10. —

t t p

T T Smp t

pT d u

pT d

/ /

pT d

(LNG) pT d

pT d

p

Z p d

W a W a t u u mp

tmp d u t u

tT W a S W a S u tT

t n u e

pTZ

u e S Sm u

W T n mpT d Z

1827 d

mp — u mpTp

u d u mp cZ a

u d u d

a d d pT

t u t d

tm d

T 100

T p 100

d utmp T d m tmpT

W a pT R T

pT

a u T nut d

t a pT d 1850 u a

Clausius-Clapeyron 1888 u a Antoine 1923

u a Cox t d a u Antoine 5

p mpT d p

T un u tmpTZ t

utmpTZ d Wagner

u

p

S p t T

t a ut d

Clausius Clapeyron 1850

ln(Pvp)=A-B/T B=ΔHv/RΔZv

Antoine 1888

log(Pvp)=A-B/(T[ ]+C

Cox 1923

log(Pvp)= A- B/( T[ ]+230)

Extended Antoine Equation

log(P[bar])=A-B/(T[K]+C-273.15)+0.43429Xn+EX6+FX12

5

log P = A + B/T + C*logT+DT+ET2

M Wagner Equation

ln Pvpr = (aτ + bτ1.5 + cτ3 + dτ6 )/Tr (τ=1-Tr)

- c S T d

Clausius-Clapeyron Δ Antoine

Antoine C Cox 230 T

Δ pT d

B Clausius-Clapeyron a pT u

B=ΔHv/RΔZv ΔHv KJ/mol, S

S u p aT 0 C4B

T d -

ut d

Δ Δ p Antoine

Antoine C Cox 230 Z

Cox T 230 T

ut d tmpZ d Δ

T p p t

n-Butanol, Ethyl Ether, Diethyl Amine, Diethyl Sulfide,

N,N-Dimethyl acetoamide, Heptane 6

d u p d

1u d u d

1. Antoine

.

Antoine u mp 1/(Tref[ ]+Antoine

C)u p 2 u t ut d

n Δ u u

a S d

2. Δ

t T Antoine C

a t d 1/(Tref[ ]+Antoine C)

u S u c p Antoine C

aT a t pT d u

p d c

p a u p t

pT d n

d t

d Δ Antoine C T d

Z t

Antoine C a t d

Z Z pT

3.

a uAntoine B/(Tref[ ]+Antoine C)u p

3 u e d u

d Antoine B/(Tref[ ]+Antoine

C) S u e ut

u d u

e ut pT d

Antoine B uW (J/mol)

Clausius-Clapeyron u S d u T S

d 4

4. Antoine B (J/mol)

n u mp Antoine B/(Tref[ ]+Antoine C)

Smp 25 tT T

d T l l du

T d u

d p Antoine B/(Tref[ ]+Antoine C)

u p p a

ut pT d T T

25 T

c S pT d

u a u t

d a u

(32hPa) 25 uW

2442KJ/kg d 1 100 uW 2257KJ/Kg

d t

mpT u

u e u d u

Z d

ut d KJ/Kg, KJ/mol

T d KJ/mol T d

u t KJ/Kg T d

KJ/mol p T d

a p d u u KJ/Kg

d (KJ/mol) u

t Trouton’s Rule( 1884 )

S d

CHvap=88*Tboiling

uS 1mol S

ut d

G=H-TS G/Tbp =(H/Tbp) - S=0 t d

Trouton’s Rule u

88J/(mol K)ut d uW

t u p d 5u d u

(HC) cut d

5. Trouton’s Rule u

Za u e

ut T u

n Z tm a p

t un p t

c88J/(mol K)ut T pT d

t uS Hildebrand Δ (1929 )

t

m n a aT

T t ut u t u

t 88J/(mol K) Zt d

6. —Δ

6u d u (HC)

T d ut d t

at

mp d S a

pT — u dT utmpT d

u d d

Z d u u mp

d W tT d Δ

tT p u Za

S T u

n u Δ ut d

3 u n S

-

t u t Z d

p p u d

S t

p a d

pT d pT

u e p m d

u Zu c a

d m t u

T d u a pT d

t mpT d u d

a pS Z d a

u

p d

p u tT d — u

t u

mpT d

u

d u u

d c

d u d Z

T d

a p d

u d c dv

d

Z d ctT

tT

lt u T uS

pTtT mp

pT mp

d pT d

m t d

uWT T d d

u T S d

pTtTt nTp

tT e d t d

tT d u

Tp m t d

p p d

t a

d t t

n a u d S

t pT u Z u

T p d u mp pT

d T S mp

u W Td

Antoine A Antoine B= Z Antoine C=

Antoine A o ‐ T S

d Antoine 1mmHg S

Z T1mmHg d

log(Pressure)=log(1)=0=Antoine A – Antoine B /(T1mmHg +

Antoine C)

t Antoine A Antoine B /(T1mmHg + Antoine C) t

d

T1mmHg ut u d

Antoine B Antoine C a d u

Δ u d — u ‐ d u

t dat

Z d d

p uS d

— u ‐ d u p

1mmHg u d T1mmHg

Antoine Z — u

d u T S d u

u Z d

u t d d u

(T1mmHg, 1mmHg) u d

u mp a p a

d S u

aeu T d

a Antoine

Antoine ut

T d u Antoine C d

R Z d

u mp Cox

u mp ut T d

d

p a pZ

T S Cox un

Tp HP

https://www.pirika.com/JP/ChemEng/Cox-VP.html

pT d S pT

Z T T d

Antoine

Antoine Δ T

— a d — t

t uS d t u a

pT 2 3uW

u 8

8 8 - 8 .

3 u

mmHg

-2 �

-2 �

-2 �

T o-,m-,p- T d o- Antoine

Z t d u T S n

t uS u a

Antoine t

t T T d u

t d S

d T u S HP T

d Antoine

T utmpT uΔ

t T u Z S

S u S Antoine d

Web HP u TpS mp pT

Z T T d

t Antoine d u n

t p t tT S d c Antoine Smp

S d

log (P) = A – B /(T+C) P: mmHg, T: [ ]

pT d log t Ln P

mmHg t KPa T t Kelvin t

pT e p ut

d ut d

mpT mmHg mpTtT T d

aT 1800 a

p - pT t t

Z AI mpd u

S

t

t u d p

d t

t t d

unTp p t

20 25 p u a

pT d p 20 72.74(mN/m)

n- 20 20.86(mN/m) a p

T d — n-

T T T d

u u mp 20 t

tT T — n- u mp20

Z T S T p T

l T u ZtT

t d lt u

T pT T

S d n T p u

u tm T u

S m u tm Ru d t

d t T p t

S t mpT TR

pZ tT

u a t (Tc)

u o un ut d 7 20

> =

u Z t d u

utmpT d m

c t T tT

2 t

d u u a K L

u mp a M d

u mp Z a pT d c

t m T T S

d T ud

mpT d lt u

m 87.0 J/(mol K) t d

tΔ S T d

7. -

Antoine B / (Tref[ ] +

Antoine C)u p p 8

4 p T u e

u d c

T c T

c cut T

pT d 4 ut

u pTZ d c

T ut

u p u d

8. -

u p

u mp dT

T d S T

u pT d mp un

u T

u p d

u c

S c u p

d d u t

S d

Zat t d

u mp d

d

T — u T

u mp Z a d t u

T Zu

R u d

t t

Z t a d

a u mp

u T d

d u T ISS Z

R pT T

t a u u

S

u p c

pT a t d 9

t u p u t

Antoine B/(Tref[ ]+Antoine C)

u p p 10 d

Z Tu u d n

c S cut

cut T d u d

u mp T S t

c — u t d

T u mp Z t d

u mp

3 t 2 t t

Z — u d t d

9. -

10. -

d t

d unTp u p

p

p pT d t

p tT T S d t

u m u u pZp

d u d TT d

d tT m u

T c d

Z gpT pTp

u p d d

t t—

t d d p m

T u

a u t d m

d u mp e t u

a d u

d u mp

d d Z d

t

t u a p

d u m

ut d t

a t d dt l t Z

t d Z t T T

- tmp

d t S tm

p t t t

Z t d

t u 1mol ut

22.4 utmp u

t d u p tT

0 1 p 18ml d c0

1 t 22.4 ut d

u p a

e u Z un d

Tp p d u

m d

Z d p cp

u u u mpT tT

tT ut d

d ‐ t

d

11.

u p 11

t un pT W T

T d p

u Z

c ut d

d

c d u /56 8 7 1A978

T n S

T p d

T t un u a t

d p ut d

/3 ut u t tT

d /56 8 7 1A978 u

T Δ Z

12.

ud p

u tmp 12

unTp p

p pT

u d

pT

pT p pT T

t p

S T S d pT

0

d m Zu

t d p u T

a d T

t Z d ut

d u d u pZp

tmp mpTZ d W 2000 p

d pT d p

u p mpT T S

T

uS R d T d

T

t T d T u

t t d t

a t d mpT

pT d d un

p Z t t mp p

T tmp ut

u a ut d

T d u u Z ut

S n tT

Ru u

mp t t p a pT

Z d

lt u 800m T d

a 3000 d

Z d u m T

u Z mpT Z Z

Za Z d t Z mpT

mp pT

u T t Smp

u mpT d u p

d u o t TZ d

T Zu t T

p d d

T dv u Zu R

mp t T u d p

(RER)

mp T T d

tmpZpT d

d

1500 l95

m mpT d uS

d t u

S a pT d t

50 20

10 10

5 Z u T d

u Zu t u a

pT TpTZ d

u t

u T T u T

(RER: Relative

Evaporation Rate) a pT d

S 25 uW

d

a Zu c pT

u d

d u c

u d t p

t p

Z S d

TW u p m

pcm pT d u u d ut

d p c tT d mpT

u d t d

T

u T d a p

tT ud d d

u t

mp T d T u u

c m a a

u

pT d i c p T T

d

ut

a u d lt u u

n n m T

tT u u a d

t t m u mpT

d

u d u d

t pWZ

S u c 25 d

u π d 25

u d d d

d

Z tT u mp

d da

d

u d S

Zu Zu

d

t ut

(RER) t u

S 109 unTp p e d u

Tn T dTR u

S p 13 u d u

p Δ T d t

13 log RER

m T 760mmHg

ct d 25 u

mp t d p 25

u mp ut RER d

‐ S d

Antoine 25

RERu p p d 14

14 log RER 25 uW

u T d T uRER

T pT S d T

u T mp a pT

T (J/g)u p p

d

15. log RER 25 uW (J/g)

(J/g)u T

d 15 m T

d t J/g

d 16 u d u

J/mol T S d

16. log RER 25 uW (J/mol)

Z aT

pT t ut d

Antoine Antoine B KJ/mol

S mp RER T

S T tWae RER

T S m d Antoine

mpT uW d

25 uW u 25

u T

t t RER u p

d 17 t

u t a u T S

d

17. log RER 25 uW

J/g K mp

18 u d u WW 2 Tut

u tT tmp T d

18. log RER 25 uW

u a pT T

Antoine u

pT 14 d

u t u T

u T T u T S d

c u d u t

T d

p 150mW/mK t S

t

u ut TpT

t d

19. log RER 25 uW

14 d Z t

tmp T

T p Z T d 25 T

d Smp

T T d RER u p Antoine

B/(25[ ]+Antoine C) p

20. log RER 25

u d u — uZ Tt d 25

14 log Sm

T ut d

25 pTp

tT T1mmHg mmHg T

t c S pT d

uW T T S d

pZp mZ Z S

u t T

d p nZ

T u p Tp

mp

n p

Zu n d n

tT T d u

‐ T T1mmHg mmHg

pT d (Tc)

(Pc) l mp tT

tT ut d p

a pZ 25

pT d u p

p

21. log RER

a u T1mmHg mmHg Tc

Pc u p c uRER Z

d 21

22.

p 22 unTp — uZ T

t S Z d

l mp S

t T1mmHg mmHg T

t Tc Pc T mpT

d

pZ

m d 18

28 aT u 100 d

m 109 d Δ

c d 2444J/g

t p ut d 25

607mW/mK 3 T ut d

75.358 J/mol Kt a ut d

aT 4.187 J/g K T u

t d u 0.89mPa s

d t t u pZ

a n pZ

t ut d

S u

t u ut d

t p

m

d T t

d

a tT

t tmp a d Antoine

— d S

d u d J/g K u

t tm

p T d

d tT

cp d tT ut

d d ut d u100

Sm u W

ut

lt u T1mmHg mmHg Tc Pc

mp RER=0.4 u u d T

T d u d

— u ut d

u p Z d

u

u p a u tm

d u Z p

T t

p T1mmHg mmHg Tc Pc

l ut

p