Aeration and Agitation 2
Short Description
problems with solutions...
Description
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM http://www.chem.mtu.edu/~drshonna/cm4710f07/lectures/chapter10.pdf A 10,000 liter (of liqi!" #iore$%tor %o&t$i&' )*L of )ro+i&) %ell', O- . -0 //ol O - * () %ell'r",DT . - /, Di . 1 /, (2 3 #l$!e tr#i&e $)it$tor $)it$tor"" 4 5 #l$!e' 6or 1 liqi! liqi! 7ol/e 8er /i&te $er$tio& r$te ($ir", %$& te OTR(o4)e& tr$&'fer r$te" . OR(o4)e& 8t$e r$te" for N . 100 r8/<
GI=EN: =L.10,000L O- . -0 //ol O- * () %ell'r" DT . - / Di . 1 / (2 3 #l$!e tr#i&e $)it$tor" 4 5 #l$!e' N . 100 r8/
RE>D: I' OTR . OR<
?OL>N: Re . Re&ol!@' N/#er. L NDi- * L L. 1000 )*/5 L .1035 N'*/Re . (1000 )*/5"(100*20r8'"(1/"-(1N*)/*'-" * 1035 N'*/Re . 1241032 N8 . (fro/ Bl$&% $&! Cl$r P/o Correl$tio&" P/o . (L N5Di" for 1 i/8eller P/o . (1000 )*/5" (100*20r8'"5(1/" P/o . 1F-410)/-'-*' (+$tt'" 4 5(i/8eller'" P/o . 2-410 +$tt' . P P/: NA ($er$tio& &o" . $ * NDi5 NA . (10,000L8/"(1035/5*L" * (100/i&31"(1/"5
NA . 010 P/*P/o . 0-(fro/ Bl$&% $&! Cl$r NA Correl$tio&" P/ . (0-"(2-410 $tt'" P/ . -55410 $tt' . 515P L$ (//ol O- * ( r$t/" . 020(P/*=L(P*105 liter'""0 (='"0 (N,r8/"0 P/*=L .515P*(10"(105liter'" . 515P*105liter'
π
5
=' .10 L8/(10 %/5*L"*
4
(-/"-(10%/*/"- . 51F5 %/*/i& L$ . 020(515"0 (51F5"0 (-00"0 L$ . 129 (//ol O- * (r $t/"
OR . qO- . () %ell'* L"(-0 //ol O -*) %ell'r" OUR = 100 mmol O 2/L.hr
OTR . L$(PO- 3 P" P for CL . 1 /) O-*liter . HO- CL . (0-1 $t/*(F/) O-*liter""(1 /) O-*liter" .00-25 $t/ OTR . 129 //ole' O-*literr$t/ (0-1 00-25" $t/ OTR = 31.05 mmol O 2/liter.hr
?i&%e OR J OTR, +e /'t /o!if te #iore$%tor o8er$tio& i& or!er to #ri&) te / i&to #$l$&%e K i&%re$'e N K 'e 8re O- r$ter t$& $ir
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM Biochemical Engineering, Second Edition ! "ia, S. et.al.
Di/e&'io&' of $ fer/e&ter eqi88e! +it t+o 'et' of 't$&!$r! fl$t3#l$!e tr#i&e' $&! for #$ffle 8l$te' $re: 6er/e&ter !i$/eter, Dt.5 / I/8eller !i$/eter, Di.1 /B$ffle 8l$te +i!t, #.05 / Liqi! !e8t, HL. / Te fer/e&ter i' 'e! for $ '8e%ifi% fer/e&t$tio& Te 7i'%o'it, , $&! te !e&'it, , of te #rot $re: . 1,-00 )*/5, . 00- )*/ 'e% Rot$tio& '8ee! of i/8eller' $&! $er$tio& r$te $re N.20 r8/ $&! 0 77/, re'8e%ti7el Calculate: $Po+er reqire/e&t', P, for &)$''e! ''te/, # Po+er reqire/e&t', P) , +e& $er$te!, %=ol/etri% %oeffi%ie&t, 7 , of o4)e& tr$&'fer, $&! ! Hol!38, H, of ###le' Solution $D t*Di . 5*1 . -0 HL*Di . *1 .555 N . 10 r8' 2 n Di ρ 1 × 1.52 × 1.2 × 103 N ℜ= = =1.35 × 105 −2 μ 2 × 10
6ro/ 6i) 2, N 8 . 2 3
5
ρ N Di N P 1.2 × 103 × 13 × 1.55 × 6 P= = 9.81 gc 4
¿ 5.57 × 10 kg m / sec ¿ 73.3 Hp ?i&%e te )eo/etri%$l r$tio', (Dt*Di" $&! (HL*Di", of ti' 8ro#le/ !e7i$te fro/ Dt*Di $&! HL*Di i& 6i) 2, $ %orre%tio& f$%tor, f c, +i% i' $88ro4i/$tel e48re''e! $' 'o+& #e lo+ +ill #e %$l%l$te!
( )( ) √ ( )( ) D L Di
∗
H L
∗¿
D L
D L H L D i D L
=
2.0 × 3.33 3.0 × 3.0
=0.86
c =¿ √ ¿ f ¿ Te&, P∗¿ P f c =73.3 × 0.86 =63 Hp If 8o+er reqire/e&t', P, +it t+o 'et' of i/8eller' %$& #e e'ti/$te! # /lti8li&) te 7$le of P for o&e 'et of i/8eller' # - (%f 2--1", te tot$l 8o+er reqire/e&t, P +ill #e: P∗¿= P∗× 2=63 × 2=126 Hp P.1-2 H8
# Te $er$tio& &/#er, N$, i' %$l%l$te! $' follo+': π 1 2 ) 0.4 × ( ) × 3 × 5 × ( F 4 60 N a= = 2 3 n Di 1 × 1.5
¿ 6.95 × 10−
2
A''/i&) t$t %r7e A i& 6i) 22 %$& #e 'e!, P)*P . 02, P) . P 02 . 1-2 02 . F- H8 P).F- H8
% 6 . 0 (*" 5- . 11 /5*/i& 14.1 × 60 v s= =119.7 m / hr π 2 ( ) ×3 4
6ro/ Eq (25"
K v = 0.0635 × {
0.95
82
0.07
( π ) × 3 × 5
} × 119.7
2
4
. 5 ) /ole*/5 r $t/ ?88o'i&) t$t te %oeffi%ie&t, 0025 #e $l7e! i& te %$'e of $ fl$t3#l$!e tr#i&e (cf ?e%tio& , C$8ter ",
7 . 1- ) /ole*/5 r $t/ HL*Dt . *5 . 12 Te %orre%tio& f$%tor, f c, i' $''/e! $' follo+': (%f ?e%tio& 25-" f c . 15 Te&, te 7ol/etri% %oeffi%ie&t, 7, of o4)e& tr$&'fer i': 7 . 7 f c . 1- 15 . -- ) /ole*/5 r $t/ 7 . -- ) /ole*/ 5 r $t/
It /'t #e re/e/#ere! t$t te $#o7e 7$le of 7ol/etri% %oeffi%ie&t i' /$4i// i& ter/' of o4)e& tr$&'fer, #e%$'e Eq (25" #$'e! o& te 'lfite3o4i!$tio& e48eri/e&t i' $88lie! i& te %$l%l$tio& ! 6i) 2 i' 'e! to %$l%l$te te ol!38, H 6ro/ 6i) 2, 0.4 0.4 P 126 0.5 ( ) v s ={ } × 119.70.5 V π ( ) × 32 × 5 4
6ro/ $& e4tr$8ol$tio& of te 'oli! li&e i& 6i) 2, H . -1
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM Biochemical Engineering, Shigeo #atoh and $umita%e &oshida I& $& $er$te! 'tirre! t$&, $ir i' ###le! i&to !e)$''e! +$ter Te o4)e& %o&%e&tr$tio& i& +$ter +$' %o&ti&o'l /e$'re! 'i&) $& o4)e& ele%tro!e, '% t$t te !$t$ i& T$#le 10 +ere o#t$i&e! E7$l$te te o7er$ll 7ol/etri% /$'' tr$&'fer %oeffi%ie&t of o4)e& Lɑ (i& &it of 8er or" Te eqili#ri/ %o&%e&tr$tio& of o4)e& i& eqili#ri/ +it $ir &!er $t/o'8eri% 8re''re i' F0 /)*L; te !el$ i& re'8o&'e of te o4)e& ele%tro!e /$ #e &e)le%te! Table 1.0 O4)e& %o&%e&tr$tio& i& +$ter Time (! 0 -0 0 20 F0 100 1-0
O2 concentration (m"/L!
0 -F 25 F 2210 7.40
Gi7e&: T$#le 10 CL . F0 /)*L Reqire!: # Lɑ ?oltio&: 6ro/ te o4)e& #$l$&%e, te follo+i&) eq$tio& i' o#t$i&e!: !CL*!t . Lɑ (CL3 CL" 8o& i&te)r$tio& +it te i&iti$l %o&!itio& CL . 0 $t t . 0 ,
l& CL* (CL3 CL"Q . Lɑ (t" ?#'titti&) 7$le' fro/ te t$#le; fro/ t . 0 to t . 1-0 # Lɑ = 0.021$/
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM Biochemical Engineering, Shigeo #atoh and $umita%e &oshida C$l%l$te te 8o+er reqire/e&t', +it $&! +itot $er$tio&, of $ 1 /3!i$/eter 'tirre! t$&, %o&t$i&i&) +$ter 1 / !ee8, eqi88e! +it $ 'i4 #l$!e R'to& Tr#i&e t$t i' 0 / i& !i$/eter d, +it #l$!e' 0- d lo&) $/! 0- d +i!e, o8er$ti&) $t $ rot$tio&$l '8ee! of 1F0 r8/ Air i' '88lie! fro/ te t$& #otto/ $t $ r$te of 02 /5*/i& O8er$tio& i' $t roo/ te/8er$tre =$le' of +$ter 7i'%o'it . 0001 )*/' $&! +$ter !e&'it . 1000 )*/ 5; e&%e * . S . 10 32 / -*' %$& #e 'e! Gi7e&: Dt$& . 1 /
. 0001 )*/'
HLiqi! . 1 /
. 1000 )*/5
N . 1F0 r8/
* . S . 1032 /-*'
. 02 /5*/i& Reqire!: Po+er reqire/e&t +itot $er$tio&, %mo; Po+er reqire/e&t +it $er$tio&, %m ?oltio&: Te Po+er reqire/e&t +itot $er$tio& %$& #e o#t$i&e! 'i&) 6i)re 10
&i"ure 1.0 Correl$tio& #et+ee& Re&ol!' &/#er (Re" $&! Po+er &/#er (N8"
(Re" . (d ' N"*S . (0- 4 5"* 1032 . 4 10 Ti' i' i& te tr#le&t re)i/e Te& fro/ 6i)re 10: N8 . 2 P/o . 2 N5d .2(1000"55(0" . 020 )/-*'5 %mo = 50'0
lo) (P/*P/o" . 319- (1*5"5F(0- 4 5*1032"011(0 4 5-*9F"192*5(001*5 4 05" . 30119 P/*P/o . 020 He&%e, P/ . 020 4 020 %m = 3)50
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM Biochemical Engineering, Shigeo #atoh and $umita%e &oshida A 'tirre!3t$& re$%tor eqi88e! +it $ 't$&!$r! R'to& tr#i&e of te follo+i&) !i/e&'io&' %o&t$i&' $ liqi! +it !e&'it . 1000 )*%/5 $&! 7i'%o'it . 0015 )*%/' Te t$& !i$/eter D . - /, liqi! !e8t HL . - /, te i/8eller !i$/eter d . 0F /, $&! liqi! 7ol/e . 10F /5 E'ti/$te te 'tirre! 8o+er reqire! $&! te /i4i&) ti/e, +e& te rot$tio&$l 'tirrer '8ee! N i' 90 r8/, t$t i' 1*' Gi7e&: . 1000 )*%/5
. 0015 )*%/'
D . - /
HL . - /
d . 0F /
liqi! 7ol/e . 10F /5
N . 90 r8/ Reqire!: %m $&! tm ?oltio&: Te Re&ol!' &/#er: Re . Nd ' * . (1 4 F0- 4 1"*0015 . 5F 4 10
&i"ure 1.0 Correl$tio& #et+ee& Re&ol!' &/#er (Re" $&! Po+er &/#er (N8"
6ro/ 6i)re 10, N8 . 2 Te 8o+er reqire! P/ . (2 4 15 4 0F 4 1000" ) /-*'5 %m = ''50 or '.'5 #
&i"ure 1.1 Correl$tio&' for /i4i&) ti/e' ('i&) $ 't$&!$r! R'to& tr#i&e"
6ro/ fi)re 11, 7$le' of N,t/ for te $#o7e Re&ol!' &/#er 'ol! #e $#ot 50 Te&, t/ . 50*1 tm = 20 econ*
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM A fer/e&ter of !i$/eter 52/ $&! liqi! ei)t of 21 / i' 'e! for 8ro!%tio& of 'til$)i% $%i! # (stilago)eae Te 8re''re $t te to8 of te fer/e&ter i' 1 $t/ Te 7e''el i' 'tirre! 'i&) !$l R'to& tr#i&e' $&! te fer/e&t$tio& te/8er$tre i' -9C Te DO te&'io& i' /e$'re! 'i&) t+o ele%tro!e': o&e i' lo%$te! &e$r te to8 of te t$&, te oter i' lo%$te! &e$r te #otto/ Bot ele%tro!e' $re %$li#r$te! i& 'it i& 'terile %ltre /e!i/ Te DO re$!i&) $t te to8 of te fer/e&ter i' 0 $ir '$tr$tio&; te re$!i&) $t te #otto/ i' 2 $ir '$tr$tio& Te fer/e&ter i' '8$r)e! +it $ir $t -0C $t flo+ r$te of 50 / 5 /i&31 /e$'re! $t $t/o'8eri% 8re''re Off3)$' le$7i&) te 7e''el $t $ r$te of -0 /5 /i&31 %o&t$i&' 1- o4)e& Te 'ol#ilit of o4)e& i& te fer/e&t$tio& #rot i' &ot 'i)&ifi%$&tl !iffere&t fro/ t$t i& +$ter Te !e&'it of te %ltre #rot i' 100 )*/5 $ $t i' te o4)e& tr$&'fer r$te< # E'ti/$te te 8re''re $t te #otto/ of te t$& % Te )$' 8$'e i& l$r)e fer/e&ter' i$ $''/e! to e4i#it 8l) flo+ &!er te'e %o&!itio&', &o )$' /i4i&) o%%r' 'o t$t te )$' 8$'e %o/8o'itio& $t te #otto/ of te t$& i' eq$l to t$t i& te i&let )$' 'tre$/, +ile te )$' %o/8o'itio& $t te to8 of te t$& i' eq$l to t$t i& te otlet )$' 'tre$/ 6or te )$' 8$'e i& 8l) flo+, e'ti/$te te o4)e& 'ol#ilit $t te to8 $&! #otto/ of te t$& ! $t i' te 7$le of L$< e If te %ell %o&%e&tr$tio& i' 12 )*L, +$t i' te '8e%ifi% o4)e& !e/$&!<
f I&!'tri$l fer/e&t$tio& 7e''el' $re r$te! for o8er$tio& $t ele7$te! 8re''re' 'o te %$& +it't$&! 'te$/ 'teriliU$tio& A%%or!i&)l, te fer/e&ter 'e! for 'til$)i% $%i! 8ro!%tio& %$& #e o8er$te! '$fel $t $ /$4i// 8re''re of - $t/ $#' $''/i&) t$t re'8ir$tio& # (. )eae
$&! te 7$le of L$ $re rel$ti7el i&'e&'iti7e to 8re''re, +$t /$4i// %ell
%o&%e&tr$tio& %$& #e '88orte! # o4)e& tr$&'fer i& te fer/e&ter $fter 8re''re i' r$i'e!< +i,en: DT . 52/ HL. 21 / i&.50 /5 /i&31 ot.-0 /5 /i&31 V . 1000 )*/5 CO-,i& . 0 CO-,ot . 2
Re-uire*: $ OTR # P #otto/ % CL #otto/, CLto8 ! L$ e ?8e%ifi% O- !e/$&! f CL$t P/$4 . - $t/ $#'
Solution:
$ OTR .
π =.
4
qA V . i& CO-,i& 3 ot CO-,ot π
DT- HL .
4
(5 2/" (21 /" . 2- 090 /5
Q ∈ P ( 0.21 ) Q!" P ( #$% ) qA 1 [ − ] V . RV Tin T!"
qA V .
1
(
)(
a"m 0.08205 L& & K m'
60.0904 m 3
)
[
( ) 30 m 3
min
( 1 a"m ) (0.21 )
( 20 + 273 )
( −
20.5
m3 min
)(
)(
1.4 a"m 0.172
(29 + 273 )
qA m' =1.0458 ( 10−3 V L)min # PT . 1 $t/ W PL 5
-
PL . ) . (1000 )*/ " (9F1 /*' " (21/"
[
1 a"m 101325 Pa
]
. 0902 $t/
)
]
PT . 1 $t/ W 0902 $t/ %T = 1.$$0' atm % I&let $t -0C X 1 $t/
[ ] [ ] P02 * L ¿
[
=
in'e"
P02 * L¿
1 a"m 1.38 m' / L
+""m
][ =
1 a"m ( .21)
* L¿
]
* L¿= 0.2898 m' / L Otlet $t -9C X 1 $t/
[
1 a"m 1.38 m'
/ L
][ =
1 a"m
( .21)
* L¿
]
* L¿= 0.2841 m' / L
! L$ .
qA V * L¿ −* L −3 1.0458 ( 10
L$ .
( 0.15 )
(
m' L)min
0.2841
(
1000 mm' 1 m'
)
)
mm' −0 L
# La = 2.50 /min
e if =.12 )*L , M O- . 5- )*/ol
.
( ) =¿
m' 32 g L) min m' 16 g / L
−3 1.0458 ( 10
-0912 4 1035 */i&
P, = . RT
( 1 a"m )
(
0.08205
(
32
L ) a"m m')K
g m'
)(
)(
+
kg 1000 g
29 273
(
) K
) 3
1m
1000 L
)
. 1-91 )*/5
?8 O- !e/$&!. (-0912 4 1035*/i&" (1-91 )*/5" S. O2 *eman* = 2.011 10 3 #"/m3min f P/$4 . - $t/ $#' 2.7 a"m ( 0.172 ) = * L¿
[
][
1 a"m 1.18
mm' L
]
* L¿= 0.5480 mm' / L
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM C$l%l$te te /$4i// 8o''i#le r$te of o4)e& 8t$e $t 5C of /i%roor)$&i'/' $7i&) $ !i$/eter of -*5 / ''8e&!e! i& $& $)it$te! $qeo' 'oltio& It i' $''/e! t$t te 'rro&!i&) liqi! i' '$tr$te! +it 0 - fro/ $ir $t 1 $t/ 8re''re It +ill #e $''/e! t$t te /i%roor)$&i'/
%$& tiliUe te o4)e& /% f$'ter t$t it %$& !iff'e it Te /i%roor)$&i'/ $' $ !e&'it 7er %lo'e to t$t of +$ter +i,en: T . 5 C D 8 . -*5 / PO- . 1 $t/ . 9999999 )*/5 Re-uire*: M$4i// O- 8t$e Solution:
A!!itio&$l i&fo: CO- 'rf$%e . --2 4103 /ol*/5 Y '$tr$tio& DAB Y PO-, i&H-0 . 5- 4 10 39 /-*' Co&7e%ti7e M$'' Tr$&'fer o7er $ '8eri%$l 'rf$%e hm D p D A-
hm D p D A-
hm =
=2+ 0.43 ( .T A- / * )
0.25
= 2+ 0
2 D A-
D P
=
(
−9 2 2 3.25 ( 10 m
2 3
/s)
−6 ( 10 m
−3
. 929 ( 10 m / s
6l4 O- : &O- ./ (CO-; Z [ CO- 'rf$%e" −3
. (929 ( 10 m / s ¿ (--2 4103 /ol*/5 [ 0" nO2 = 2.203 10' #mol/ m2
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM A -003L 'tirre! fer/e&ter %o&t$i&' $ #$t% %ltre of Bacillus sutilis #$%teri$ $t -FC Air $t -0C i' 8/8e! i&to te 7e''el $t $ r$te of 1 77/ Te $7er$)e 8re''re i& te fer/e&ter i' 1 $t/ Te 7ol/etri% flo+ r$te of off3)$' fro/ te fer/e&ter i' /e$'re! $' 1F9 L*/i& Te e4it )$'
'tre$/ i' $&$lUe! for o4)e& $&! i' fo&! to %o&t$i& -01 O- Te !i''ol7e! o4)e& %o&%e&tr$tio& i& te #rot i' /e$'re! 'i&) $& o4)e& ele%tro!e $' - '$tr$tio& Te 'ol#ilit of o4)e& i& te fer/e&t$tio& #rot $t -FC $&! 1 $t/ $ir 8re''re i' F410 35 )*/5 $ C$l%l$te te O4)e& Tr$&'fer R$te # Deter/i&e te L$ for te ''te/ +i,en: =/e!.-00L T/e!.-FC T$ir . -0C $ir . 1 77/ P.1 $t/ )$' . 1F9 L*/i& O- ot. -01 O?ol#ilit of O- Y 1 $t/, -FC . F41035 )*/5
Re-uire*: $ OTR # L$
Solution: 1
$ NA.
V L
[ F *
− F* !"'e" ]
in'e"
(
)
0.21 1 a"m
(
CO-,i&let .
0.08205
L ) a"m m')K
)
35 ( 20 + 273.15 ) K . F5- 410 /ol*L
0.201 a"m
(
CO-,otlet . 1
NA .
200 L
0.08205
[
L ) a"m m')K
( 200 L ) ( 1 vvm )
(
)
35 ( 28 + 273.15 ) K . F15F2 410 /ol*L
) (
− 3 m' −
8.7352 ( 10
L
189
L min
)(
8.1386 ( 10
4= 1.02 103 mol/L.min
N A # L$ .
L$ .
* L¿ −* L
(
−3 1.0442 ( 10
# La = 0.1) 1
m' L & min
)(
1000 L
−3 7.8 ( 10
m
3
)( )( 32 kg
km'
km' 1000 m'
−( 0.52 ) ( 7.8 ( 10− ) 3
)( ) 1 min 60 s
) ]
−3 m' L
CHAPTER 9: AGITATION AND AERATION ; ADDITIONAL PROBLEM
A #iore$%tor (DT . 5 /" %o&t$i&' 1000 L of liqi! (+$ter" $&! 1 ) * L of )ro+i&) %ell' +o'e re'8ir$tio& r$te i' - //ole O- * ) %ell'3r It i' #ei&) $)it$te! # tree tr#i&e3t8e i/8eller' $t - OC $&! 1 $t/ ?t$te +ere te re$%tio& i' #io%e/i%$ll li/ite! or /$'' tr$&'fer li/ite! for N . 20 r8/ $&! 1 77/ A''/e P/*P/o . 0; L . 1,000 ) * /5; L . 1 4 1035 )*/3' It $' $l'o #ee& !eter/i&e! e48eri/e&t$ll t$t te !i$/eter of $ir ###le' i' 4 103- / $&! it' 7elo%it i' 0 /*' Gi7e&: =R . 1000 L; C4 . 1)*L; qO- . - //ole O- * ) %ell'3r; DT . 5 /; P /*P/o . 0; L . 1,000 ) * /5; L . 1 4 1035 )*/3'; D ###le' . 4 103- /; =elo%it ###le' . 0 /*'
Reqire!: I' te re$%tio& #io%e/i%$ll li/ite! or /$'' tr$&'fer li/ite!<
?oltio&: 6ro/ \$/e' Lee C$8ter 2, Di. (1*5"DT . (1*5" (5/" . 1 / Re . Re&ol!@' N/#er . L N Di- * L Re . (1,000 )*/5"(20*20'"(1/"- * (1 4 1035 )*/3'" . 1 4 10 2 6ro/ fi)re 9F of \$/e' M Lee: Po+er &/#er . 2 . P /o * (L N5 Di" P/o . 2 (L N5 Di" . 2 (1,000 )*/5"(20*20'31"5(1/"Q . 2000 ($tt'" P/o (5 i/8eller'" . 5 (2000 $tt'" . 1F000 $tt' P/ . 0 (P/o" . (0"(1F000 $tt'" . 9000 $tt' 6ro/ eq$tio& 91 of \$/e' Lee: L$ ('31" . 00-2 (P/*=R "Q0 (7'"0 P/*=R . 9000 $tt'*1/5 . 9000 $tt'*/5 HT . (1/5"* (*"(5/"-Q . 011 / 7' . (2"(1000 L* /i&"(1/i&*20'"(1 /5*1000 L"( 011 /"Q * ( 4 10 3- /"(0 /*'"(1 /5"Q
. 022 /31 L$ . 00-2 9000Q0 (022"0. 022 '31 O4)e& Tr$&'fer R$te, OTR . L$(CL 3 CL" 6ro/ t$#le 91 of \$/e' Lee: CLY8re o4)e& . 1-2 //ole' O- * L CL . (0-1$t/"* (1$t/"*(1-2 //ole' O- * L"Q . 0122 //ole' O- * L OTR . (022 '31"(5200'*r" (012230" //ole' O- * L OTR . F059F //ole' O- * L3r O4)e& 8t$e R$te . C4 qO- . (1 ) %ell'*L" (- //ole' O-*) %ell'3r" OR . 5 //ole' O- * L3r
Terefore, 'i&%e OR ] OTR, te re$%tio& i' BIOCHEMICALL^ LIMITED_
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