE , the strength of intermolecular bonds As KE , the strength of intermolecular bonds will . will . (inverse (inverse relationship)relationship) heat causes KE toheat causes KE to

enough movement eventually breaks enough movement eventually breaks intermolecular bonds. intermolecular bonds.

heat causes KE toheat causes KE to molecules get slower, move less. molecules get slower, move less. eventually lock into place. eventually lock into place. bond strength increases. bond strength increases.

Obj. 9…Heating/Cooling Obj. 9…Heating/Cooling CurvesCurves

TimeTime

Temperature Temperature (KE) (KE)

SolidSolid

MeltingMelting

BoilingBoilingMPMP

BPBP

Heati

ng

H

eati

ng

C

urv

e:

Cu

rve:

• KE is

KE is

(melt

ing

an

d b

oilin

g)

(melt

ing

an

d b

oilin

g)

LiquidLiquid

Gas (vapor)Gas (vapor)• P

late

au

s =

ph

ase c

han

ges!

Pla

teau

s =

ph

ase c

han

ges!

temp. remains constant until EVERY molecule temp. remains constant until EVERY molecule changeschangesphase.phase.

Obj. 9 cont…Obj. 9 cont…C

oolin

g

Coolin

g

Cu

rve:

Cu

rve:

• KE is

KE is

(con

den

sati

on

an

d f

reezi

ng

)(c

on

den

sati

on

an

d f

reezi

ng

)

TimeTime

Temperature Temperature (KE) (KE)

SolidSolid

Gas (vapor)Gas (vapor)

LiquidLiquid

CondensationCondensation

FreezingFreezingCPCP

FPFP

Obj. 10…VocabularyObj. 10…Vocabulary

Obj. 11…Heat CalculationsObj. 11…Heat Calculations

o as a

su

bsta

nce c

han

ges p

hases,

tem

p.

rem

ain

s

as a

su

bsta

nce c

han

ges p

hases,

tem

p.

rem

ain

s

con

sta

nt

con

sta

nt

plateaus on heating/cooling curves. plateaus on heating/cooling curves.

until all molecules have completed the change!until all molecules have completed the change!

o to

calc

ula

te h

eat

gain

ed

/lost

du

rin

g a

to

calc

ula

te h

eat

gain

ed

/lost

du

rin

g a

ph

ase

ph

ase

ch

an

ge

ch

an

ge……

tota

l h

eat

(q)

= m

ass x

Hto

tal h

eat

(q)

= m

ass x

H(f

or

v)

(f o

r v)

heat

of

fusio

n…

h

eat

of

fusio

n…

u

se w

hen

u

se w

hen

m

elt

ing

!m

elt

ing

!

heat

of

heat

of

vap

ori

zati

on

… u

se

vap

ori

zati

on

… u

se

wh

en

boilin

g!

wh

en

boilin

g!

** B

oth

H**

Both

Hff an

d H

an

d H

vv

will b

e g

iven

to

will b

e g

iven

to

you

! you

!

Obj. 11 cont…Obj. 11 cont…

o Ex…

Ex…

How

man

y k

ilojo

ule

s (

kJ)

of

heat

are

req

uir

ed

to

How

man

y k

ilojo

ule

s (

kJ)

of

heat

are

req

uir

ed

to

melt

am

elt

a

10.0 gram ice cube at 0°C and 101.3 kPa? 10.0 gram ice cube at 0°C and 101.3 kPa? (Hf° = 0.334 kJ/g)(Hf° = 0.334 kJ/g)

tota

l h

eat

(q)

= m

ass x

Hto

tal h

eat

(q)

= m

ass x

Hff

tota

l h

eat

(q)

= 1

0.0

xto

tal h

eat

(q)

= 1

0.0

x0.334 0.334 kJ/gkJ/g

==

3.3

4

3.3

4

kJ

kJ

o Th

is c

an

be u

sed

for

an

y p

hase c

han

ge,

as lon

g

Th

is c

an

be u

sed

for

an

y p

hase c

han

ge,

as lon

g

as t

em

p.

as t

em

p.

remains constant remains constant (plateaus).(plateaus).

Obj. 12 and 14…Temp. Obj. 12 and 14…Temp. ChangesChanges

o To c

alc

ula

te a

tem

p.

ch

an

ge (

slo

pe)…

To c

alc

ula

te a

tem

p.

ch

an

ge (

slo

pe)…

heat

(q)

= m

x C

heat

(q)

= m

x C

pp x

x

ΔΔ T T

mass

mass

sp

ecifi

c h

eat

sp

ecifi

c h

eat

cap

acit

y

cap

acit

y

**

giv

en

…ch

an

ges w

/ **

giv

en

…ch

an

ges w

/ p

hases!*

*p

hases!*

*

ch

an

ge in

ch

an

ge in

te

mp

…(T

tem

p…

(Tff –

TT

ii))

o Ex…

Ex…

Th

e t

em

p.

of

a 6

4.0

g s

am

ple

of

HTh

e t

em

p.

of

a 6

4.0

g s

am

ple

of

H22O

is r

ais

ed

fro

m

O is r

ais

ed

fro

m

20.0

°C20.0

°Cto 40.0°C. How much heat is required? to 40.0°C. How much heat is required? (C(Cpp water = 4.184 J/g°C) water = 4.184 J/g°C)h

eat

(q)

= m

x C

heat

(q)

= m

x C

pp x

x

ΔΔTT

40-2

0 =

40-2

0 =

20

20

q =

64

q =

64

xx

4.1

84 x

4.1

84 x

20°

20°

==

5360

5360

jou

les

jou

les

Obj. 12 and 14 cont…Obj. 12 and 14 cont…

o W

e c

an

com

bin

e t

he p

hase c

han

ge e

q.

an

d t

he

We c

an

com

bin

e t

he p

hase c

han

ge e

q.

an

d t

he ΔΔ

te

mp

. te

mp

.

eq. to find the total heat absorbed on a heating curve.eq. to find the total heat absorbed on a heating curve.

o Ex…

Ex…

How

mu

ch

heat

is n

eed

ed

to c

han

ge 3

2.0

gra

ms o

f H

ow

mu

ch

heat

is n

eed

ed

to c

han

ge 3

2.0

gra

ms o

f HH

22O

at

O a

t

-30.0°C to 45.0°C? -30.0°C to 45.0°C?

time time

tem

p.

tem

p.

-30°C-30°C

45°C45°C

**

mu

st

do 3

sep

ara

te

** m

ust

do 3

sep

ara

te

eq

uati

on

s…

eq

uati

on

s…

1) 1) ΔΔ temp. from -30°C to temp. from -30°C to 0°C0°C2) Phase change (melting)2) Phase change (melting)

1) 32.0 x1) 32.0 x

3) 3) ΔΔ temp. from 0°C to temp. from 0°C to 45°C45°C

(m x C(m x Cpp x x ΔΔT)T)

(m x C(m x Cpp x x ΔΔT)T)

(m x H(m x Hff))

2016 J2016 J

2) 32.0 x2) 32.0 x 10684.8 J10684.8 J

3) 32.0 x3) 32.0 x 6024.96 J6024.96 J

add together = add together =

18700 J18700 J

113322 2.1 x2.1 x30 =30 =

333.9 =333.9 =

4.184 x4.184 x45 =45 =

(H(Hff water = 333.9 J/g, C water = 333.9 J/g, Cpp ice = 2.1 J/g°C, C ice = 2.1 J/g°C, Cpp water = 4.184 J/g°C) water = 4.184 J/g°C)

o +

q (

heat)

= e

nd

oth

erm

ic

+q

(h

eat)

= e

nd

oth

erm

ic

reacti

on

reacti

on

Obj. 12 and 14 cont…Obj. 12 and 14 cont…

o -q

(h

eat)

= e

xoth

erm

ic

-q (

heat)

= e

xoth

erm

ic

reacti

on

re

acti

on

(heat absorbed)(heat absorbed)

(heat released)(heat released)

o g

rap

hic

ally…

gra

ph

ically…

RR

PP

Enthalpy Enthalpy ((ΔΔH) H)

TimeTime

Enthalpy Enthalpy ((ΔΔH) H)

TimeTime

RR

PP

** R

have

R h

ave less

less

heat

heat

than

P =

than

P =endothermic!endothermic!

** R

have

R h

ave m

ore

more

heat

than

h

eat

than

P

=P

=

lost

heat

lost

heat

=

= exothermic!exothermic!

gain

ed

heat

gain

ed

heat

=

=

Obj. 12 and 14 cont…Obj. 12 and 14 cont…

o to

calc

ula

te h

eat

of

reacti

on

(H

to c

alc

ula

te h

eat

of

reacti

on

(H

rr) f

rom

a g

rap

h…

) fr

om

a g

rap

h…

HHrr =

=

ΔΔHH

pro

du

cts

pro

du

cts –

ΔΔHH

reacta

nts

reacta

nts

((ΔΔHH))

TimTimee

RR

PP((ΔΔHH))

TimTimee

RR

PP154 kJ154 kJ

561 kJ561 kJ

HHrr =

154 –

561 =

=

154 –

561 =

--407kJ

407kJ

-q

= e

xoth

erm

ic!

-q =

exoth

erm

ic! 45.2 45.2

kJkJ

113.5 kJ113.5 kJ

HHrr =

113.5

– 4

5.2

=

= 1

13.5

– 4

5.2

=

68.3

68.3

kJ

kJ

+q

=

+q

=

en

doth

erm

ic!

en

doth

erm

ic!

Obj. 13 and 16…Phase Obj. 13 and 16…Phase DiagramsDiagrams

o a

a p

hase d

iag

ram

ph

ase d

iag

ram

rep

resen

ts t

he P

-T r

ela

tion

sh

ips

rep

resen

ts t

he P

-T r

ela

tion

sh

ips

b/n

th

eb

/n t

he

different phases of the same substance.different phases of the same substance.

o each

poin

t on

th

e c

urv

es s

how

s t

he T

an

d P

at

each

poin

t on

th

e c

urv

es s

how

s t

he T

an

d P

at

wh

ich

tw

ow

hic

h t

wo

phases are in equilibrium. phases are in equilibrium. (conditions for phase changes (conditions for phase changes to occur!)to occur!)

Obj. 13 and 16 cont…Obj. 13 and 16 cont…

o th

e p

oin

t at

wh

ich

all 3

cu

rves in

ters

ect

=

the p

oin

t at

wh

ich

all 3

cu

rves in

ters

ect

= t

rip

le

trip

le

poin

tp

oin

t ..

represents T and P at which all 3 phases exist represents T and P at which all 3 phases exist simultaneously! simultaneously! triple point for water is 0.016°C and 0.61 kPa triple point for water is 0.016°C and 0.61 kPa every substance has its own triple point. every substance has its own triple point.

Obj. 15…Liquefying Obj. 15…Liquefying GasesGases

o tw

o w

ays t

o liq

uefy

(con

den

se)

a g

as…

two w

ays t

o liq

uefy

(con

den

se)

a g

as…

atmospheric pressure.atmospheric pressure. VP of gas would be lower than atmospheric VP of gas would be lower than atmospheric pressurepressure

temperature of gas.temperature of gas.

KE of gas decreases causing bond strength to KE of gas decreases causing bond strength to increaseincrease