t-xy diagram for ped

8/17/2019 T-xy Diagram for PED

http://slidepdf.com/reader/full/t-xy-diagram-for-ped 1/109

Txy Diagram for Binary Feed mixture of Acetone and Isopropanol at 101.3 kPa

ystem Pressure! 101.3 kPa ! "#$.%1&'%'#%

Antoine Coefficient for Acetone ()oefficients are o*tained fro

A! ".11"1'

B! 1&10.#$#

)! &&$.//'

Isopropanol Coefficient for Isopropanol

A! "."'0&1

B! 13#$.#1"

)! 1$".#&"

Boiling point of pure Acetone at System Pressure= #/.0$'0#0/'&Boiling point of pure Isopropanol at System Pressure= %&.&3"#%'%1'

Bubble Point Calculations:

1 1.00 0.00 #/.0$'0& "#$.%11% &3$."/3'1&1/ $.1/&0#-013

& 0.$$ 0.01 #/.&$#1 "/#.0'1' &'&.11$&$"/ 1.$$$03-013

3 0.$% 0.0& #/.'$"3 ""0.3&%$ &''.#0"%'0/# 1.0#'3#-01#

' 0.$" 0.03 #/."00/& ""#./"#& &'/.$&$#"3'% &.31$3#-013

# 0.$/ 0.0' #/.$0#0% "%1.0%1 &'$.3%#03/$$ %.10/0/-013

/ 0.$# 0.0# #".110/% "%/.#'"1 &#1.%"'"%0$% 1.//0$0-01&

" 0.$' 0.0/ #".31"'& "$&.0"'& &#'.3$$3/'&3 &."1&'#-01&% 0.$3 0.0" #".#&#3& "$".//33 &#/.$#$3#'/ 3.$00/0-01&

$ 0.$& 0.0% #"."3'3% %03.31# &#$.###3&$1# #.1//'3-01&

10 0.$1 0.0$ #".$''/ %0$.030& &/&.1%"%"'&1 /.'#/"#-01&

11 0.$0 0.10 #%.1##$$ %1'.%0$% &/'.%#"#%##& "."&'01-01&

1& 0.%$ 0.11 #%.3/%#" %&0./#'/ &/".#/#0/%&$ %.$&/&#-01&

13 0.%% 0.1& #%.#%&3& %&/.#/#' &"0.310$3"31 1.00&"&-011

1' 0.%" 0.13 #%."$"&" %3&.#'3& &"3.0$#%1"0/ 1.0$$#$-011

1# 0.%/ 0.1' #$.013'1 %3%.#%%" &"#.$&03'1"# 1.1%0"&-011

1/ 0.%# 0.1# #$.&30"/ %''."0&% &"%."%#1##'/ 1.&''10-011

1" 0.%' 0.1/ #$.''$31 %#0.%%/# &%1./$0$1&&1 1.&%%30-011

1% 0.%3 0.1" #$.//$0" %#".1'0/ &%'./3%&"/ 1.31&3%-011

1$ 0.%& 0.1% #$.%$00# %/3.'//1 &%"./&"$&0$# 1.31#$'-011&0 0.%1 0.1$ /0.11&&/ %/$.%/3$ &$0.//0#3133 1.&$$0"-011

&1 0.%0 0.&0 /0.33#/$ %"/.33'% &$3."3/%01/# 1.&/&'0-011

&& 0."$ 0.&1 /0.#/03/ %%&.%"$% &$/.%#"'3/" 1.&0"00-011

&3 0."% 0.&& /0."%/&" %%$.'$$$ 300.0&31#1/' 1.13''3-011

&' 0."" 0.&3 /1.013'& %$/.1$/1 303.&3'/"&03 1.0'//$-011

&# 0."/ 0.&' /1.&'1%& $0&.$/$& 30/.'$&"33$ $.'/&13-01&

&/ 0."# 0.&# /1.'"1'% $0$.%&0& 30$."$%0%3"" %.3#%0'-01&

&" 0."' 0.&/ /1."0&3$ $1/."#0& 313.1#1'"%"1 ".1%/#&-01&

(-*p

means uared -rror of

2acetone

2isopropanol

T*u**le

Pacetone

( PIsopropanol

( -*p



&% 0."3 0.&" /1.$3'#/ $&3."/01 31/.##3/%/3% #.$%&/#-01&

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30 0."1 0.&$ /&.'0&"& $3%.0&3# 3&3.#0"//3'" 3./31'%-01&

31 0."0 0.30 /&./3%" $'#.&"$1 3&".0/10&1&3 &.#//10-01&

3& 0./$ 0.31 /&.%"#$/ $#&./1%" 330.///3/%'& 1./3100-01&

33 0./% 0.3& /3.11'#1 $/0.0'3& 33'.3&'#&#"" %./$3'0-013

3' 0./" 0.33 /3.3#'3' $/".##3/ 33%.03/3&'/# 3.&3"#&-0133# 0.// 0.3' /3.#$#'/ $"#.1#11 3'1.%0&/0/$$ 3.#'/3$-01'

3/ 0./# 0.3# /3.%3"%/ $%&.%3/" 3'#./&'&&#&% '.3310&-01'

3" 0./' 0.3/ /'.0%1#" $$0./11' 3'$.#0&0'&#' 3.%&"0#-013

3% 0./3 0.3" /'.3&/#/ $$%.'"/& 3#3.'3/$3&&1 1.0%'#3-01&

3$ 0./& 0.3% /'.#"&%/ 100/.'3& 3#".'&$""%1" &.1"'0&-01&

'0 0./1 0.3$ /'.%&0'# 101'.'%1 3/1.'%1'"'#% 3.//$#0-01&

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'& 0.#$ 0.'1 /#.31$#' 1030.%#$ 3/$."/#0'/#1 ".$10$$-01&

'3 0.#% 0.'& /#.#"10' 103$.1$1 3"3.$$%"/10$ 1.0/'$&-011

'' 0.#" 0.'3 /#.%&3%# 10'"./1$ 3"%.&$#00'03 1.3""/1-011

'# 0.#/ 0.'' //.0""$/ 10#/.1'# 3%&./#'"1$'% 1."&#$/-011

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'% 0.#3 0.'" //.%'%13 10%&.3&1 3$/.1&'&%#1& &.$3'1'-011

'$ 0.#& 0.'% /".10"'" 10$1.&'$ '00."'"#&10# 3.3/%01-011

#0 0.#1 0.'$ /".3/%1 1100.&% '0#.'3$0$01% 3.%0&%/-011

#1 0.#0 0.#0 /"./300' 110$.'1# '10.1$$$$113 '.&&%'1-011

#& 0.'$ 0.#1 /".%$3&$ 111%./#/ '1#.031&30"" './33/'-011

#3 0.'% 0.#& /%.1#"%3 11&%.003 '1$.$33%&3$ #.00/$$-011

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$' 0.0" 0.$3 %0.0'0'3 1/1#.3## /$#.'0%&3&# 1.10#"'-010

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$% 0.03 0.$" %1.&$1'3 1/"'.$1% "31.#0&%'%&1 %.%$"3$-011

$$ 0.0& 0.$% %1./0/0$ 1/$0.1/# "'0.%1$"$&#/ #."%%0&-011

100 0.01 0.$$ %1.$&1'" 1"0#.### "#0.&##/"#'% &.#&11$-011

101 0.00 1.00 %&.&3"#' 1"&1.0%% "#$.%11&3&%/ &."13$/-01&

&.&%'/"-011 Aerage45a*6!

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Taking out the bubble and dew point temperature

1.00 #/.0$'0& #/.0$'0&

0.$$ #/.&$#1 #/."1#%'

0.$% #/.'$"3 #".31&03

0.$" #/."00/& #".%%'$3

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0.$# #".110/% #%.$/%/3

0.$' #".31"'& #$.'%&"1

0.$3 #".#&#3& #$.$%01'

0.$& #"."3'3% /0.'/&0$

0.$1 #".$''/ /0.$&$/3

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0.%$ #%.3/%#" /1.%&#130.%% #%.#%&3& /&.&#'"

0.%" #%."$"&" /&./"31

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0.%# #$.&30"/ /3.'"%%3

0.%' #$.''$31 /3.%/"&/

0.%3 #$.//$0" /'.&'/"&

0.%& #$.%$00# /'./1"/"

0.%1 /0.11&&/ /'.$%0#1

Aerage 7alue of -*p

!

8oot ean uare of Aerage 7alue of -*p

!

2acetone

T*u**le

Tde9



0.%0 /0.33#/$ /#.33#/3

0."$ /0.#/03/ /#./%33"

0."% /0."%/&" //.0&'0%

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T! "iagra

T e m p e r a t u r e $ % C &



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:):)

*u**le points

;acetone

;isopropanol

Tde9

Pacetone

( PIsopropanol

( -*p



&.$1%1"% 0."3 0.&" /"./3&0"/3" 110$.'%/ '10.&3"11"$ $.0&#"'-01&

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&."&3033 0.#& 0.'% "3.1&#&%$/$ 131#.&1# #&1.311&%"" 1.0/$01-010

&."13"$% 0.#1 0.'$ "3.3'$311"' 13&'.1$" #&/.3&1%&'% 1.1"$%'-010

&."0'#"1 0.#0 0.#0 "3.#"0/33'$ 1333.11% #31.31100"& 1.&%100-010

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&.//""#% 0.'/ 0.#' "'.'30&"'33 13/%.&1' ##1.0/&03/1 1.##001-010

&./#%#% 0.'# 0.## "'./3$0%$1$ 13"/.%'% ###.$#0&101 1.#""%3-010

&./'$'13 0.'' 0.#/ "'.%'##%3$/ 13%#.'&" #/0.%1$&'3# 1.#%$3"-010

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&.#%##$% 0.3" 0./3 "/.&30'"31/ 1'''.0#1 #$'.3$&/'3& 1.&$3'0-010

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&.#13#%% 0.&$ 0."1 ""./$"%1'3& 1#0%.&#% /31."#/$'& /.3/'3/-011

&.#0'//$ 0.&% 0."& "".%"3#1&$" 1#1/.0$3 /3/.3#"%'#& #./3/'"-011

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&.'1//"" 0.1% 0.%& "$.#'"1%$1% 1#$&.3&% /%1.#%#%30/ 1.1'%3/-011

&.'0%01 0.1" 0.%3 "$."0/%&#0' 1#$$."#3 /%/.03''&1" $.'$1/%-01&&.3$$3" 0.1/ 0.%' "$.%/#1#'3$ 1/0".1'3 /$0.'"01"/# ".%&3$3-01&

&.3$0"#" 0.1# 0.%# %0.0&&1$$%" 1/1'.'$$ /$'.%$3&'"1 /.''&33-01&

&.3%&1"1 0.1' 0.%/ %0.1""$%3#& 1/&1.%&& /$$.303"%&1 #.310'3-01&

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&.3/#0%# 0.1& 0.%% %0.'%#%#0/# 1/3/.3" "0%.0%"%&'/ 3.//1"&-01&

&.3#/#%# 0.11 0.%$ %0./3"$"#' 1/'3.#$/ "1&.'/1/13$ 3.0%#'%-01&

&.3'%11# 0.10 0.$0 %0."%%$&0%$ 1/#0."$1 "1/.%&3'31# &./'0"$-01&

&.33$/"# 0.0$ 0.$1 %0.$3%"0/'% 1/#".$#' "&1.1"3'10$ &.30/$1-01&

&.331&/# 0.0% 0.$& %1.0%"3#10& 1//#.0%" "&#.#11/%31 &.0//%$-01&

&.3&&%%" 0.0" 0.$3 %1.&3'%"&%$ 1/"&.1%$ "&$.%3%3"/ 1.$0"/1-01&

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&.30/&&/ 0.0# 0.$# %1.#&//1$$ 1/%/.30' "3%.'#"#&3" 1."$"3"-01&&.&$"$'' 0.0' 0.$/ %1./"0%"$/ 1/$3.31% "'&."#0&&1% 1.%3%3"-01&

&.&%$/$# 0.03 0.$" %1.%1'0%#"" 1"00.303 "'".031%&"# 1.$'3"#-01&

&.&%1'% 0.0& 0.$% %1.$#/&#'// 1"0".&#$ "#1.30&'#/' &.11"%1-01&

&.&"3&$% 0.01 0.$$ %&.0$"'0&1' 1"1'.1%" "##.#/&&&1$ &.3/"$$-01&

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&."0%/3" 3.&%1%/-010

1.%11#$-00#

Aerage 7alue of -*p

!

8oot ean uare of Aerage 7alue of -*p

!



# Temperature $%C& 's( )ole *raction of Acetone in Bina



0.30 0.'0 0.#0 0./0 0."0 0.%0 0.$0 1.00

T*u

e

le *raction of Acetone in Binary )i+ture



#/.0$'0# #/.0$'0#

#/.3##'$ #/.3##'$

#/./1/$& #/./1/$&

#/.%"%3/ #/.%"%3/#".13$"$ #".13$"$

#".'01&3 #".'01&3

#".//&// #".//&//

#".$&'1 #".$&'1

#%.1%##3 #%.1%##3

#%.''/$" #%.''/$"

#%."0%' #%."0%'

#%.$/$%' #%.$/$%'

#$.&31&" #$.&31&"

#$.'$&"1 #$.'$&"1

#$."#'1# #$."#'1#

/0.01##% /0.01##%/0.&""0& /0.&""0&

/0.#3%'# /0.#3%'#

/0."$$%$ /0."$$%$

/1.0/13& /1.0/13&

/1.3&&"/ /1.3&&"/

/1.#%'1$ /1.#%'1$

/1.%'#/3 /1.%'#/3

/&.10"0/ /&.10"0/

/&.3/%# /&.3/%#

/&./&$$3 /&./&$$3

/&.%$13" /&.%$13"/3.1#&% /3.1#&%

/3.'1'&' /3.'1'&'

/3./"#/% /3./"#/%

/3.$3"11 /3.$3"11

/'.1$%## /'.1$%##

/'.'#$$% /'.'#$$%

/'."&1'& /'."&1'&

/'.$%&%# /'.$%&%#

/#.&''&$ /#.&''&$

/#.#0#"& /#.#0#"&

/#."/"1/ /#."/"1/

//.0&%#$ //.0&%#$//.&$003 //.&$003

//.##1'/ //.##1'/

//.%1&$ //.%1&$

/".0"'33 /".0"'33

/".33#"" /".33#""

/".#$"&1 /".#$"&1

/".%#%/' /".%#%/'

/%.1&00% /%.1&00%



/%.3%1#1 /%.3%1#1

/%./'&$# /%./'&$#

/%.$0'3% /%.$0'3%

/$.1/#%& /$.1/#%&

/$.'&"&# /$.'&"&#

/$./%%/$ /$./%%/$

/$.$#01& /$.$#01&"0.&11#/ "0.&11#/

"0.'"&$$ "0.'"&$$

"0."3''3 "0."3''3

"0.$$#%" "0.$$#%"

"1.&#"3 "1.&#"3

"1.#1%"' "1.#1%"'

"1."%01" "1."%01"

"&.0'1/1 "&.0'1/1

"&.3030' "&.3030'

"&.#/''% "&.#/''%

"&.%&#$1 "&.%&#$1

"3.0%"3# "3.0%"3#"3.3'%"% "3.3'%"%

"3./10&& "3./10&&

"3.%"1/# "3.%"1/#

"'.1330$ "'.1330$

"'.3$'#& "'.3$'#&

"'./##$/ "'./##$/

"'.$1"' "'.$1"'

"#.1"%%3 "#.1"%%3

"#.''0&" "#.''0&"

"#."01" "#."01"

"#.$/31' "#.$/31'

"/.&&'#" "/.&&'#""/.'%/01 "/.'%/01

"/."'"'' "/."'"''

"".00%%% "".00%%%

"".&"031 "".&"031

"".#31"# "".#31"#

""."$31% ""."$31%

"%.0#'/& "%.0#'/&

"%.31/0# "%.31/0#

"%.#""'$ "%.#""'$

"%.%3%$3 "%.%3%$3

"$.1003/ "$.1003/

"$.3/1% "$.3/1%"$./&3&3 "$./&3&3

"$.%%'/" "$.%%'/"

%0.1'/1 %0.1'/1

%0.'0"#' %0.'0"#'

%0.//%$" %0.//%$"

%0.$30'1 %0.$30'1

%1.1$1%' %1.1$1%'

y )i+ture



%1.'#3&% %1.'#3&%

%1."1'"1 %1."1'"1

%1.$"/1# %1.$"/1#

%&.&3"#% %&.&3"#%

*l



-uili*rium Diagram for ixture of Acetone and Isopropanol at 101.3 kPa

<sing 8aoult=s >a9? Total ystem Pressure! 101.3

2acetone T*u**le Pacetone( ;acetone

1.00 #/.0$'0& "#$.%11% 1.00 1.00

0.$$ #/.&$#1 "/#.0'1' 1.00 0.$$

0.$% #/.'$"3 ""0.3&%$ 0.$$ 0.$%

0.$" #/."00/& ""#./"#& 0.$$ 0.$"

0.$/ #/.$0#0% "%1.0%1 0.$$ 0.$/

0.$# #".110/% "%/.#'"1 0.$% 0.$#

0.$' #".31"'& "$&.0"'& 0.$% 0.$'

0.$3 #".#&#3& "$".//33 0.$% 0.$3

0.$& #"."3'3% %03.31# 0.$" 0.$&

0.$1 #".$''/ %0$.030& 0.$" 0.$1

0.$0 #%.1##$$ %1'.%0$% 0.$" 0.$0

0.%$ #%.3/%#" %&0./#'/ 0.$/ 0.%$

0.%% #%.#%&3& %&/.#/#' 0.$/ 0.%%

0.%" #%."$"&" %3&.#'3& 0.$# 0.%"

0.%/ #$.013'1 %3%.#%%" 0.$# 0.%/

0.%# #$.&30"/ %''."0&% 0.$' 0.%#

0.%' #$.''$31 %#0.%%/# 0.$' 0.%'

0.%3 #$.//$0" %#".1'0/ 0.$' 0.%3

0.%& #$.%$00# %/3.'//1 0.$3 0.%&

0.%1 /0.11&&/ %/$.%/3$ 0.$3 0.%1

0.%0 /0.33#/$ %"/.33'% 0.$& 0.%0

0."$ /0.#/03/ %%&.%"$% 0.$& 0."$

0."% /0."%/&" %%$.'$$$ 0.$1 0."%

0."" /1.013'& %$/.1$/1 0.$1 0.""

0."/ /1.&'1%& $0&.$/$& 0.$0 0."/

0."# /1.'"1'% $0$.%&0& 0.$0 0."#

0."' /1."0&3$ $1/."#0& 0.%$ 0."'

0."3 /1.$3'#/ $&3."/01 0.%$ 0."3

0."& /&.1/% $30.%#0% 0.%% 0."&

0."1 /&.'0&"& $3%.0&3# 0.%% 0."1

0."0 /&./3%" $'#.&"$1 0.%" 0."0

0./$ /&.%"#$/ $#&./1%" 0.%" 0./$

0./% /3.11'#1 $/0.0'3& 0.%/ 0./%

0./" /3.3#'3' $/".##3/ 0.%# 0./"

0.// /3.#$#'/ $"#.1#11 0.%# 0.//

0./# /3.%3"%/ $%&.%3/" 0.%' 0./#

0./' /'.0%1#" $$0./11' 0.%3 0./'

0./3 /'.3&/#/ $$%.'"/& 0.%3 0./3

0./& /'.#"&%/ 100/.'3& 0.%& 0./&

0./1 /'.%&0'# 101'.'%1 0.%1 0./1

0./0 /#.0/$3' 10&&./&3 0.%1 0./0

0.#$ /#.31$#' 1030.%#$ 0.%0 0.#$

P A!;

AP!2

AP

A(

'#: >ine

o f A

c e t o n e

i n 3

a p o u r 2

! a c e t o n e



0.#% /#.#"10' 103$.1$1 0."$ 0.#%

0.#" /#.%&3%# 10'"./1$ 0."$ 0.#"

0.#/ //.0""$/ 10#/.1'# 0."% 0.#/

0.## //.3333% 10/'."" 0."" 0.##

0.#' //.#$01 10"3.'$# 0."/ 0.#'

0.#3 //.%'%13 10%&.3&1 0."# 0.#3

0.#& /".10"'" 10$1.&'$ 0."# 0.#&0.#1 /".3/%1 1100.&% 0."' 0.#1

0.#0 /"./300' 110$.'1# 0."3 0.#0

0.'$ /".%$3&$ 111%./#/ 0."& 0.'$

0.'% /%.1#"%3 11&%.003 0."1 0.'%

0.'" /%.'&3// 113".'#% 0."0 0.'"

0.'/ /%./$0% 11'".0&& 0./$ 0.'/

0.'# /%.$#$&& 11#/./$# 0./$ 0.'#

0.'' /$.&&%$3 11//.'"$ 0./% 0.''

0.'3 /$.'$$$3 11"/.3"# 0./" 0.'3

0.'& /$.""&& 11%/.3%' 0.// 0.'&

0.'1 "0.0'#"# 11$/.#0" 0./# 0.'1

0.'0 "0.3&0#" 1&0/."'/ 0./' 0.'00.3$ "0.#$/// 1&1".1 0./& 0.3$

0.3% "0.%"' 1&&".#"& 0./1 0.3%

0.3" "1.1#&/ 1&3%.1/& 0./0 0.3"

0.3/ "1.'3&'' 1&'%.%"& 0.#$ 0.3/

0.3# "1."13#1 1&#$."0& 0.#% 0.3#

0.3' "1.$$#%& 1&"0./#3 0.#" 0.3'

0.33 "&.&"$3# 1&%1."&/ 0.#/ 0.33

0.3& "&.#/'0$ 1&$&.$&3 0.#' 0.3&

0.31 "&.%#00' 130'.&'' 0.#3 0.31

0.30 "3.13"1% 131#./$ 0.#& 0.30

0.&$ "3.'&## 13&".&/& 0.#1 0.&$

0.&% "3."1'$$ 133%.$/1 0.'$ 0.&%0.&" "'.00#/' 13#0."%$ 0.'% 0.&"

0.&/ "'.&$"'' 13/&."'# 0.'" 0.&/

0.&# "'.#$03% 13"'.%3 0.'# 0.&#

0.&' "'.%%''' 13%".0'/ 0.'' 0.&'

0.&3 "#.1"$/1 13$$.3$3 0.'& 0.&3

0.&& "#.'"#%" 1'11.%"& 0.'1 0.&&

0.&1 "#.""3&1 1'&'.'%' 0.3$ 0.&1

0.&0 "/.0"1/& 1'3".&3 0.3% 0.&0

0.1$ "/.3"10% 1'#0.10$ 0.3/ 0.1$

0.1% "/./"1#" 1'/3.1&' 0.3# 0.1%

0.1" "/.$"30$ 1'"/.&"3 0.33 0.1"

0.1/ "".&"#/ 1'%$.##$ 0.31 0.1/0.1# "".#"$1 1#0&.$%& 0.30 0.1#

0.1' "".%%3#/ 1#1/.#'& 0.&% 0.1'

0.13 "%.1%%$% 1#30.&' 0.&/ 0.13

0.1& "%.'$#33 1#''.0"" 0.&' 0.1&

0.11 "%.%0&#$ 1##%.0#& 0.&3 0.11

0.10 "$.110"# 1#"&.1/% 0.&1 0.10

0.0$ "$.'1$"$ 1#%/.'&3 0.1$ 0.0$

0.00 0.10

f4x6 ! 0.#"%"0'

,-uilibrium "i

-ui

Poly

>ine

)

) o

l e

* r a c t i o n



0.0% "$."&$/$ 1/00.%1% 0.1" 0.0%

0.0" %0.0'0'3 1/1#.3## 0.1# 0.0"

0.0/ %0.3#& 1/30.033 0.13 0.0/

0.0# %0.//'3/ 1/''.%#& 0.11 0.0#

0.0' %0.$""#& 1/#$.%1' 0.0$ 0.0'

0.03 %1.&$1'3 1/"'.$1% 0.0" 0.03

0.0& %1./0/0$ 1/$0.1/# 0.0' 0.0&0.01 %1.$&1'" 1"0#.### 0.0& 0.01

0.00 %&.&3"#' 1"&1.0%% 0.00 0.00



kPa ! "#$.%1&# mm ,g



0.&0 0.30 0.'0 0.#0 0./0 0."0 0.%0 0.$0 1.00

#$#x@3 1."%1'3#$$"#x@& A &.&0&/#0%'&'x A 0.003031'/$#

gram for the Acetone and Isopropanol System at ./.(0kPa

li*rium >ine

nomial 4-uili*rium

ole *raction of Acetone in 1i-uid2 acetone



ole Fraction of Acetone Bu**le Point Temp. De9 Point Temp. :

1.00 #/.0/ #/.0/

0.$# #".0" #%.$3

0.$0 #%.1& /1.3'

0.%# #$.1$ /3.''0.%0 /0.&$ /#.3

0."# /1.'3 //.$"

0."0 /&./ /%.'$

0./# /3.% /$.$

0./0 /#.03 "1.&

0.## //.&$ "&.'1

0.#0 /".#$ "3.##

0.'# /%.$& "'./&

0.'0 "0.&% "#./3

0.3# "1./% "/.#$

0.30 "3.11 "".#1

0.&# "'.#/ "%.3%0.&0 "/.0# "$.&&

0.1# "".#/ %0.0&

0.10 "$.1 %0."$

0.0# %0.// %1.#3

0.00 %&.&' %&.&#



0.00 0.10 0.&0 0.30 0.'0 0.#0 0./0 0."0 0.%0 0.$0 1.00##

/0

/#

"0

"#

%0

%#

T! "iagram # Temperature $%C& 's( )ole *rac

)ole *raction of Acetone in Binary )i+ture

T e m p e r a t u r e $ % C &



tion of Acetone in Binary )i+ture at ./.(04kPa

Bu**le Point Temp.De9 Point Temp.



"ensity of *eed 5 6/C

Density of Acetone! 0."/"%%&$&'" gcm3 ! "/".%%&$&'//

Density of Isopropanol! 0."/"%3"#11/ gcm3 ! "/".%3"#11#$

Density of Feed! 0."/"%%0/#' gcm3 ! "/".%%0/#'01

r Acetone! #%.0% gmoler Isopropanol! /0.0$/ gmole

1 k mole of Acetone! #%.0% kg

1 k mole of Isopropanol! /0.0$/ kg

1 k mole of Feed! #%.1%0% kg

$00 k mole of Feed! #&3/&."& kg

Feed 7olumetric Flo9rate! /%.1$1&&1%0$ m3Cr ! /%1$1.&&1%0$

! 1%.$'&00/0#%

"ensity of "istillate 5 47C

Density of Acetone! 0."%&10&%30/ gcm3 ! "%&.10&%30#$

Density of Isopropanol! 0.""$"3$%331 gcm3 ! ""$."3$%330/

Density of Distillate! 0."%&10&#$'3 gcm3 ! "%&.10&#$'&$

r Acetone! #%.0% gmole

r Isopropanol! /0.0$/ gmole



1 k mole of Distillate! #%.0%0&01/ kg

%3".$%3% k mole of Distillate! '%/"0.&/%0'& kg

Distillate 7olumetric Flo9rate! /&.&300301"3 m3Cr ! /&&30.0301"3

! 1".&%/11$'$3

"ensity of Bottoms 5 80(70998C

Density of Acetone! 0."&#"/0'&'1 gcm3 ! "&#."/0'&'0$

Density of Isopropanol! 0."3&1&"'3/ gcm3 ! "3&.1&"'3#$/

Density of Bottoms! 0."303"&0#0% gcm3 ! "30.3"&0#0"$

r Acetone! #%.0% gmole

r Isopropanol! /0.0$/ gmole



1 k mole of Bottoms! #$.#'01%%% kg

/&.01/& k mole of Bottoms! 3/$&./3'%""& kg

Bottoms 7olumetric Flo9rate! #.0##%&"1$## m3Cr ! #0##.%&"1$##

! 1.'0'3$/''3&



"ensity of 'erhead 3apor 5 ;<(/9</0C

-xternal reflux ratio! 0.%1&0&#%/1"

erCead distillate molar flo9 rate! %3".$%3% kmoleCr

Eien tCat tCe tCe 8D G 0.%1&01? oerCead apor molar flo9 rate can *e found

erCead apor molar flo9 rate! 1#1%.''%31"3 kmoleCr

erCead apor mass flo9 rate! %%1$1."%'3%% kgCr

Ideal gas la9? P7!n8T is used to find 7? tCe olumetric flo9 rate of tCe oerCead apor

P! 101300 Pa

n! 1#1%.''%31"301 kmoleCr

8! %31' m3.Pa4kmole.H6

T! 3&$.&'/03 H

8earranging tCe Ideal Eas en? 7!4n8TP6

7! '1031.%#3#$3"30# m3Cr 7! 11.3$""3"10$' m3s

n 4m6! 1#1%.''%31"301 kmoleCr

m! %%1$1."%'3%%0&13 kgCr

m! &'.'$""1"%%#/ kgs

Density of erCead 7apor 4m76! &.1'$3'$&/#/ kgm3

+T- -xternal reflux mass flo9 rate is tCerefore! 3$#&1.#1/3'/ kgCr

3iscosity of *eed $1i-uid& 5 6/C7iscosity of Acetone! 0.&'$%3#"/$& cP ! 0.000&'$%3#%

7iscosity of Isopropanol! 0.$"3&#&"/$$ cP ! 0.000$"3&#&%

7iscosity of Feed! 0.&%/00//1$3 cP ! 0.000&%/00//

3iscosity of "istillate $1i-uid& 5 47C

7iscosity of Acetone! 0.&$$%&$&/#$ cP ! 0.000&$$%&$3

7iscosity of Isopropanol! 1."$'1/'3"&" cP ! 0.001"$'1/''

7iscosity of Feed! 0.&$$$"%/$$' cP ! 0.000&$$$"%"

3iscosity of Bottoms $1i-uid& 5 80(70998C

7iscosity of Acetone! 0.&0%3'$/0"' cP ! 0.000&0%3'$/

7iscosity of Isopropanol! 0.#'#3'/&"31 cP ! 0.000#'#3'/3

7iscosity of Feed! 0.'#&'3/&$&3 cP ! 0.000'#&'3/3

3iscosity of 'erhead 3apor $as& 5 ;<(/9</0C

7iscosity of Acetone! %3.0%%3&/&" ! %.30%%3-00/

7iscosity of Isopropanol! %#.#"#1/1%3/ ! %.##"#&-00/

7iscosity of Feed! %3.0%%#"'$#' ! %.30%%/-00/

P

P

P



Calculations for 'erhead 3apor Temperature

erCead 7apor Tempeature of 0.$$$$ Acetone #/.0$/0333/3

Calculations for *eed 5 6/C

,eat )apacity for Feed

)p> of Acetone! 13&.3/"%1''$ Jmol.H

)p> of Isopropanol! 1"".%10'3103 Jmol.H

)p> of Feed! 13'./3$$'#3& Jmol.H

,eat )apacity for Distillate

)p> of Acetone! 1&%.0//'&11& Jmol.H

)p> of Isopropanol! 1"&.$$0%1$$% Jmol.H

)p> of Feed! 1&%.0"0$13#/ Jmol.H

,eat )apacity for Bottoms

sd )p> of Acetone! 13".$00&&"1$ Jmol.H

)p> of Isopropanol! 1%'.0&$%00% Jmol.H

)p> of Feed! 1"1.311%""3# Jmol.H

,eat of 7aporiKation for Feed

L of Acetone! 30.&$1&1#/#1 kJmol ! 30&$1.&1#/#1

L of Isopropanol! '&.'3/"31$"% kJmol ! '&'3/."31$"%

L of Feed! 30.%$%'$1'/% kJmol ! 30%$%.'$1'/%

Eien tCat !1444)p>(4T*Tf66L6

! 1.030$%'"1$

,eat of 7aporiKation for erCead 7apor

L of Acetone 4M 3&$.&'/H6! &$.%0"0//33% kJmol ! &$%0".0//33%

L of Isopropanol 4M 3&$.&'/H6! '1.$"/113$1$ kJmol ! '1$"/.113$1$

L of Feed 4M 3&$.&'/H6! &$.%0%&%3&'3 kJmol ! &$%0%.&%3&'3



-uili*rium Diagram for ixture of Acetone and Isopropanol at 101.3 kPa

<sing 8aoult=s >a9? Total ystem Pressure!

2acetone T*u**le Pacetone( ;acetone Feedline

1.00 #/.0$'0&&/01/ "#$.%11"#"3 1.00 1.00 &./13/$%/"#&

0.$$ #/.&$#0$%"%&$ "/#.0'13/##' 1.00 0.$$ &.&%0$#%$'0&

0.$% #/.'$"&$#"&"' ""0.3&%$310/ 0.$$ 0.$% 1.$'%&1$&0#1

0.$" #/."00/1$$""& ""#./"#&1$%$ 0.$$ 0.$" 1./1#'"$'"01

0.$/ #/.$0#0"%03' "%1.0%100"'$ 0.$$ 0.$/ 1.&%&"3$"3#

0.$# #".110/"/3##& "%/.#'"0"%/% 0.$% 0.$# 0.$#

0.$' #".31"'&13#0' "$&.0"'&&""" 0.$% 0.$'

0.$3 #".#&#31$3""# "$".//3&#%'% 0.$% 0.$3

0.$& #"."3'3"/"3%1 %03.31'$%' 0.$" 0.$&

0.$1 #".$''#$$/"'% %0$.030&&"03 0.$" 0.$1

0.$0 #%.1##$$'3/#3 %1'.%0$%1$/" 0.$" 0.$0

0.%$ #%.3/%#//$1%$ %&0./#'/03#3 0.$/ 0.%$

0.%% #%.#%&3&33"&3 %&/.#/#'&$// 0.$/ 0.%%

0.%" #%."$"&/$/%'& %3&.#'31#%#1 0.$# 0.%"

0.%/ #$.013'11"31# %3%.#%%/#$$/ 0.$# 0.%/

0.%# #$.&30"##303# %''."0&%13&# 0.$' 0.%#

0.%' #$.''$30/0$"% %#0.%%/#0/$& 0.$' 0.%'

0.%3 #$.//$0/$"1'/ %#".1'0/3%%1 0.$' 0.%3

0.%& #$.%$00#1/#1% %/3.'//11#$" 0.$3 0.%&

0.%1 /0.11&&#"&$$/ %/$.%/3%#'#/ 0.$3 0.%1

0.%0 /0.33#/$1$3#' %"/.33'""$%# 0.$& 0.%0

0."$ /0.#/03/0"1"/ %%&.%"$%&/0$ 0.$& 0."$

0."% /0."%/&/%/%01 %%$.'$$$3/3" 0.$1 0."%

0."" /1.013'&0"&// %$/.1$/0/&/1 0.$1 0.""

0."/ /1.&'1%&1/&#& $0&.$/$1/#3/ 0.$0 0."/

0."# /1.'"1'"/000$ $0$.%&0&13" 0.$0 0."#

0."' /1."0&3%%330% $1/."#01%#13 0.%$ 0."'

P A!;

AP!2

AP

A(

'#: >ine



0."3 /1.$3'#/&$3"/ $&3."/00/#3/ 0.%$ 0."3

0."& /&.1/%003$%&# $30.%#0%'%&1 0.%% 0."&

0."1 /&.'0&"1#'#%" $3%.0&3#3#3/ 0.%% 0."1

0."0 /&./3%"011%#" $'#.&"$13/&3 0.%" 0."0

0./$ /&.%"#$/'%01" $#&./1%//""& 0.%" 0./$

0./% /3.11'#0$"#"& $/0.0'31#'0" 0.%/ 0./%

0./" /3.3#'33$30"3 $/".##3/&/#& 0.%# 0./"0.// /3.#$#'#/#0#& $"#.1#11&31" 0.%# 0.//

0./# /3.%3"%/'1$# $%&.%3//%%/& 0.%' 0./#

0./' /'.0%1#/#003% $$0./113"3"% 0.%3 0./'

0./3 /'.3&/#/133#1 $$%.'"/&3##3 0.%3 0./3

0./& /'.#"&%##3/01 100/.'3&33/' 0.%& 0./&

0./1 /'.%&0''$011% 101'.'%0"''3 0.%1 0./1

0./0 /#.0/$3'3$"'% 10&&./&&#3& 0.%1 0./0

0.#$ /#.31$#'1/"$/ 1030.%#%""" 0.%0 0.#$

0.#% /#.#"10'3&$3# 103$.1$0#/11 0."$ 0.#%

0.#" /#.%&3%'$"1&3 10'"./1%$/$" 0."$ 0.#"

0.#/ //.0""$/1##&/ 10#/.1'#0$1% 0."% 0.#/

0.## //.3333"$1'3" 10/'.""001$& 0."" 0.##0.#' //.#$010&#1"# 10"3.'$'%'/' 0."/ 0.#'

0.#3 //.%'%131'01% 10%&.3&0//$# 0."# 0.#3

0.#& /".10"'/#&10& 10$1.&'%#%/' 0."# 0.#&

0.#1 /".3/%103033% 1100.&"$/$#" 0."' 0.#1

0.#0 /"./300'3/31# 110$.'1#0$/# 0."3 0.#0

0.'$ /".%$3&%#'&11 111%./##%%"3 0."& 0.'$

0.'% /%.1#"%&/'"0" 11&%.0031//1 0."1 0.'%

0.'" /%.'&3//''%" 113".'#%0&$ 0."0 0.'"

0.'/ /%./$0"$/%0%1 11'".0&1#" 0./$ 0.'/

0.'# /%.$#$&&03$1" 11#/./$'%%01 0./$ 0.'#

0.'' /$.&&%$31%0#/ 11//.'"$0'/# 0./% 0.''

0.'3 /$.'$$$&"&1%# 11"/.3"#1#& 0./" 0.'30.'& /$.""&&0&3%% 11%/.3%'&"' 0.// 0.'&

0.'1 "0.0'#"#&/#1& 11$/.#0"'%3# 0./# 0.'1

0.'0 "0.3&0#"&$1'% 1&0/."'#%''% 0./' 0.'0

0.3$ "0.#$//#"/'33 1&1".100'13% 0./& 0.3$

0.3% "0.%"'000%'$# 1&&".#"&&3"% 0./1 0.3%

0.3" "1.1#&#$/0%'3 1&3%.1/&3#' 0./0 0.3"

0.3/ "1.'3&'3/'&#$ 1&'%.%"1"%%" 0.#$ 0.3/

0.3# "1."13#1''"1/ 1&#$."01##/3 0.#% 0.3#

0.3' "1.$$#%&&3&/1 1&"0./#&/#%& 0.#" 0.3'

0.33 "&.&"$3#1#$/& 1&%1."&/0%& 0.#/ 0.33

0.3& "&.#/'0$33%0' 1&$&.$&&% 0.#' 0.3&

0.31 "&.%#003%&/3# 130'.&'3"/%/ 0.#3 0.310.30 "3.13"1"/310& 131#./%$$&"& 0.#& 0.30

0.&$ "3.'&#'$"0/3 13&".&/&1$/$ 0.#1 0.&$

0.&% "3."1'$%$#3"' 133%.$/1'%01 0.'$ 0.&%

0.&" "'.00#/'&&&'& 13#0."%%/#$& 0.'% 0.&"

0.&/ "'.&$"''30$ 13/&."''#$#$ 0.'" 0.&/

0.&# "'.#$03"$#%&/ 13"'.%30130/ 0.'# 0.&#

0.&' "'.%%''3%/3$ 13%".0'/0%1% 0.'' 0.&'



0.&3 "#.1"$/0//$'$ 13$$.3$3&'## 0.'& 0.&3

0.&& "#.'"#%/$/$$" 1'11.%"&3$'" 0.'1 0.&&

0.&1 "#.""3&131331 1'&'.'%'&"$# 0.3$ 0.&1

0.&0 "/.0"1/&&0&#& 1'3".&&$/&" 0.3% 0.&0

0.1$ "/.3"10%0$%0/ 1'#0.10$1'11 0.3/ 0.1$

0.1% "/./"1#"'&0'$ 1'/3.1&3#03& 0.3# 0.1%

0.1" "/.$"30%##33 1'"/.&"33"&1 0.33 0.1"0.1/ "".&"##$%'#$% 1'%$.##$3%'/ 0.31 0.1/

0.1# "".#"$0$/1"1" 1#0&.$%&1#// 0.30 0.1#

0.1' "".%%3#/1#"/$ 1#1/.#'&&%&% 0.&% 0.1'

0.13 "%.1%%$""33'" 1#30.&'033"% 0.&/ 0.13

0.1& "%.'$#3&#%"$/ 1#''.0"/%"/# 0.&' 0.1&

0.11 "%.%0&#%$''0# 1##%.0#&'3' 0.&3 0.11

0.10 "$.110"#00#1 1#"&.1/"#&#' 0.&1 0.10

0.0$ "$.'1$"%$#'"& 1#%/.'&&/'## 0.1$ 0.0$

0.0% "$."&$/%$##&' 1/00.%1%&//" 0.1" 0.0%

0.0" %0.0'0'31''&1 1/1#.3#'%3"& 0.1# 0.0"

0.0/ %0.3#1$$/&%$$ 1/30.03&"""3 0.13 0.0/

0.0# %0.//'3/'"%/% 1/''.%#&'"# 0.11 0.0#0.0' %0.$""#1"13#3 1/#$.%1'&"$' 0.0$ 0.0'

0.03 %1.&$1'3&$1'/ 1/"'.$1%'$3/ 0.0" 0.03

0.0& %1./0/0$0$1#3 1/$0.1/#3/'/ 0.0' 0.0&

0.01 %1.$&1'/%$'% 1"0#.###0"&# 0.0& 0.01

0.00 %&.&3"#'3/&'" 1"&1.0%""1"3 0.00 0.00

)inimum ,+ternal >eflu+ >atio ? ,+ternal >eflu+ >atio Calculation

)oefficients for euation of ;acetone2acetone cure in tCe -uili*rium Diagram

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for euation of Feed >ine cure

x@3 x@& x@1 )

0 0 33.&"3$"3#0' 30.//0&"'%3

)oefficients of oerall euation to find tCe roots of tCe ;acetone2acetone and Feed >ine cures

x@3 x@& x@1 )

0.#"%" 1."%1' 31.0"1&"3# 30.//3&"'%&$

oling for tCe roots of tCe oerall euation

x f4x6!0

0.$#103'&0/ 1./330'3%#1&#/$-00"

NCen tCe alue of x is at 0.$#103'&0/ ? tCe alue of y is at 0.$%''1&1'3"

Finding tCe minimum external reflux euation and ratio

)oordinates 2 ;

1st min. ext. reflux coordinate! 0.$$$$ 0.$$$$

&nd min. ext. reflux coordinate! 0.$#103'&0/ 0.$%''1&1'3"



Eradient of tCe minimum reflux line! 0.31/$'/"%#"

)oefficients for minimum reflux line

x@3 x@& x@1 )

0 0 0.31/$'/"%#" 0./%&$%'$0$

inimum reflux ratio is tCerefore! 0.'/'01'""%1

*inding the reflu+ ratio

8eflux ratio multiplier! 1."#

8eflux ratio! 0.%1&0&#%/1"

Calculations for operating line2 internal reflu+ ratio2 enriching line2 and the number of total th

-xternal reflux ratio! 0.%1&0&#%/1"

;intercept of tCis reflux ratio! 0.##1%1331/3

*inding the e-uation for the operating line and internal reflu+ ratio)oordinates 2 ;

1st operating line coordinate! 0.$$$$ 0.$$$$

&nd operating line coordinate! 0 0.##1%1331/3

Eradient of operating line! 0.''%131'$/%

-uation of operating line! y!40.''%16(x0.##1%

Internal reflux ratio 4slope of operating line? >76! 0.''%131'$/%

*inding the Intersection point of the feed line and the operating line

)oefficients of tCe feed linex@3 x@& x@1 )

0 0 33.&"3$"3#0' 30.//0&"'%3

)oefficients of tCe operating line

x@3 x@& x@1 )

0 0 0.''%131'$/% 0.##1%1331/3



)oefficients of tCe oerall euation to find tCe intersection point

x@3 x@& x@1 )

0 0 3&.%&#%'&00" 31.&1&0%%1'

oling for tCe roots of tCe oerall euation

x f4x6!0

0.$#0%3%$1$# 0

NCen x!0.$#0%? 4oerall en6 ;!43&.%&#%6(x31.&1&1!0

xcoordinate of tCe intersection point is tCerefore! 0.$#0%3$

ycoordinate of tCe intersection point is tCerefore! 0.$""$1'

*inding the e-uation of the enriching line

)oordinates 2 ;

1st enricCing line coordinate! 0.&"#" 0.&"#"

&nd enricCing line coordinate! 0.$#0%3%$1$# 0.$""$1'1%'/

Eradient of enricCing line! 1.0'0103&#03

;intercept? )? of enricCing line! 0.0110#/'//

-uation of enricCing line! y!41.0'016(x0.0111

*inding the theoretical number of trays re-uired

.st Tray

)oefficients for tCe euation of ;acetone2acetone cure in tCe -uili*rium Diagram

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe 1st tray CoriKontal linex@3 x@& x@1 )

0 0 0 0.$$$$

)oefficients for oerall euation to find 1st tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$$/$

oling for tCe roots of tCe oerall euation to find 1st tray intersection point

x f4x6!0

0.$$3%"$/0$" 0.000"$/$03"

4nd Tray)oefficients of tCe operating line

x@3 x@& x@1 )

0 0 0.''%131'$/% 0.##1%1331/3

u*stituting x!0.$$3$ into tCe coefficients a*oe?

y! 0.$$"&0&0"3#




x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe &nd tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.$$"&0&0"3#

)oefficients for oerall euation to find &nd tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$$'&

oling for tCe roots of tCe oerall euation to find &nd tray intersection point

x f4x6!0

0.$%'#%%1"'1 $."$%311#$"30$-00/

0rd Tray


x@3 x@& x@1 )0 0 0.''%131'$/% 0.##1%1331/3

u*stituting x!0.$%'/ into tCe coefficients a*oe?

y! 0.$$303%&%%#


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe 3rd tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.$$30

)oefficients for oerall euation to find 3rd tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$$00

oling for tCe roots of tCe oerall euation to find 3rd tray intersection point

x f4x6!0

0.$"3#"%%'%3 0.00001'$3%

6th Tray


x@3 x@& x@1 )0 0 0.''%131'$/% 0.##1%1331/3

u*stituting x!0.$"3/ into tCe coefficients a*oe?

y! 0.$%%10'//&$


x@3 x@& x@1 )



0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe 'tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.$%%10'//&$

)oefficients for oerall euation to find 'tC tray intersection pointx@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$%#10'//3

oling for tCe roots of tCe oerall euation to find 'tC tray intersection point

x f4x6!0

0.$/1&01#'"# 0.000&0#1&$#

;th Tray


x@3 x@& x@1 )

0 0 0.''%131'$/% 0.##1%1331/3

u*stituting x!0.$/1& into tCe coefficients a*oe?

y! 0.$%&##%00'#


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe #tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.$%&##%00'#

)oefficients for oerall euation to find #tC tray intersection pointx@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$"$##%00#

oling for tCe roots of tCe oerall euation to find #tC tray intersection point

x f4x6!0

0.$'/&#10'/' 1.1//00"&/1/%%1-00#

xcoordinate tCresCold for transition from operating line to enricCing line! 0.$#0%3%$1$#

,ence tCe enricCing line en 9ill *e used to find tCe CoriKontal line for tCe next tray

<th Tray

)oefficients of tCe enricCing linex@3 x@& x@1 )

0 0 1.0'0103&#03 0.0110#/'//

u*stituting x!0.$'/3 into tCe coefficients a*oe?

y! 0.$"31'&3&&%




x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe /tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.$"31'&3&&%

)oefficients for oerall euation to find /tC tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$"01'&3&3

oling for tCe roots of tCe oerall euation to find /tC tray intersection point

x f4x6!0

0.$&13##30'# 0.000&"'3$"/

8th Tray

)oefficients of tCe enricCing line

x@3 x@& x@1 )

0 0 1.0'0103&#03 0.0110#/'//

u*stituting x!0.$&1' into tCe coefficients a*oe?

y! 0.$'"&'%1%0"


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe "tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.$'"&'%1%0"

)oefficients for oerall euation to find "tC tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.$''&'%1%1

oling for tCe roots of tCe oerall euation to find "tC tray intersection point

x f4x6!0

0.%#/1"&#3/" 0.000$%/1%3&

7th Tray


x@3 x@& x@1 )

0 0 1.0'0103&#03 0.0110#/'//

u*stituting x!0.%#/& into tCe coefficients a*oe?

y! 0.%"$'#13"&1


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003



)oefficients for tCe %tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.%"$'#13"&1

)oefficients for oerall euation to find %tC tray intersection point

x@3 x@& x@1 )0.#"%" 1."%1' &.&0&" 0.%"/'#13"&

oling for tCe roots of tCe oerall euation to find %tC tray intersection point

x f4x6!0

0."1/'11/$&' "."$"$1303#33'#-00#

9th Tray


x@3 x@& x@1 )

0 0 1.0'0103&#03 0.0110#/'//

u*stituting x!0."1/' into tCe coefficients a*oe?y! 0."3'0%#//3"


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe $tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0."3'0%#//3"

)oefficients for oerall euation to find $tC tray intersection point

x@3 x@& x@1 )0.#"%" 1."%1' &.&0&" 0."310%#//'

oling for tCe roots of tCe oerall euation to find $tC tray intersection point

x f4x6!0

0.#03&&%1%$& 3.'%%'/"/310$/#-00/

./th Tray


x@3 x@& x@1 )

0 0 1.0'0103&#03 0.0110#/'//

u*stituting x!0.#03& into tCe coefficients a*oe?y! 0.#1&3#&%0$1


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe 10tC tray CoriKontal line



x@3 x@& x@1 )

0 0 0 0.#1&3#&%0$1

)oefficients for oerall euation to find 10tC tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.#0$3#&%0$

oling for tCe roots of tCe oerall euation to find 10tC tray intersection point

x f4x6!0

0.&$'/#&33#" 0.0001"$11//

..th Tray


x@3 x@& x@1 )

0 0 1.0'0103&#03 0.0110#/'//

u*stituting x!0.&$'" into tCe coefficients a*oe?

y! 0.&$#'1&3%/


x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.003

)oefficients for tCe 11tC tray CoriKontal line

x@3 x@& x@1 )

0 0 0 0.&$#'1&3%/

)oefficients for oerall euation to find 11tC tray intersection point

x@3 x@& x@1 )

0.#"%" 1."%1' &.&0&" 0.&$&'1&3%/

oling for tCe roots of tCe oerall euation to find 11tC tray intersection point

x f4x6!0

0.1#0&%"0'#3 0.0003#'1%#$

@umber of total theoretical stages=

+um*er of completed tCeoretical stages 10

+um*er of unfinisCed tCeoretical stages! 0.131&%0'1%'

+um*er of total tCeoretical stages! 10.131&%0'1%

Calculations for the number of actual trays needed for the distillation<sing =)onnell )orrelation to estimate oerall column efficiency

-oc!0.'$&4>56@0.&'#

9Cere u> is tCe isosity of tCe feed of in cP 8elatie 7olatilit

a is tCe aerage relatie olatility

-oc! 0.#&3"##$$0&



-oc! #&.3"##$$01$ O

TCerefore total actual trays reuired is found.

+um*er of total actual trays reuired! 1$.3'3#1&&/&

+um*er of total actual trays reuired 4rounded up6! &0

TCe =)onnell correlation 9as *ased on data for *u**lecap trays.

For siee and ale trays? its prediction are likely to *e sligCtly conseratie.

NCicC means it is good? *ecause you are oerdesigning tCe column.

It is needed to account for Ceat losses? pressure drops? and otCer factors 9CicC are not taken into a

,stimating the gas 'elocity for column entrainment flood prediction

Assumptions made

ystem is lo9 or nonfoaming.

Neir CeigCt is less tCan 1#O of tray spacing.

iee perforations are 13mm or less in diameter.

8atio of slot 4*u**le cap6? perforation 4siee6? or full ale opening 4ale plate6 area AC to actie are

4>E6(4E>6@0.#

(7alues of >? E? E? > are taken under tCe conditions of tCe top tray.

To ensure tCat tCe distillation column is not underdesigned? alues 9ill *e sligCtly modified.

)onsidering tCat tCe liuid flo9 at tCe top tray is only tCe external reflux coming in?

>! ass flo9 rate of external reflux

>! 3$#&1.#1/3'/'%"& kgCr

)onsidering tCat tCe apor mass flo9 rate at top tray is of tCe same mass flo9 rate going into tCe co

E! ass flo9 rate of oerCead apor

E! %%1$1."%'3%%0&13 kgCr

E! &.1'$3'$&/#/ kgm3

>! "30.3"&0#0"%%3 kgm3

4>E6(4E>6@0.#

0.0&'31010%3

)s*f!

9Cere T is platetray spacing? mm

First of all? dimensionless flo9 parameter F>E

needs to *e found.

F>E

!

From preious calculations? E Q

> are already kno9n.

F>E

is tCen calculated and deried.

F>E

!

F>E

!

F>E

is linked to )s*f 4capacity parameter corrected for surface tension? ms6 ia tCe follo9ing euatio

0.010#%.1&"410@'64T@0."##6expR1.'/3F>E

@0.%'&S



<sually? tray spacing is &'incCes for columns 9itC greater tCan 1.#m and lesser tCan /m diameter48

Assuming tCat tray spacing is &'incCes?

Tray spacing! &' incCes 3$.3"

Tray spacing! /0$./01&1$& mm

NitC tray spacing deried? )s*f can *e calculated

)s*f!

)s*f! 0.10"0"&0%#& ms

)s*f is related to <nf 4gas elocity tCrougC net area at flood? ms6 *y tCe follo9ing euation

<nf! )s*f44&06@0.&6(44>E6E6@0.#

9Cere is surface tension of liuid at tCe top tray? dynescm

Calculating the surface tension of li-uid at the top tray

urface Tension of Top Tray >iuid M #/.0$/03)

urface Tension of Pure Acetone! 1$.&'3"0'$' dynescm

urface Tension of Pure Isopropanol! 1%.'1$#/0/$$ dynescm

urface Tension of Top Tray >iuid! 1$.&'3/&&#&# dynescm

<nf! )s*f44&06@0.&6(44>E6E6@0.#

<nf! 1.$##"1%01$/ ms

)B4corrected 9itC surface tension6

)B 4corrected6! 0.10/&'$/"$1 ms

From Perry=s )Cemical -ngineer=s ,and*ook? 1'3%?

Eien tCat column sCould operate at approximately %0O of flooding point?

)! 0.0%#/#"//%& ms

".&&%$&#$%# m&

Assuming tCat tCe do9ncomer area is 0.3m&?

)olumn )ross ection area! do9ncomer area net area

)olumn )ross ection area! ".#&%$&#$%#

Plotting a ta*le

Flo9 rate of feed 1%.$'&00/0#% >s 7olume of feed

0.01%$'&00/1 m3s 1".0'"%0#'#&

I. )olumn Dia I. )olumn 8adius 2area ,eigCt of colu 7elocity for oerCead apor

0.0# 0.0&# 0.001$/3'$#' 3$10"$.#/&1/ J"'&

0.1 0.0# 0.00"%#3$%1/ $""/$.%$0#' 0

0.1# 0.0"# 0.01"/"1'#%" '3'#3.&%'/%# 0

0.010#%.1&"410@'64T@0."##6expR1.'/3F>E

@0.%'&S

)!RE43/00(E(A+6S(RE4>E6S@0.#

A+! RE43/00(E()6S(RE4>E6S@0.#

A+!



0.& 0.1 0.031'1#$&/# &'''&.'"&/3# 0

0.&# 0.1&# 0.0'$0%"3%#& 1#/'3.1%&'%/ 0

0.3 0.1# 0.0"0/%#%3'" 10%/3.3&11"1 0

0.3# 0.1"# 0.0$/&11&"# "$%1.&1###'3 0

0.' 0.& 0.1&#//3"0/1 /110./1%1#%% 0

0.'# 0.&&# 0.1#$0'31&%1 '%&%.1'&"'&" 0

0.# 0.&# 0.1$/3'$#'0% 3$10."$#/&1/ 00.## 0.&"# 0.&3"#%&$''' 3&3&.0/&'$"& 0

0./ 0.3 0.&%&"'333%% &"1#.%30&$&% 0

0./# 0.3&# 0.331%30"&' &31'.0%0&'$# 0

0." 0.3# 0.3%'%'#1001 1$$#.303%%%/ 0

0."# 0.3"# 0.''1"%/'//$ 1"3%.1313%"' 0

0.% 0.' 0.#0&/#'%&'/ 1#&"./#'#3$" 0

0.%# 0.'&# 0.#/"'#01"31 13#3.&1/'"%1 0

0.$ 0.'# 0./3/1"&#1&' 1&0".03#/%#" 0

0.$# 0.'"# 0."0%%&1%'&# 10%3.3&&%%/$ 0

1 0.# 0."%#3$%1/3' $""./$%$0#' 0

1.0# 0.#&# 0.%/#$01'"#1 %%/.%01"&%&/ 0

1.1 0.## 0.$#0331"""" %0%.01#/&'3 01.1# 0.#"# 1.03%/%$0"11 "3$.&%0%3#%' 0

1.& 0./ 1.130$"33##3 /"%.$#"#"3& 0

1.&# 0./&# 1.&&"1%'/303 /&#."&"&$$'/ 0

1.3 0./# 1.3&"3&&%$/1 #"%.#&00/&3" 0

1.3# 0./"# 1.'313%%1#&% #3/.'/030'"# 0

1.' 0." 1.#3$3%0'003 '$%.%&#$"&1' 0

1.'# 0."&# 1./#1&$$/3%# '/#.01"31#&$ 0

1.# 0."# 1."/"1'#%/"/ '3'.#3&%'/%# 0

1.## 0.""# 1.%%/$1$0%"/ '0/.$#0/3" 0

1./ 0.% &.010/1$&$%3 3%1.$13/3'$& 0

1./# 0.%&# &.13%&'/'$$% 3#$.11%0##&' 0

1." 0.%# &.&/$%00/$&& 33%.30'11$#& 01."# 0.%"# &.'0#&%1%"#' 31$.&'%/&&1" 0

1.% 0.$ &.#''/$00'$' 301."#%$&1'& 0

1.%# 0.$&# &./%%0&#&1'& &%#.//%0#1&# 0

1.$ 0.$# &.%3#&%"3/$$ &"0.%30"&1"& 0

1.$# 0.$"# &.$%/'"/#1/3 &#".1&00&""& 0

& 1 3.1'1#$&/#3/ &''.'&'"&/3# 0

&.0# 1.0&# 3.300/3#"%1" &3&./'/$"333 0

&.1 1.0# 3.'/3/0#$00/ &&1."00'3&0/ 0

&.1# 1.0"# 3./30#030103 &11.#0%/%/$# 0

&.& 1.1 3.%013&"110% &0&.003$0/0% 0

&.&# 1.1&# 3.$"/0"%&0&& 1$3.1&#"0$"1 0

&.3 1.1# '.1#'"#/&%'' 1%'.%&0&0%$/ 0&.3# 1.1"# '.33"3/13#"' 1"".03$1%/13 0

&.' 1.& '.#&3%$3'&1& 1/$."3$3$33 0

&.'# 1.&&# '."1'3#&'"#% 1/&.%%1$#00$ 0

&.# 1.&# '.$0%"3%#&1& 1#/.'31%&'%/ 0

&.## 1.&"# #.10"0#1##"# 1#0.3#"3%/'# 0

&./ 1.3 #.30$&$1#%'/ 1''./3001##$ 0

&./# 1.3&# #.#1#'#%/0&# 13$.&&3"/"&3 0



&." 1.3# #."&###&/11& 13'.11#0"/1$ 0

&."# 1.3"# #.$3$#"3/10" 1&$.&%&'$$%$ 0

&.% 1.' /.1#"#&1/01 1&'."0/'$30' 0

&.%# 1.'&# /.3"$3$/#%&& 1&0.3/$&0$/# 0

&.$ 1.'# /./0#1$%##'& 11/.&#'3&%%& 0

&.$# 1.'"# /.%3'$&"#1" 11&.3'/$00$' 0

3 1.# ".0/%#%3'"0/ 10%./33&11"1 03.0# 1.#&# ".30/1//'1# 10#.100//1/$ 0

3.1 1.## ".#'"/"/3#0& 101."3"/#$&# 0

3.1# 1.#"# "."$3113&"/3 $%.#33#&#3/& 0

3.& 1./ %.0'&'""1$3& $#.'"%'0%"31 0

3.&# 1./&# %.&$#"/%100$ $&.#/3&0$$"$ 0

3.3 1./# %.##&$%#$$$' %$.""$#13%11 0

3.3# 1./"# %.%1'130%%%" %".11$#&%&1/ 0

3.' 1." $.0"$&0&"/%$ %'.#"/0&$%"$ 0

3.'# 1."&# $.3'%&01/3$% %&.1'&31#0$' 0

3.# 1."# $./&11&"#01/ "$.%1&1###'3 0

3.## 1.""# $.%$"$%03#'& "".#"$"#%'13 0

3./ 1.% 10.1"%"/01$% "#.'3$"303## 03./# 1.%&# 10.'/3'/"03& "3.3%"0''%"$ 0

3." 1.%# 10."#&100%#" "1.'1"01&%13 0

3."# 1.%"# 11.0''//1/"3 /$.#&#&##'$# 0

3.% 1.$ 11.3'11'$'"$ /"."0"/%0'3 0

3.%# 1.$&# 11./'1#/'&"" /#.$/0'#$1&" 0

3.$ 1.$# 11.$'#$0/0/# /'.&%000/$3 0

3.$# 1.$"# 1&.&#'1"'%'' /&.//&$/'/1# 0

' & 1&.#//3"0/1' /1.10/1%1#%% 0

'.0# &.0&# 1&.%%&'$33"# #$./0/"00#&% 0

'.1 &.0# 13.&0&#'31&" #%.1/1"'333& 0

'.1# &.0"# 13.#&/#1$%/$ #/."/%/$%&3% 0

'.& &.1 13.%#''&3/0& ##.'&#10%01/ 0'.&# &.1&# 1'.1%/&#'3&/ #'.1&%/#$1&3 0

'.3 &.1# 1'.#&&01&0'1 #&.%""1"1"3/ 0

'.3# &.1"# 1'.%/1/$/"'" #1.//%#$0#%% 0

'.' &.& 1#.&0#30%''3 #0.#00$"/#1$ 0

'.'# &.&&# 1#.##&%'"131 '$.3"&'$%/$# 0

'.# &.&# 1#.$0'31&%0$ '%.&%1'&"'&" 0

'.## &.&"# 1/.&#$"0#'"% '".&&/1&"#' 0

'./ &.3 1/./1$0&#13" '/.&0#0#&&' 0

'./# &.3&# 1/.$%&&"1"%% '#.&1/"3"''# 0

'." &.3# 1".3'$''#'&$ ''.&#$"$/#33 0

'."# &.3"# 1"."&0#'/0/& '3.33&$1#'"# 0

'.% &.' 1%.0$##"3/%# '&.'3'%'%3&# 0'.%# &.'&# 1%.'"'#&%&$$ '1.#/''130&/ 0

'.$ &.'# 1%.%#"'0$$03 '0."&0'%"#&& 0

'.$# &.'"# 1$.&''&1%'$$ 3$.$0&00/13% 0

# &.# 1$./3'$#'0%# 3$.10"$#/&1/ 0



Calculations for 'olume accumulated after 4/minutes of feed flow rate

7olume accumulated after &0minutes of feed flo9 rate! '"".33%/ m3

Diameter of Feed Tank! /

pi! 3.1'1#$&/#3/

,eigCt 1/.%%&3$"%1$ #.$&3/'%3#"#



*eed Properties

kgm3 Feed is M '0 ) ! 313.1# H

kgm3

kgm3

>iuid density regression coefficients for Feed

Acetone

A! 0.&""&%

B! 0.&#"/

n! 0.&$$03

Tc! #0%.& 1.00 0.00 #/.0$'0&

0.$$ 0.01 #/."1#%'

Isopropanol 0.$$$$ 0.0001 #/.100&'

>Cr A! 0.&/"%#

>s B! 0.&/'"#

n! 0.&'3

Tc! #0%.31

kgm3 "istillate Properties

kgm3 Distillate is M &% ) ! 301.1# H

kgm3

>Cr

>s

kgm3 Bottoms Properties

kgm3 Bottoms is M "3.%3$$"01$ ) ! 3'/.$$ H

kgm3

0.&% "3."1'$%$#'

0.&" "'.00#/'&&&

0.&"#" "3.%3$$"01$

>Cr

>s

Eien tCat liuid density en is 4gcm36!A(B@414TTc66@n

;acetone

;isopropanol

Tde9

2acetone

T*u**le



'erhead Properties

erCead 7apor is M #/.0$/03 ) ! 3&$.&'/

1kmole of Acetone! #%.0% kg

1kmole of Isopropanol! /0.0$/ kg

1kmole of erCead 7apor! #%.0%0&01/ kg

m! mass flo9 rate

! molar mass of tCe apor

*eed PropertiesPa.s Feed is M #0 ) ! 3&3.1# H

Pa.s "istillate Properties

Pa.s Distillate is M &% ) ! 301.1# H

Bottoms Properites

Botoms is M "3.%3$$" ) ! 3'/.$$ H

Pa.s 'erhead Properties

Pa.s erCead 7apor is M #/.0$/03 ) ! 3&$.&'/ H

Pa.s

7iscosity of >iuid? ? regression coefficients for Feed

Pa.s Acetone

Pa.s A! ".&1&/

Pa.s B! $03.0#

)! 0.01%3%#

D! &.03#3-00#

Pa.s Isopropanol

Pa.s A! 0."00$

Pa.s B! %'1.#

Eien tCat 7icosity of >iuid? liuid

4centipoise6!10@4A4BT64)(T64D(T@&66



)! 0.00%/0/%

D! %.&$/'-00/

7iscosity of Eas? ? regression coefficients for Feed

)

Acetone

A! '.0##

B! 0.&//##

)! #./$3/-00/

Isopropanol

A! 10.%#$

B! 0.30%"3

)! '.%0$%-00#

*eed Properties

Feed is M #0 ) ! 3&3.1# H

"istillate Properties

Distillate is M &% ) ! 301.1# H

Bottoms Properties

Bottoms is M "3.%3$$"01$ ) ! 3'/.$$ H

Jmol 'erhead Properties

Jmol erCead is M #/.0$/03 ) ! 3&$.&'/

Jmol

NCen Feed is at a*oe stated temperature? *u**le point is

T*! #".110/"/3/ ) ! 330.&/0"

>iuid ,eat )apacity? )p>? regression coefficients for Feed

Eien tCat >iuid ,eat )apacity? )p>4Jmol.H6! AB(T)(T@&D(T@3

Jmol Acetone

Jmol A! '/.%"%

Jmol B! 0./&/#&

)! 0.00&0"/1

D! &.$#%3-00/

Isopropanol

A! "&.#&#

B! 0."$##3

Eien tCat 7icosity of Eas? gas

4micropoise6!A4B(T64)(T@&6

)

o l e

* r

a c t i o n

o f A

c e t o n

e

i n

3

a

o u r !

a c

e t o n e



)! 0.00&/33

D! 3./'$%-00/

-ntCalpy of 7aporiKation? L? regression coefficients for Feed

Acetone

A! '$.&''Tc! #0%.&

n! 0.'%1

Isopropanol

A! #%.$%&

Tc! #0%.31

n! 0.3&/

101.3 kPa ! "#$.%1&# mm ,g

perating >ine is y!40.''%16(x0.##1%

-nricCing >ine is y!41.0'016(x0.0111

p. >ine -nricCing >ine

0.$$$$

0.$$#'1$

0.$$0$3%

0.$%/'#"

0.$%1$"/ 0.$%"3$/

0.$""'$# 0.$"/$$#

0.$//#$'

0.$#/1$3

0.$'#"$&

0.$3#3$1

0.$&'$$

0.$1'#%$

0.$0'1%%

0.%$3"%"

0.%%33%/

0.%"&$%#

0.%/&#%'

0.%#&1%3

0.%'1"%&

0.%313%1

0.%&0$%

0.%10#"$

0.%001"%

0."%$"""

0.""$3"/

0."/%$"#

0."#%#"'

Eien tCat -ntCalpy of 7aporiKation? L4kJmol6!A(414TTc66@n



0."'%1"3

0."3"""&

0."&"3"1

0."1/$"

0."0/#/$

0./$/1/%

0./%#"/"0./"#3//

0.//'$/#

0./#'#/'

0./''1/3

0./33"/&

0./&33/1

0./1&$/

0./0&##$

0.#$&1#%

0.#%1"#"

0.#"13#/

0.#/0$##0.##0##'

0.#'01#3

0.#&$"#&

0.#1$3#1

0.#0%$#

0.'$%#'$

0.'%%1'%

0.'"""'"

0.'/"3'/

0.'#/$'#

0.''/#''

0.'3/1'30.'&#"'&

0.'1#3'1

0.'0'$'

0.3$'#3$

0.3%'13%

0.3"3"3"

0.3/333/

0.3#&$3#

0.3'&#3'

0.33&133

0.3&1"3&

0.3113310.300$3

0.&$0#&$

0.&%01&%

0.&/$"&"



+ote tCat )!ymx

+ote tCat 8m!42Dy61

oretical number of stages re-uired

olar fraction of acetone at *ottoms! 0.&"#"

n 3

a p o u r 2 ! a c e t o n e



y!m(x)

)!y4m(x6

0.00 0.10 0.&0 0.30 0.'0 0.#0 0./0 0."0 0.%0 0.$0 1.00

f4x6 ! 0.#"%"0'$#$#x@3 1."%1'3#$$"#x@& A &.&0&/#0%'&'x A 0.003031'/$#

,-uilibrium "iagram for the Acetone and Isopropan

)ole *raction of Acetone in 1i-uid2 acetone

)

o l e * r

a c t i o n

o f A c e t o n e i



0.$#0%3$



xcoordinate tCresCold for termination of calculations for tCeoretical trays! 0.&"#"

y! &."0%/3"&$1



count for tCis ideal distillation column design.

a Aa is 0.1 or greater. tCer9ise tCe alue of <nf o*tained from Fig. 1'31 sCould *e corrected.

densor??

n



F-8-+)- +--D-D6

incCes! 1000 mm

),-)H

'erhead Properties

erCead is M #/.0$/03 ) ! 3&$.&'/

Eien tCat urface Tension of >iuid? 4dynescm6!A(414TTc66@n

Acetone

A! /&.&

Tc! #0%.&

n! 1.1&'

Isopropanol

A! /#.$3

Tc! #0%.31

n! 1.&&&&

for #minutes 7olumetric flo9 rate of oerCead apor

m3 11.3$""3"11

urface Tension of >iuid? ? regression coefficients



,DB floors



f4x6 ! 0.#"%"0'$#$#x@3 1."%1'3#$$"#x@& A

,-uilibrium "iagram for the Acetone



0.00 0.10 0.&0 0.30 0.'0 0.#0

)ole *raction of Acetone in



ol System at ./.(0kPa



&.&0&/#0%'&'x A 0.003031'/$#

and Isopropanol System at ./.(0kPa



./0 0."0 0.%0 0.$0 1.00

i-uid2 acetone



Flo9 rate of feed 1%.$'&00/0/ >s

0.01%$'&00/ m3s

I. )olumn Diameter I. )olumn 8adiu 2area ,eigCt of column for 1#minutes feed flo9

0.0# 0.0&# 0.001$/3'$# %/%&.3"/0&10"##

0.1 0.0# 0.00"%#3$%& &1"0.#$'00#&/%$0.1# 0.0"# 0.01"/"1'#$ $/'."0%''/"%/&

0.& 0.1 0.031'1#$&" #'&./'%#0131"&

0.&# 0.1&# 0.0'$0%"3%# 3'".&$#0'0%'3

0.3 0.1# 0.0"0/%#%3# &'1.1""111/$/#

0.3# 0.1"# 0.0$/&11&"# 1"".1$13'"3/%$

0.' 0.& 0.1&#//3"0/ 13#.//&1&#3&$3

0.'# 0.&&# 0.1#$0'31&% 10".1%$%&"'&0"

0.# 0.&# 0.1$/3'$#'1 %/.%&3"/0&10%

0.## 0.&"# 0.&3"#%&$'' "1."##1"3"&"$

0./ 0.3 0.&%&"'333$ /0.&$'&""$&'1

0./# 0.3&# 0.331%30"&' #1.3"#00/0'1$

0." 0.3# 0.3%'%'#1 ''.&$"%3/%'&&0."# 0.3"# 0.''1"%/'/" 3%.#%%33"%"1'

0.% 0.' 0.#0&/#'%&# 33.$1##3133&3

0.%# 0.'&# 0.#/"'#01"3 30.0'&%&3/0&3

0.$ 0.'# 0./3/1"&#1& &/."$"'#/%##&

0.$# 0.'"# 0."0%%&1%'& &'.0#0$0310##

1 0.# 0."%#3$%1/3 &1."0#$'00#&"

1.0# 0.#&# 0.%/#$01'"# 1$./%"$&"'%#'

1.1 0.## 0.$#0331""% 1".$3%"$3'3&

1.1# 0.#"# 1.03%/%$0"1 1/.'1&%0$113/

1.& 0./ 1.130$"33## 1#.0"3#/$'%1

1.&# 0./&# 1.&&"1%'/3 13.%$1%01/33"

1.3 0./# 1.3&"3&&%$/ 1&.%'3"#1#10#1.3# 0./"# 1.'313%%1#3 11.$0$$%0%&'#

1.' 0." 1.#3$3%0' 11.0"''#$&10/

1.'# 0."&# 1./#1&$$/3$ 10.3&3%"1/0/#

1.# 0."# 1."/"1'#%/% $./'"0%''/"$

1.## 0.""# 1.%%/$1$0%% $.03'"30#11

1./ 0.% &.010/1$&$% %.'"%%%&%331

1./# 0.%&# &.13%&'/# ".$"&"$"0%0$

1." 0.%# &.&/$%00/$& ".#10"0#$00/

1."# 0.%"# &.'0#&%1%"# ".0%"/#3%$'%

1.% 0.$ &.#''/$00'$ /./$$3/'&13%

1.%# 0.$&# &./%%0&#&1' /.3'&13003"3

1.$ 0.$# &.%3#&%"3" /.01&"&#""/'1.$# 0.$"# &.$%/'"/#1/ #."0%33'00'"

& 1 3.1'1#$&/#' #.'&/'%#013&

&.0# 1.0&# 3.300/3#"%& #.1/#00/##/3

&.1 1.0# 3.'/3/0#$01 '.$&1$%1%"1'

&.1# 1.0"# 3./30#0301 './$#"1''#1/

&.& 1.1 3.%013&"111 '.'%'/$%3#%

&.&# 1.1&# 3.$"/0"%&0& '.&%"#$30$/%



&.3 1.1# '.1#'"#/&%' '.103&0&&"%'

&.3# 1.1"# '.33"3/13#" 3.$30'##'1$&

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