section 6: f&r, ch. 8 (energy balances - nc state … · section 6: f&r, ch. 8 (energy...
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Section 6: F&R, Ch. 8 (Energy Balances – II)
6-1 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
inm
o u tm
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-2 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
ˆT h e p ro b lem is n o w to d eterm in e fo r th e g iven p ro cess . H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-3 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-4 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-5 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-6 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
ˆ ˆC a lcu la tin g Δ U a n d Δ H fo r P ro cess T y p es 1 a n d 2
ˆ 0
ˆ 0
ˆ ˆ
U
H
V P V
V ˆ 1 / V
ˆ ˆ ˆ( ). H U P V
ˆ .H T
ˆ H
(8 .3 - 1 0 a )
(8 .
3 - 1 0 b )
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-7 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
( ) ( ) ( )P m ix i p i
C CT y T
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-8 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
U U
(8 .3 - 6 )
U
V
U
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-9 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
E x a m p le
(a )
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-10 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
ˆW h at ab o u t vap o r liq u id tran sitio n (co n d en sa tio n )? _ _ _ _ _ _ _ _ _ _ _H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-11 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-12 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
ˆs
H
ˆs
H
ˆs
H
ˆs
H
ˆs
H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-13 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-14 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
sW
–
–
U
H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-15 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
–
–
–
–
ˆ 0H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-16 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
ˆo u t
H
ˆ (k J /m o l)H
ˆ p a th : a t re fe re n c e , = 0
ˆ p a th : T (v , 5 0 C , 1 6 3 .7 m m H g ) T (v , 5 0 C , 1 a tm ) T (v , 1 1 0 C , 1 a tm ) T ( l, 1 1 0 C , 1 a tm )
T ( l, 1 0 C , 1 a tm ) T ( l, 1 0 C , 2 a tm )
ˆ p a th : B ( l, 1 0
a
b
c
H
H
H
C , 2 a tm ) B ( l, 5 0 C , 2 a tm ) B ( l, 5 0 C , 1 6 3 .7 m m H g )
ˆ p a th : B ( l, 1 0 C , 2 a tm ) B (1 , 8 0 .1 C , 2 a tm ) B (1 , 8 0 .1 C , 1 a tm ) B (v , 8 0 .1 C , 1 a tm )
B (v , 5 0 C , 1 a tm ) B (v , 5 0 C ,
dH
1 6 3 .7 m m H g )
ˆ p a th : T (v , 5 0 C , 1 6 3 .7 m m H g ) T (v , 5 0 C , 1 a tm ) T (v , 1 1 0 C , 1 a tm ) T ( l, 1 1 0 C , 1 a tm )
T ( l, 5 0 C , 1 a tm ) T ( l, 5 0 C , 1 6 3 .7 m m H g )
ˆ p a th : a t re fe re n c e , = 0
e
f
H
H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-17 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-18 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
inn
o u tn ˆ
o u tH
n
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-19 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-20 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-21 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-22 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-23 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-24 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
H
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-25 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
b e a b le to d e r iv e
A (s , 1 a tm ) A (l, 1 a tm ),
A (l, 1 a tm ) A (v , 1 a tm ),
T T H H
T T H H
m m m
b b v
, ,
, ,
= n o rm a l m e ltin g p o in t , = h e a t o f fu s io n (m e ltin g ) a t (T a b le B .1 )
= n o rm a l b o ilin g p o in t, = h e a t o f v a p o riz a tio n a t (T a b le B .1 )
(B e a b le to d e r iv e fro m id e a l g a s E O S )
T H T
U H
T H T
U H R T
m m m
m m
b v b
v v b
Section 6: F&R, Ch. 8 (Energy Balances – II)
6-26 Notes with Gaps to accompany Felder, Rousseau, & Bullard, Elementary Principles of Chemical Processes.
Copyright ©John Wiley & Sons, Inc.
H U o r