indrianti susanto_21080114120038_a (responsi 1 dan 2)

21
 Nama : Indrianti Susanto  NIM : 21080114120038 SATUAN OPERASI (KEAS A! RESPONSI 1 MK SATUAN OPERASI 1. Apabila diketahui: Vs = 1 18 .  g ( Ss 1 ) . dp 2 υ  (huk u St!k e"# aka $aba %ka& ku%'a hubu&$a& a&ta%a keepata& e&$e&dap pa%tikel disk%it te%hadap tepe%atu% ai% pada ali%a& lai&e% N%e ) 1. *p = +#, # Ss = ,#-. /atata&: buatlah t%ial de&$a& %a&$e suhu a&ta%a 0 ! / 23 ! /. Pe&4elesaia& : Untu" a#iran #amin$r Nr$ % 1& ma"a "o$'isi$n dra ) *  + 24,Nr$- s$.ina: /aunan $r.itunan aa raitasi d$nan aa dra 'ri"si untu" arti"$# s.$ria#& m$n.asi#"an 'ormu#a s:   + ((4,3) * !5((6    7 6 !,6 !5d! 1,2  atau   + ((4,3) * !5(s   91!5d! 1,2 s + 1 18 .  g ( Ss 1 ) . dp 2 υ s +; 4. 3 g ( Ss 1 ) dp Cd < s 2 + 4 3 g ( Ss1 ) dp 24  Nre s 2 + 1 18 g ( Ss1 ) dp v  Vs.dp s  + 1 18 g ( Ss1 ) v  dp 2  5555555 (=u"um Sto"$! >i"a t$m$ratur nai"& ma"a is"ositas "in$matis a"an turun& s$.ina daat diuat "ura antara t$m$ratur dan "$$atan m$n$nda arti"$# d$nan $rsamaan : s  + 1 18 9,81 ( 2,65 1 ) v  ( 0,0002 m) 2 s + 2,18 x 10 9 ( 2,65 1) 1 v T$m$ratur $ is"ositas *$nsita s s (m,s! 4 1&?@@ 1 2&2B4?BE90B @ 1&42@ 0&BBBB 2&442@2E90B 10 1&3101 0&BBB3 2&4??BE90B 14 1&1?@ 0&BBB2 3&0?B1E90B 18 1&0@18 0&BB8@2 3&38@4E90B 22 0&B@2B 0&BB8 3&3??BE90B 2@ 0&84 0&BB@81 4&0BB@1E90B 30 0&803B 0&BB?@8 4&4444E90B

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Page 1: Indrianti Susanto_21080114120038_a (Responsi 1 Dan 2)

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

RESPONSI 1 MK SATUAN OPERASI

1. Apabila diketahui: Vs =1

18. g (Ss−1 ) . dp2

υ   (huku St!ke"# aka $aba%ka&

ku%'a hubu&$a& a&ta%a keepata& e&$e&dap pa%tikel disk%it te%hadap tepe%atu%

ai% pada ali%a& lai&e% N%e ) 1. *p = +#, # Ss = ,#-.

/atata&: buatlah t%ial de&$a& %a&$e suhu a&ta%a 0 !/ 23 !/.

Pe&4elesaia& :

Untu" a#iran #amin$r Nr$ % 1& ma"a "o$'isi$n dra )* + 24,Nr$- s$.ina:/aunan $r.itunan aa raitasi d$nan aa dra 'ri"si untu" arti"$# s.$ria#&

m$n.asi#"an 'ormu#a s:  + ((4,3)*!5((6  7 6!,6!5d!1,2 atau   + ((4,3)*!5(s 91!5d!1,2

s +1

18. g (Ss−1 ) . dp2

υ

s +;4.

3

g (Ss−1 )dpCd <

s2 +4

3

g ( Ss−1 ) dp

24 Nre

s2 +1

18

g (Ss−1 )dpv   Vs.dp

s +1

18

g (Ss−1 )v

  dp2

 5555555 (=u"um Sto"$!

>i"a t$m$ratur nai"& ma"a is"ositas "in$matis a"an turun& s$.ina daat diuat "ura

antara t$m$ratur dan "$$atan m$n$nda arti"$# d$nan $rsamaan :

s +1

18

9,81 (2,65−1 )v

  (0,0002m)2

s + 2,18 x10

−9

(2,65−1)

1

v

T$m$ratur $

is"ositas*$nsita

ss (m,s!

4 1&?@@ 1 2&2B4?BE90B@ 1&42@ 0&BBBB 2&442@2E90B

10 1&3101 0&BBB3 2&4??BE90B14 1&1?@ 0&BBB2 3&0?B1E90B18 1&0@18 0&BB8@2 3&38@4E90B

22 0&B@2B 0&BB8 3&3??BE90B2@ 0&84 0&BB@81 4&0BB@1E90B30 0&803B 0&BB?@8 4&4444E90B

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

0 5 10 15 20 25 30 35

0

0

0

0

0

0

Hubungan Temperature dan Vs

Vs

Temperature

Semakin tinggi temperature, maka semakin cepat pengendapan partikel diskritnya5

,. Apabila diketahui: Vs =1

18. g (Ss−1 ) . dp2

υ   (huku St!ke"# aka $aba%ka&

ku%'a hubu&$a& a&ta%a keepata& e&$e&dap pa%tikel disk%it te%hadap diaete%

pa%tikel pada ali%a& lai&e% N%e ) 1# pada tepe%atu% ,5 !/# Ss = ,#-.

Pe&4elesaia&:

Untu" a#iran #amin$r Nr$ % 1& ma"a "o$'isi$n dra )* + 24,Nr$- s$.ina:/aunan $r.itunan aa raitasi d$nan aa dra 'ri"si untu" arti"$# s.$ria#&

m$n.asi#"an 'ormu#a s:  + ((4,3)*!5((6  7 6!,6!5d!1,2 atau   + ((4,3)*!5(s 91!5d!1,2

s +1

18. g (Ss−1 ) . dp2

υ

s +;

4.

3

g ( Ss−1 )dp

Cd <

s2 +4

3

g ( Ss−1 ) dp

24 Nre

s2 +1

18

g (Ss−1 )dpv

  Vs.dp

s +1

18

g (Ss−1 )v

  dp2

 5555555 =u"um Sto"$

>i"a t$m$ratur nai"& ma"a is"ositas "in$matis a"an turun& s$.ina daat diuat "ura

antara t$m$ratur dan "$$atan m$n$nda arti"$# d$nan $rsamaan :

s +1

18

9,81 (2,65−1 )0,00000082619

(dp)2

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

*p (" Vs (6s"

050001 05010B050002 05043?050003 050B80050004 0514105000? 0522105000@ 053B1805000 05?333050008 05@B@@

1E-40.0000

0.2000

0.4000

0.6000

0.8000

Grafk Hubungan Vs dan Dp

Vs (m/s)

Diameter Partikel Dp (m)

Kecepatan pengendapan, Vs (m/s)

Semakin besar diameter partikel, maka semakin cepat pengendapan partikel diskrit 

2. 7itu&$lah e8isie&si pe&$e&dapa& pa%tikel disk%it pada bak pe&$e&dap 4a&$

epu&4ai dp = +#, # 9s = ,#- pada k!&disi tepe%atu% ,- !/ da& N%e =

1.++. *ebit bak pe&$e&dap = ,++ ;6detik da& luas pe%ukaa& bak As = 2.+++,.

Pe&4elesaia& :

*i"$ta.ui :

 Nr$ + 15?00 à )* + 0&4

T + 2@ o) à 6 + 0&BB@81 ram,m3

 2 +(4,3)*!5(s 91!5d (&e<t!&"

+ 0&011 m,d$ti" 

C + 200 ,d$ti" + 0&2 m3,d$ti" 

A + 3000 m2

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

M$n.itun o

o + C,A + 0&2 m3,d$ti" , 3000 m2 + @&@5109? m,d$ti" + 0&00@ m,d$ti" 

Ma"a s D o- ma"a arti"$# m$n$nda 100 untu" u"uran d + 0&2 mm& s$.ina

$'isi$nsi $n$ndaan arti"$# dis"rit ada#a. 100

0. Suatu bak pe&$e&dap h!%i!&tal de&$a& uku%a& pa&>a&$ ; = -+ # leba% ? = 1+ #

kedalaa& 7 = , # e&$!lah ai% pada debit = 1++ ;6detik# T = ,- !/. 7itu&$lah:

a. ?eba& pe%ukaa&6su%8ae l!adi&$ %ate6OVR@

b. ?ila&$a& Re4&!ld da& bila&$a& %!ude@

. ?a$aia&a uku%a& 4a&$ pali&$ baik u&tuk e&$hasilka& N%e da& N8% 4a&$ lebih

baik@

Pe&4elesaia& :

a! r + ?0 & di$ro#$. s + So + 1 mm,d$ti" 

So + =,To + =5C, + =5C,=5A + C,ASo + C,A

1 mm,d$ti" + ?0051093 , A

A + ?00 m2

R (! So (mm , d$ti"! A (m2!?0 1 10@0 0&8 80 0&@ @80 0&48 4&8

B0 0&3? 3&?100 0&2 2

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

1 2 3 4 5 6 7 8 9 10 110

50

100

150

Hubungan Efsiensi Rem!al dg "uas #ak 

 

$ (m%)

r (&)

OR + C , A

OR + 0&1 m3,d$ti" : 10 m2 + 0&01 m,d$ti" + 5-0 6>a

 ! K$$atan =oriFonta# Parti"$# +Q

 L xH  =

  0,1m3/ s(10 x2 )m2

=5 x10−3m /s

R + L x H 

 L+2 H =

  10 x 2

10+(2 x2)=1,43m

 Nr$ +VHx R

υ  +0,005 x 1,43

0,893 x 10−6=8006,72  (tida" m$m$nu.i!

 NGr +VH 

2

g x R=

  0,0052

9,81 x1,43=1,782 x10

−6

 (tida" m$m$nu.i!

! P$r#u $nama.an #at$ s$tt#$r ada a" s$dim$ntasi :

K$$atan a#iran masu" #at$

o +Q / Asinα =

0,01m /detik 

sin 60 =0,012m /detik 

*im$nsi P#at$

# +h

sinα   +2

sin60=2,31m

. + 2 m

+ 0&0? m

t + 0&00? m

>um#a. P#at$

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

>ara" =oriFonta# antar#at$& H +w

sin60=0,05m

sin60=0,06m

>um#a. P#at$& n + P

 x  +60

0,06=1000buah

>ari 7 >ari .idro#is & R +w

2=

0,05m

2=0,025m

)$" i#anan R$no#ds& & NR$ + Vo x R

υ  =

0,012m

s  x0,025m

0,893 x 10−6

  =335(! )

)$" i#anan Groud& NGr +  Vo2

g x R=

  0,0122

9,81 x 0,025  + 5,872 x 10−4

 (OK!

. Suatu bak p%asedie&tasi be%uku%a& ; ? 7 = 5+ ,+ 0 . Apabila aka&

di$u&aka& u&tuk e&$!lah ai% de&$a& beba& pe%ukaa& +#, ;6detik.,. B =

+#++5330 ,6detik.

a. 7itu&$lah be%apa debit 4a&$ dapat di!lah@

b. 7itu&$lah N%e da& N8%@

. *e&$a& 6As 4a&$ saa# ubahlah !&e i&let da& !utlet bak pe&$e&dap te%sebut

u&tuk e&dapatka& N%e da& N8% 4a&$ lebih baik@

d. ?uatlah !di8ikasi bak u&tuk e&dapatka& N%e ) ,.+++.

e. *ebit

Pe&4elesaia& :

Asumsi Td + 2 Jam + 200 d$ti" 

C + o#um$ , Td + ( H # ! , Td + ( 80 m H 20 m H 4 m ! , ( 200 d$ti" ! + 0&88 m 3,s$"on

'5 NRE dan NGR 

K$$atan .oriFonta#

. + C : ( H = ! + ( 0&88 m3,d$ti" ! : ( 20 m H 4 m ! + 0&011 m,s

>ari9Jari .idro#is

R + ( H = ! : ( 2 = ! + ( 20 m H 4 m ! : ( 20 m 2 5 4 m ! + 2&8? m

i#anan R$no#d NRE + ( . 5 R ! :

 NRE + ( 0&011 m,s H 2&8? m ! : ( 0&8?8@1 H 109@!

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

 NRE + 3@5@02&18 ( 1039104 s$.ina tida" m$m$nu.i !

i#anan Groud

 NGR + ( .2! : ( H R ! + (0&011 m,s !2 : ( B&81 m,s2 H 2&8? m !

 NGR   + 4&32 H 109@ % 109? ( tida" m$m$nu.i !

5 Lona In#$t

C!&a i&let

In#$t diuat dari u"aan dindin aian aa.5

r$nana 3 m,s ( *armas$tiaan& 2001 !

*iami# i + 051 m,s

uan in'#u$n $r$ntu" $rs$i anJan d$nan Jum#a. 4 ua.5PanJan sa#uran + #$ar a" + 20 m

C$r#uan + C , 4 + 0&88 , 4 + 0&22 m3,dt

uas #uan ( Ai ! + 0522 , 051 + 2&2 m2

Tini #uan + a"ar 2&2 + 1&48 m

$ar sa#uran + tini sa#uran + 05? m

>ara" antar #uan& F

20 + (10 H 05? ! (101! FF + 1&4 m

K$$atan .oriFonta#

. + C , ( H = ! + 0&22 , ( 20 H 0&? ! + 0&022 m,s

>ari9Jari .idro#is

R + m

 NRE + ( . H R ! , + (0&022 H 0&1! , ( 0&8?81 H 109@! NRE + 43?8&4@ (1039104 s$.ina m$m$nu.i !

.5 Modi'i"asi a" d$nan Lona In#$t

C!&a i&let

In#$t diuat dari u"aan dindin aian aa.5

r$nana 3 m,s ( *armas$tiaan& 2001 !

*iami# i + 051 m,suan in'#u$n $r$ntu" $rs$i anJan d$nan Jum#a. 40 ua.5

PanJan sa#uran + #$ar a" + 20 m

 H  L

 LxH 

2+1A&0

?&02?&0

?&0?&0=

+   x

 x

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

C$r#uan + C , 40 + 0&88 , 40 + 0&022 m3,dt

uas #uan ( Ai ! + 05022 , 051 + 0&22 m2

Tini #uan + a"ar 0&22 + 0&4 m

$ar sa#uran + tini sa#uran + 05? m

>ara" antar #uan& F

20 + (10 H 05? ! (101! F

F + 1&4 m

K$$atan .oriFonta#

. + C , ( H = ! + 0&022 , ( 20 H 0&? ! + 0&0022 m,s

>ari9Jari .idro#isR + m

 NRE + ( . H R ! , + (0&0022 H 0&1! , ( 0&8?81 H 109@!

 NRE + 43?&84@ ( % 2000 s$.ina m$m$nu.i !

-. Re&a&aka& die&si bak p%asedie&tasi de&$a& kapasitas = ;6detik = +#+

26detik. Kete&tua& lai& adalah sbb:

 

?e&tuk rectangle de&$a& ;:? = 0:1

 

Kedalaa& bak = 0

 

Td = 1D2 >a

 

Vs = +#1 6detik 

 

V!:6A = ,#1 (& = 162 da& 6! = 5+F"

 

N%e pa%tikel ) 1

 

N%e ali%a& ) ,.+++

Pe&4elesaia& :

M$n$ntu"an *im$nsi a" 

Asumsi& ?0 + 3@ m,.ari + 0&1@ H 1094m,d$ti" 

uas P$rmu"aan (As! + C , OR + 0&0?? m3,d$ti" , 0&1@ H 1094m,d$ti" + 32B3&41 m2

P$randinan PanJan dan $ar a" 4 : 1

P H + 32B3&41 m2

4 H + 32B3&41 m2

+ 2B m

 H  L

 LxH 

2+1A&0

?&02?&0

?&0?&0=

+   x

 x

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

P + 2B H 4 + 11@ m

)$" OR + C , ( H P! + 0&0?? m3,d$ti" , (2B H 11@! + 1&@3 H 109? m ,d$ti" + 1&41

)$" a"tu d$t$nsi

o#um$ a" + 11@ H 2B H 4 + 1354?@ m 3

Td + , C + 1354?@ m3 , 0&0?? m3,d$ti" + 2445@?4 d$ti" + @8 Jam

RESPONSI SE*IMENTASI

/ase 1

a! *$t$ntion $riod: 'or #ain s$dim$ntation: 3 to 4 .& and 'or oau#at$d s$dim$ntation:2 to 25? .5

 ! $#oit o' '#o: Not r$at$r t.an 30 m,min (.oriFonta# '#o!5

! Tan" dim$nsions: : + 3 to ?:15 /$n$ra## + 30 m (ommon! maHimum 100 m5r$adt.+ @ m to 10 m5 )iru#ar: *iam$t$r not r$at$r t.an @0 m5 $n$ra## 20 to 40m5

d! *$t. 25? to ?50 m (3 m!5

$! Sur'a$ O$r'#o Rat$: Gor #ain s$dim$ntation 12000 to 18000 ,d,m2 tan" ar$a- 'or t.orou.# '#ou#at$d at$r 24000 to 30000 ,d,m2 tan" ar$a5

'! S#o$s: R$tanu#ar 1 toards in#$t and iru#ar 85

P!pulati!& !%east b4 *i88e%e&t Meth!ds

P%!ble: Pr$dit t.$ ou#ation 'or t.$ $ars 1B81& 1BB1& 1BB4& and 2001 'rom t.$ 'o##oin$nsus 'iur$s o' a ton di''$r$nt m$t.ods5

$ar 1B01 1B11 1B21 1B31 1B41 1B?1 1B@1 1B1

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Pou#ation:(t.ousands

!

@0 @? @3 2 B 8B B 120

S!luti!&:

$ar Pou#ation:(t.ousands!

Inr$m$nt $r *$ad$

Inr$m$nta#Inr$as$

P$r$nta$ Inr$m$nt $r *$ad$

1B01 @0 9 9 9

1B11 @? ? 9 (?@0! H100+8533

1B21 @3 92 93 (2@?! H100+9350

1B31 2 B (B@3! H100+14528

1B41 B 92 (2! H100+B52

1B?1 8B 10 3 (10B! H100+125@@

1B@1 B 8 92 (88B! H100+85B8

1B1 120 23 1? (23B! H100+2351

 N$t a#u$s1

@0 18 45@1

A$ra$s9

85? 350 105@@

+inr$as$- 9 + d$r$as$

 Arithmetical Progression Method:

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Pn + P ni

A$ra$ inr$as$s $r d$ad$ + i + 85?

Pou#ation 'or t.$ $ars&

1B81+ ou#ation 1B1 ni& .$r$ n+1 d$ad$

  + 120 85? + 1285?

1BB1+ ou#ation 1B1 ni& .$r$ n+2 d$ad$

  + 120 2 H 85? + 13514

2001+ ou#ation 1B1 ni& .$r$ n+3 d$ad$

  + 120 3 H 85? + 14?51

1BB4+ ou#ation 1BB1 (ou#ation 2001 9 1BB1! H 3,10

  + 13514 (85?! H 3,10 + 13B51

 Incremental Increase Method:

Pou#ation 'or t.$ $ars&

1B81+ ou#ation 1B1 a$ra$ inr$as$ $r d$ad$ a$ra$ inr$m$nta# inr$as$

  + 120 85? 350 + 1315?

1BB1+ ou#ation 1B81 115?

  + 1315? 115? + 143514

2001+ ou#ation 1BB1 115?

  + 143514 115? + 1?451

1BB4+ ou#ation 1BB1 115? H 3,10

  + 143514 354 + 14@5@1

Geometric Progression Method:

A$ra$ $r$nta$ inr$as$ $r d$ad$ + 105@@

P n + P (1i,100! n

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Pou#ation 'or 1B81 + Pou#ation 1B1 H (1i,100! n

+ 120 H (1105@@,100!& i = 10.66, n = 1

+ 120 H 1105@@,100 = 13258

Pou#ation 'or 1BB1 + Pou#ation 1B1 H (1i,100! n

+ 120 H (1105@@,100! 2 & i = 10.66, n = 2

+ 120 H 15224? = 14@5B?

Pou#ation 'or 2001 + Pou#ation 1B1 H (1i,100! n

+ 120 H (1105@@,100! 3 & i = 10.66, n = 3

+ 120 H 153?? = 1@25@0

Pou#ation 'or 1BB4 + 14@5B? (1?584 H 3,10! + 1?150

 Sedimentation Tank Design

P%!ble: *$sin a r$tanu#ar s$dim$ntation tan" to tr$at 254 mi##ion #itr$s o' ra at$r $rda5 T.$ d$t$ntion $riod ma $ assum$d to $ 3 .ours5

S!luti!&: Ra at$r '#o $r da is 254 H 10@ #5 *$t$ntion $riod is 3.5

o#um$ o' tan" + G#o H *$t$ntion $riod + 254 H 103 H 3,24 + 300 m3

Assum$ d$t. o' tan" + 350 m5

Sur'a$ ar$a + 300,3 + 100 m2

, + 3 (assum$d!5 + 35

  32 + 100 m2 i5$5 + ?58 m

  + 3 + ?58 3 + 154 m

=$n$ sur'a$ #oadin (O$r'#o rat$! + 254 H 10@ + 24&000 #,d,m2 % 40&000 #,d,m2 (OK!100

 Rapid Sand Filter Design

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P%!ble: *$sin a raid sand 'i#t$r to tr$at 10 mi##ion #itr$s o' ra at$r $r da a##oin05? o' 'i#t$r$d at$r 'or a"as.in5 =a#' .our $r da is us$d 'or a"as.in5 Assum$n$$ssar data5

S!luti!&: Tota# 'i#t$r$d at$r + 1050? H 24 H 10@ + 0542@@ M# , .24 H 235?

$t t.$ rat$ o' 'i#tration $ ?000 # , . , m 2 o' $d5

Ar$a o' 'i#t$r + 1050? H 10@ H 1 + 8?5? m2 235? ?000

Proid$ to units5 Ea. $d ar$a 8?5?,2 + 4255 , + 153- 1532 + 425

+ ?5? m - + ?5? H 153 + 5? m

Assum$ d$t. o' sand + ?0 to ? m5

Und$rdraina$ sst$m:

Tota# ar$a o' .o#$s + 052 to 05? o' $d ar$a5

Assum$ 052 o' $d ar$a + 052 H 425 + 0508@ m2

  100

Ar$a o' #at$ra# + 2 (Ar$a o' .o#$s o' #at$ra#!

Ar$a o' mani'o#d + 2 (Ar$a o' #at$ra#s!

So& ar$a o' mani'o#d + 4 H ar$a o' .o#$s + 4 H 0508@ + 05344 + 053? m2 5

  *iam$t$r o' mani'o#d + H 053?  Q 1,2 + @@ m

Assum$ , o' #at$ra# + 30 m5 Tota# num$rs + 5?, 053 + 2? on $it.$r sid$5

$nt. o' #at$ra# + ?5?,2 9 05@@,2 + 25?4? m5

)5S5 ar$a o' #at$ra# + 2 H ar$a o' $r'orations $r #at$ra#5 Ta"$ dia o' .o#$s + 13 mm

 Num$r o' .o#$s: n (153!2 + 0508@ H 104 + 8@0 m2

  4

n +  4 H 8@0 + @48& sa @?0   (153!2

 Num$r o' .o#$s $r #at$ra# + @?0,?0 + 13

Ar$a o' $r'orations $r #at$ra# + 13 H  (153!2 ,4 + 1524 m2

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Sain o' .o#$s + 25?4?,13 + 1B5? m5

)5S5 ar$a o' #at$ra# + 2 H ar$a o' $r'orations $r #at$ra# + 2 H 1524 + 345? m 25

   *iam$t$r o' #at$ra# + (4 H 345?Q 1,2 + @5@3 m

).$": $nt. o' #at$ra# % @0 d + @0 H @5@3 + 35B8 m5 # + 25?4? m (=$n$ a$ta#$!5

Risin as.at$r $#oit in $d + ?0 m,min5

as.at$r dis.ar$ $r $d + (05?,@0! H ?5? H 5? + 053@ m3,s5

$#oit o' '#o t.rou. #at$ra# + 053@ + 053@ H 10 4 + 2508 m,s (o"!  Tota# #at$ra# ar$a ?0 H 345?

Mani'o#d $#oit + 053@ + 1504 m,s % 252? m,s (o"!0534?

as.at$r utt$r 

*is.ar$ o' as.at$r $r $d + 053@ m3,s5 SiF$ o' $d + 5? H ?5? m5

Assum$ 3 trou.s runnin #$nt.is$ at ?5?,3 + 15B m ,5

*is.ar$ o' $a. trou. + C,3 + 053@,3 + 0512 m3,s5

  C +151 H H .3,2

Assum$ +053 m

  .3,2 + 0512 + 05234151 H 053

   . + 0538 m + 358 m + 40 m

  + 40 ('r$$ oard! ? m + 4? m- s#o$ 1 in 40

)#$ar at$r r$s$roir 'or a"as.in

Gor 4 . 'i#t$r aait& )aait o' tan" + 4 H ?000 H 5? H ?5? H 2 + 12? m3

  1000

Assum$ d$t. d + ? m5 Sur'a$ ar$a + 12?,? + 34? m2

, + 2- 22 + 34?- + 13 m + 2@ m5

*ia o' in#$t i$ omin 'rom to 'i#t$r + ?0 m5

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

$#oit %05@ m,s5 *iam$t$r o' as.at$r i$ to o$r.$ad tan" + @5? m5

Air omr$ssor unit + 1000 # o' air, min, m2 $d ar$a5

Gor ? min& air r$uir$d + 1000 H ? H 5? H ?5 H 2 + 4532 m3 o' air5

Flow in Pipes of a Distribtion !etwork b" #ard" $ross Method 

P%!ble: )a#u#at$ t.$ .$ad #oss$s and t.$ orr$t$d '#os in t.$ arious i$s o' a

distriution n$tor" as s.on in 'iur$5 T.$ diam$t$rs and t.$ #$nt.s o' t.$ i$s us$d ar$i$n aainst $a. i$5 )omut$ orr$t$d '#os a't$r on$ orr$tions5

S!luti!&: Girst o' a##& t.$ manitud$s as $## as t.$ dir$tions o' t.$ ossi#$ '#os in $a. i$ ar$ assum$d "$$in in onsid$ration t.$ #a o' ontinuit at $a. Juntion5 T.$ to#os$d #oos& A)* and )*EG ar$ t.$n ana#F$d =ard )ross m$t.od as $r ta#$s 1 2r$s$ti$#& and t.$ orr$t$d '#os ar$ omut$d5

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Table 1

  /!&side% l!!p A?/*

Pi$ Assum$d '#o *ia o' i$ $nt.o' i$

(m!

K + 40 d458

Ca158? =+

K5Ca158?

#=,Ca#

 in

#,s$in

um$sd inm

d458

(1! (2! (3! (4! (?! (@! (! (8! (B! (10!

A

)

)*

*A

(!43

(!23

(9! 20

(9! 3?

05043

05023

905020

90503?

0530

0520

0520

0520

258?1093

35B?1094

35B?1094

35B?

1094

?00

300

?00

300

33

1@1?

2@B0

1@1?

3 1093

B541094

521094

2 1093

1512

15?2

915B4

93523

2@

@@

B

B2

  925?3 281

V =+ (Ca158?!,(050B4 H 100 158?  d458!

or K5Ca158?+ (Ca

158?!,(40 d458!or K +(!,(40 d458!

Gor #oo A)*& $ .a$ +9 =  , H5 #= ,Ca#

  +(9! 925?3,(158? 281! um$s

  +(9! (925?3 1000!,(158? 281! #,s

  +458@ #,s +? #,s (sa!

=$n$& orr$t$d '#os a't$r 'irst orr$tion ar$:

Pi$ A ) )* *A

)orr$t$d '#os a't$r 'irst

orr$tion in #,s 48 28 9 1? 9 30

 

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Table ,

  /!&side% l!!p */E

Pi$ Assum$d '#o *ia o' i$ $nt.o' i$

(m!

K + 40 d458

Ca158? =+

K5Ca158?

#=,Ca#

 in

#,s$in

um$sd inm

d458

(1! (2! (3! (4! (?! (@! (! (8! (B! (10!

*)

)G

GE

E*

(! 20

(! 28

(9! 8

(9! ?

05020

05028

905008

90500?

0520

051?

051?

051?

35B? 109

4

B5 109?

B5 109?

B5 109?

?00

300

?00

300

2@B0

@?80

10B40

@?80

52 1094

1534 109

3

1534 109

4

?5@ 109?

15B4

8580

9154

9053

B

314

184

4

  85B @@B

Gor #oo A)*& $ .a$ +9 =  , H5 #= ,Ca#

  +(9! 85B,(158? @@B! um$s

  +(9! (85B 1000!,(158? @@B!! #,s

  + 952 #,s

=$n$& orr$t$d '#os a't$r 'irst orr$tion ar$:

Pi$ *) )G GE E*

)orr$t$d '#os a't$r 'irstorr$tion in #,s

1258

2058

91?52

91252

 

T%ikli&$ ilte% *esi$&

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

Pro#$m: *$sin a #o rat$ 'i#t$r to tr$at @50 M#d o' s$a$ o' O* o' 210 m,#5 T.$ 'ina#$''#u$nt s.ou#d $ 30 m,# and orani #oadin rat$ is 320 ,m3,d5

So#ution: Assum$ 30 o' O* #oad r$mo$d in rimar s$dim$ntation i5$5& + 210 H 0530 +@3 m,#5 R$mainin O* + 210 9 @3 + 14 m,#5P$r$nt o' O* r$moa# r$uir$d + (14930! H 100,14 + 80

O* #oad a#i$d to t.$ 'i#t$r + '#o H on5 o' s$a$ (",d! + @ H 10 @ H 14,10@ + 882 ",d

To 'ind out 'i#t$r o#um$& usin NR) $uationE2+ 100

10544( F 1.!",15R' 1!1,2

80 + 100 R' 1+ 1& $aus$ no iru#ation510544(##2,1!1,2

1+ 204 m3

*$t. o' 'i#t$r + 15? m& Git$r ar$a + 204,15? + 18025@@ m2& and *iam$t$r + 48 m % @0 m

=drau#i #oadin rat$ + @ H 10@,103 H 1,18025@@ + 3533m3,d,m2 % 4 .$n$ o5"5

Orani #oadin rat$ + 882 H 1000 , 204 + 32@518 ,d,m3 .i. is aroH5 $ua# to 3205

/ase ,

Tim$& min 0 @0 80 100 130 200 240 420

)on5& m, 300 18B 180 1@8 1?@ 111 8 2

.at is t.$ r$moa# $''ii$n in a s$tt#in asin it. a #oadin rat$ o' 2? m3 ,m2 Vd (m,d!W15 )a#u#at$ mass 'ration r$mainin and orr$sondin s$tt#in rat$s5

Tim$(min!

@0 80 100 130 200 240 420

MGr$mainin

05@3 05@0 05?@ 05?2 053 052@ 050B

t H 1092(m,min!

353 25? 250 15?? 150 0583 054

.$r$& mass 'ration (MG! r$mainin + )i ,)o and t + Lo ,t

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 Nama : Indrianti Susanto NIM : 21080114120038SATUAN OPERASI (KEAS A!

25 P#ot mass 'ration r$mainin s s$tt#in $#oit as s.on in Giur$ 4

35 *$t$rmin$ $#oit (o !& .i. $ua#s sur'a$ #oadin rat$ + 2? m3 ,m2 9d (15 H 1092

m,min!

45 *$t$rmin$ 'rom ra. ro + ?4 5

?5 Int$rat$ ur$

@5 R$moa# $''ii$n (R! + 1 9 ro XInt$rat$d Ar$aY

E#$m$nt Zr t H 1092 Zr[t H 10921 0502 15@ 05032 051? 152? 051B3 0511 05B1 05104 051 05@@ 0511? 050B 0524 0502

Tota# + 054?

R$moa# + (1 9 05?4! 054?,15

+ 054@ 052@

+ 052 or 2

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/ase 2

A sin#$ r$tanu#ar s$dim$ntation asin is to $ d$sin$d to tr$at a at$r '#o o' 15? M/*at t.$ d$sin o$r'#o rat$ o' B00 d,'t2 5

15 *$t$rmin$ t.$ asin dim$nsions (idt.& #$nt.& d$t.! 'or a d$t$ntion tim$ o' 3 .ours anda #$nt. to idt. ratio o' 4 to 15

T.$ d$t. is d$t$rmin$d t.$ ar$a Just a#u#at$d and t.$ o#um$& .i. $ an $t 'romt.$ '#o and r$t$ntion tim$5

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25 I' t.$ s$dim$ntation tan" $.a$s #i"$ an id$a# #u '#o r$ator& i## a## arti#$s it. a@? miron (109@ m! diam$t$r (or r$at$r! and a d$nsit o' 1200 ",m3 $ om#$t$#r$mo$d t.$ id$a# s$dim$ntation tan"W (at$r t$m$ratur$ is 10 \)! Pro$ our ans$ruantitati$#5

35 I' t.$ '#o rat$ to t.$ s$dim$ntation tan" inr$as$s& r$su#tin in a .i.$r o$r'#o rat$&ou#d t.$ arti#$ r$moa# $''ii$n d$r$as$& sta t.$ sam$& or inr$as$W ri$'# $H#ain5

Parti#$ r$moa# $''ii$n ou#d d$r$as$& $aus$ t.$ o$r'#o rat$ ou#d inr$as$&narroin t.$ ran$ o' arti#$ s$tt#in $#oiti$s t.at ou#d $ 100 r$tain$d& andd$r$asin t.$ r$t$ntion on t.os$ arti#$s it. s$tt#in $#oiti$s ao$ t.$ o$r'#o$#oit5

45 Suos$ t.$ d$t. o' t.$ s$dim$ntation tan" as r$du$d ?0& and ou ou#d assum$disr$t$ arti#$ s$tt#in5 .at is t.$ $''$t on arti#$ r$moa# $''ii$n i' t.$ '#o rat$is un.an$d ('rom t.$ oriina# as$!W EH#ain our ans$r5

 No di''$r$n$& as #on as t.$ tan" as $.ain in an id$a# 'as.ion5 T.is is $aus$o$r'#o rat$ ditat$s s$tt#in $r'orman$& and it is on# a 'untion o' ar$a and '#o&

 ut not d$t.5 So ot. o$r'#o rat$ and t.$ sto"$s s$tt#in $#oiti$s i## r$mainun.an$d5