PERHITUNGAN NERACA PANAS
PERHITUNGAN NERACA PANAS
1. Penentuan Kapasitas Panas (Cp)
1. Penentuan Kapasitas Panas (Cp)
Cp = A + Bt + Ct
Cp = A + Bt + Ct
22+ Dt
+ Dt
33+ E/t
+ E/t
22dengan t = T(
dengan t = T(
00K)/1000
K)/1000
K
Ko
om
mp
po
on
neen
n
A
A
B
B
C
C
D
D
E
E
Na
Na2
2O.3,2SOO.3,2SO2
22
2!
!..2
2"
"0
02
2
1
1#
#..3
3$
$"
"
%%&
&..$
$2
21
1!
!2
2
0
0..#
#"
"'
'2
20
02
2
%%0
0..'
'"
"$
$3
32
2"
"
SO
SO2
2%%1
1..'
'&
&2
2'
'3
3
$
$&
&..1
1&
&1
1#
#"
"
%%!
!!
!..$
$2
2#
#2
2
'
'0
0..2
2#
#$
$"
"
0
0..0
00
00
0$
$0
0"
"
2
2SOSO'
'1
11
1..3
30
02
2'
'
'
'&
&..'
'"
"0
03
3
%%3
3&
&..'
'0
03
3"
"
1
10
0..#
#'
'3
3
0
0..1
1!
!$
$#
#$
$#
#
Na
Na2
2SOSO'
''
'!
!..0
0"
"2
20
02
2
%%0
0..0
00
00
00
00
0!
!
0..0
0
00
00
00
00
03
3
%%3
3,,0
0"
"1
1$
$3
3&
&
1
10
0
%!%!0.0000001
0.0000001
*e. Natona -nttte o Standad and Tenoog (N-ST) Standad *eeene Data4ae 2001
*e. Natona -nttte o Standad and Tenoog (N-ST) Standad *eeene Data4ae 2001
Cp
Cp 2
2O = 1 5a/gO = 1 5a/g
1. Neraca panas di dissoler Asa! Sul"at
1. Neraca panas di dissoler Asa! Sul"at
T6an 7 mengtng
T6an 7 mengtng a5 Aam Sat 5ea da do8e
a5 Aam Sat 5ea da do8e
Tn = 30
Tn = 30
00C
C
T
To
o
t
t
=
=
9
9....::
=
= 303
303
00K
K
;da ma5 pada T = 303
;da ma5 pada T = 303
00K
K
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat Kapasitas 40.000 ton/tahun
Kapasitas 40.000 ton/tahun
B%1
B%1
D%02
D%02
Komponen
Kmo
2"# 303 dT Cp<
2SO'
31,'2"'
%0.1201'1
%3.!!&"$'
2O
(dm
5g)
$2,"101
%&
%31'.&&0&
ma
%31#.32$&
>ana pengenean Aam Sat "#? men6ad Aam Sat &? pada T=2"#
0K e4ea
%13#3.### 55a/5mo
< = m @
< = 31.'2"' 5mo (%13#3.### 55a/5mo)
< = %'3'"'.!! K5a
<ot = %'3'"'.!! K5a + %31#.32$& 55a = %'3#13.0"$ K5a
<ot =
) . 2"# ... ( ) .. 2"# ... ( dT Cp dT Cp 2 ' 2SO O%'3#13.0"$ K5a =
) . 2"# ... ( ) .. 2"# ... ( dT Cp dT Cp 2 ' 2SO Odengan ta ddapat5an Aam Sat &? 5ea da do8e = !11
oC.
Dngn5an aam at 5ea do8e = "&
0C (3$3 K), engga pe
dgna5an pendngn pada do8e.
Komponen
Kmo
3$3 2"# dT Cp<
2SO'
31,'2"'
1,!1$"
&3,"$2#"
2O
(dm
5g)
&#&$",3
!
3$#'$01
ma
3$#'$&'
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
>ana ang deap oe a = %'3#13.0"$ K5a + 3$#'$&' 55a
= 3$'0#'1 55a
ad 5ao e4ana5 3$'0#'1 55a 5e ng5ngan ang a5an deap oe pendngn
at a dengan Cp = 1 55a/5g dan
∆
T ang d5eenda5 adaa 1&
0C
T pendngn ma5 = 303
0K dan T pendngn 5ea = 31#
0K
Sengga maa pendngn ang d4t5an 7
=
31# 3031
3$'0#'1
dT
dT
Cp
Q
= 2'3.000 5g
#. Neraca Panas $i E%c&an'er Asa! Sul"at
T6an 7 mengtng a5 pendngn (odm 5at)
Sodm 5at n = 30
0C = 303
0K
Tn ="&
0C
Tot
=
#&
0C
= 3$#
0K
=
3&#
0K
Sodm 5at ot =9.:
;da pana ma5 pada T =3$#
0K
Komponen
Kmo
2"# 3$# dT Cp<
2SO
'31,'2"'
%1,!1$"
%&3,"$2
2O
(daam
5g)
&#&$",3
%!0
%'0""#&1
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
*%01
ma
%'0"""0',"$2
;da pana 5ea pada T = 3&#
0K
Komponen
Kmo
3&# 2"#dT
Cp
<
2SO
'31,'2"'
1,'$$
'$,102
2O
(daam
5g)
&#&$",3
$0
3&1'1&#
ma
3&1'20',102
< = %&#&!00,#$ 55a
ad, ea5 meepa pana e4ea &#&!00,#$ 55a 5e ng5ngan ang a5an deap
oe pendngn at odm 5at.
;da dngn ma5 pada T=303
0K
Komponen
Kmo
2"# 303 dT Cp<
Na
2O.3,2SO
22#,&!2
%0,13'
%3,#32
2O
(daam
5g)
11!0&,$
%&
%&#&2#
ma
%&#&31,#32
% &#&!00,#$ =%&#&31,#32
2"# ( . 2"# 2 2 , 3 . Na dT Cp dT Cp 2 2O SiO m O mdengan ta ddapat5an odm 5at 5ea da ooe = 3&3
0K
. Neraca Panas $i Reator
T6an 7 mengtng 5e4tan a pendngn
ate n T = 303 K
T n Na
2O.3,2SO
2=
3&3
K
Tot
=
3$3
K
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
Tn 2SO' = 3&# K
ate ot T = 31# K
>oe non otema non ada4at
<
pendngn+ <ea5tan
= <ea5 + <
pod5<ea5tan
= < 2SO' + < Na2O. 3,2 SO2
< 2SO' ma5 7
Komponen
5mo
2"# 3&# dt Cp<
2SO'
31,'2"'
%1,'$$#
%'$,102
2O
&#&$",3
%$
%3&1'1&#
ma
%3&1'20',1
< Na2O. 3,2 SO2 ma5 7
Komponen
5mo
2"# 3&3 dt Cp<
Na2O. 3,2 SO2
2#,&!2
%1,&3"
%'3,"!#
2O
(daam
5g)
11!0&,$
%&,&
%$''000
ma
%$''0'3,"!#
< ea5tan = %3&1'20',1 + (%$''0'3,"!#) = %'.1&#.2'#,0!# 55a
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
< pod5
Komponen
5mo
3$3 2"# dt Cp<
Na2O. 3,2 SO2
0,1!1'
1,#32
0,31'
2SO'
3,02#$
1,&"1
',#20
SO2
"0,##2
0,#'#
!!,0!!
Na2SO'
2#,'01
3,0#$
#!,$$3
2O
(daam
5g)
!0!#$,$
$&
'$0112"
'$012"#,"
<ea5 = % = %( pod5
ea5tan)
SO2
= %21!!00 55a/5mo
2O
= %$#31! 55a/5mo
Na2O.3,2 SO2
= %1"3"10 55a/5mo
2SO'
= %#!22&',# 55a/5mo
Na2SO'
= %32'1#2,$ 55a/5mo
= (2#,'01 %32'1#2,$) + (2#,'01 %$#31!) + (3,2 2#,'01
%21!!00)F % (2#,'01 %1"3"10) + (2#,'01 %#!22&',#)F
< =
= %$&2&00.'02 55a
<
pendngn= <ea5 + <
pod5+ <ea5tan
= %$&2&00.'02 + '$012"#," %'.1&#.2'#,0!#
= % 10"&!'3.2 55a
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
ad ea5 meepa 5ao e4ana5 10"&!'3.2 55a 5e ng5ngan ang a5an deap
oe pendngn at a dengan Cp = 1 55a/5g dan T ang d5eenda5 adaa
1&
0C
T pendngn ma5 = 303
0K, T pendngn 5ea = 30#
0K
Sengga maa pendngn ang d4t5an 7
m =
31# 3031dT
10"&!'3,2
dT
Cp
<
= !30'",&'$ 5g
*. Neraca Panas di seitar Rotar+ ,acuu! -ilter
T6an 7 mengtng tat 5ea te
ate n 303
0K
Tn = 3$$
0K
Ta5e
=
9.:
;tat ot = $0
0C
S ma5 pada T = 3$$
0K
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
Komponen
5mo
2"# 3$3 dT Cp<
SO
20,1!1
%1,#32
%0,31'
Na
2O.
3,2
SO2
3,02#
%1,&"1
%',#20
2SO
'"0,##2
%0,#'#
%!!,0!!
Na
2SO
'2#,'00
%3,0$0
%#$,"3'
2O
(daam
5g)
!0!#$,$
%$&
%'$0112"
ma
%'$012"#,1'&
<
n= <
ot<
n+ <
Gate n= <
tat ot tota+ <
a5eA ma5 pada T = 303
0K
<
Gate n= m
2"#303
dT Cp
= !1&$!,3& (%&) = %3&!#3$,!& 55a
;tat tota 5ea pada 333
0K = a # + a "
A #
Komponen
5mo
333 2"# dT Cp<
Na
2O.3,2SO
20,1!1
0,"$'
0,1$&
2SO
'3,02#
0,#'#
2,&!0
Na
2SO
'2$,$!3
1,$'#
'3,"$3
2O
(daam
5g)
$$'#1,&
3&
232$#&2,&
ma
232$#"",1"#
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
A "
Komponen
5mo
333 2"# dt Cp<
Na2SO'
1,!10
1,$'#
2,#1#
2O
(daam
5g)
"$3","!
3&
33!3"#,"&
ma
33!'01,!$#
<tat ot tota
= 232$#"",1"# + 33!'01,!$# = 2$$'300,"$$ 55a
<a5e = < n
+ <Gate n %
<tat ot tota
<a5e = %'$012"#,1'& %3&!#3$,!& % 2$$'300,"$$ = %!$23'3&,#$1 55a
%!$23'3&,#$1 55a =Hm
: 2"#Cp
SO2 dTI + Hm
: 2"#Cp
Na2SO' dTI + Hm
: 2"#Cp
2O dTI
Da ta ddapat5an 5ea = 32",2
0K = &$,2
0C
. Neraca Panas di Rotar+ $r+er
<ot
<5
<m
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
Kapasitas 40.000 ton/tahun
B%"
<(!)
<(11)
>etngan
J(! ) = 1#21,'" 5g a/&'$','#3 5g 4aan 5eng = 0,3333
J(11) = "1,0!' 5g a/&'$','#3 5g 4aan 5eng = 0,01$$$
J(10) = J(!) (11) = 0,31$$
>eamaan
7 < npt = < otpt
<(!) + <m = < 5 + <(11) + < ot
engtng <(!) 7
< (!) = (!)
(!) = SO2 + 2O + Na2SO'
SO2
= J Cp SO2 dT
=0,"""&
323 2"# 3 2 '0,2#$"T !!,$2#2T % $0,1&1#"T (%1,'&2'31 )dT 0,000$0"/T2
=0,312'' K5a/5g 4aan 5eng
Na2SO'
= J Cp Na2SO' dT
= 0,0000''
323 2"# 2 0,000003T 0,00000!T % ('!,0"202 )dT T 0.0000001/ % T 0 3,0"1$3&1 % %! 3 2= 0,000&2#$ K5a/5g 4aan 5eng
2O
= J Cp 2O dT
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
= 0,033333
3232"#
dT
1
= #,33 K5a/5g 4aan 5eng
(!) = #,$'$2
<(!) = (!) = &'$','#3 #,$'$2 = '!.2'!,'!$3 K5a
engtng <(11)
<(11) = (11)
(11) = SO
2+ Na
2SO
'+
2O
SO
2= J Cp SO
2dT
=0,"""&
333 2"# 3 2 '0,2#$"T !!,$2#2T % $0,1&1#"T (%1,'&2'31 )dT 0,000$0"/T2
=0,312'' K5a/5g 4aan 5eng
Na
2SO
'= J Cp Na
2SO
'dT
= 0,000''
333 2"# 2 0,000003T 0,00000!T % ('!,0"202 )dT T 0.0000001/ % T 0 3,0"1$3&1 % %! 3 2= 0,000&2 K5a/5g 4aan 5eng
2O
= J(!) Cp
2O dT
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
= 0,01$$$
3332"#
dT
1
= 0, K5a/5g 4aan 5eng
(11) = 0,#"$3 K5a/5g 4aan 5eng
<(11) = (11) = &'$','#3 0,#"$3 = '.# "!,#' K5a
engtng 5e4tan daa pemana
Ldaa pengeng ma ma = "0
0C = 1"'
0; dengan ? = 10?
Da pomet at dpeoe Mm = 0,0$&3
>eamaan ang dpa5a 7
m = (C
B+ C
AMm) (T
m T
0) + @o Mm
D mana C
B= 0,2'
C
A= 0,'&
engga
m = (0,2' + 0,'& 0,0'$) (1"'
0; 32
0;) + &"!,33 0,0$&3
m = #2,$&&' K5a/5g daa 5eng
Ldaa 5ea de
5 = (C
B+ C
AM5) (T
5 T
o) + @o M5
D mana C
B= 0,2'
C
A= 0,'&
engga
5 = (0,2' + 0,'& M5) (1$!
0; 32
0;) + &"!,33 M5
5 = 3$,3$! + &"!,33 M5
Neaa pana
(!) + m = (11) + 5 + <o
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
Opea De danang ada4at, ma5a < = 0, ma5a 7
(m 5) = (!) (11) F
( #2,$&& ( 3$,3$ + &"!,33 M5) = &'$','#3( #,$'$ % 0,#"$ )
'$,2" % &"!,33 M5 = '2.3'",!'
...( 1 )
Neaa 5omponen a
J(!) + Mm = J(11) + M5
( J! J11 ) = ( M5 Mm )
&'$','#3 ( 0,333 0,01$ ) = ( M5 0,0$& )
M5 0,0$& = 1.!32,2'
...( 2 )
Da peamaan 1 dan 2 dpeoe
= 1''.1#&,#"
M5 = 0,0!!
engtng <m
<m = m
<m = 11."1!.!'2,'1 55a
engtng <5
<5 = 5
<5 = 11.#!'.3'3," 55a
/. Neraca Panas di Air Heater
T6an 7 mengtng 5e4tan team pemana
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
<
d
<
pana
< team
< npt = < otpt
< d + < team = < pana
engtng < d
< d = d
d = (C
B+ C
AMd) (T
m T
0) + @o Md
D mana C
B=
0,2'
C
A= 0,'&
d = (0,2' + 0,'& 0,03#) (#$
0; 32
0;) + &"!,33 0,03#
d = 3$, 55a/5g
< d = 1''.1#&,#" 5g 3$, 55a/5g
< d = &.2!'.'$' 55a
engtng < pana
< pana = pana = m
< pana = 11."1!.!'2,'1 55a
< team = < pana < dngn
< team = 11."1!.!'2,'1 55a % &.2!'.'$' 55a
< team = $.$'3.2!#,3$ 55a
Se4aga pemana dgna5an atated team dengan 300
0; dengan pana aten
&&0,"'"& 55a/5g
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat
ad 5e4tan team =
$.$'3.2!#,&0&,&2$$55a/5g3$55a= 13.1'1,3 5g
Prarancangan Pabrik Precipitated Silica Proses Asidifkasi Larutan Alkali Silikat