Tabel ANAVA Dua Jalur Untuk Larutan HCl Konsentrasi HCl (M)[B] Suhu ( C)[A]

  

L A M P I R A N

Lampiran 1. Data Hasil Pengukuran Hantaran Spesifik (mS) pada variasi Konsentrasi Larutan Elektrolit Kuat HCl (Asam Klorida)

  Konsentrasi HCl (M)

  Suhu (

  C)

  30

  40

  50 0,01 3,1 3,0 2,9

  3,1 3,1 3,0 3,2 3,2 3,0

  0,02 6,3 6,1 5,9 6,6 6,3 6,1

  6,1 5,9 5,9 0,03 8,1 8,1 7,8

  ∑Y

  ∑Y

  2

  13

  = 28,85 ₁₂ Y = 3,100 n

  13 = 3

  ∑Y

  13 = 8,9

  2

  ∑Y

  13

  = 26,41 ₁₃ Y = 2,967 n

  10 = 9

  ∑Y

  10 = 27,6

  ∑Y

  2

  10

  

12 = 9,3

  

12 = 3

  8,8 8,7 8,4 8,5 8,5 8,4

  0,01

  Lampiran 2. Tabel ANAVA Dua Jalur Untuk Larutan HCl

  Konsentrasi HCl (M)[B]

  Suhu ( C)[A] ∑B

  30[A

  1 ] 40[A

  

2

] 50[A

  3 ]

  [B

  = 29,46 ₁₁ Y = 3,130 n

  1 ]

  n

  11 = 3

  ∑Y

  11 = 9,4

  ∑Y

  2

  11

  = 84,72 ₁₀ Y = 3,067

  0,02 n = 3 n = 3 n = 3 n = 9

  21

  22

  23

  20 [B ]

  2 ∑Y 21 = 19 ∑Y 22 = 18,3 ∑Y 23 = 17,9 ∑Y 20 = 55,2

  2

  2

  2

  2

  ∑Y ₂₁ 21 = 120,46 ∑Y ₂₂ 22 = 111,71 ∑Y ₂₃ 23 = 106,83 ∑Y ₂₀ 20 = 339 Y = 6,333 Y = 6,100 Y = 5,967 Y = 6,1333

  0,03 n

  31 = 3 n 32 = 3 n 33 = 3 n 30 = 9 [B ]

  3 ∑Y = 25,4 ∑Y = 25,3 ∑Y = 24,6 ∑Y = 75,3

  31

  32

  33

  30

  2

  2

  2

  2

  ∑Y ₃₁ 31 = 215,3 ∑Y ₃₂ 32 = 213,55 ∑Y 33 = 201,96 ∑Y _{33 30} 30 = 630.81 Y = 8,467 Y = 8,433 Y = 8,2 Y = 8,367

  ∑A n

  01 = 9 n 02 = 9 n 03 = 9 n 00 = 27

  ∑Y

  01 = 53,8 ∑Y 02 = 52,9 ∑Y 03 = 51,4 ∑Y 00 = 158,1

  2

  2

  2

  2

  ∑Y = 365,22 ∑Y = 354,11 ∑Y = 335,2 ∑Y = 1054,53 ₀₁

  01 ₀₂

  02 ₀₃

  03

  00 ₀₀ Y = 5,978 Y = 5,8811 Y = 5,7111 Y = 5,856 Perhitungan Jumlah Kuadrat (JK) untuk setiap sumber varian :

  1) Jumlah Kuadrat Total (JK T )

  2 JK T = ∑Y 00 = 1054,33

  2) Jumlah Kuadrat Rerata/Koreksi (JK R ) _{2 2} Y

  ( ^{00 ) ( 158 ,} 1 ) ∑

  JK = 925,7633

  R = = n ₀₀

  27

  3) Jumlah Kuadrat Total di Reduksi (JK )

  TR

  JK TR = JK - JK R = 1054,33 – 925,7633 = 128,5667

  T

  4) Jumlah Kuadrat Antar Kelompok (JK A ) _{2 2 2 2 2} 

  

  ( Σ Y ) ( Σ Y ) ( Σ Y ) ( Σ Y ) ( Σ Y ) _{11 12 13 21 22}

• 

   n n n n n _{11 12 13 21 22} 

   JK A = _{2 2 2 2} − JK _R

   

  ( Σ Y ) ( Σ Y ) ( Σ Y ) ( Σ Y ) _{23 31 32 33}

   

• n n n n

   _{23 31 32 33}   _{2 2 2 2 2} 

   

  ( ) ( ) ( ) ( ) ( ) 9 ,

  4 9 ,

  3 8 ,

  9

  19 18 ,

  3

• 

  

  3

  3

  3

  3

  3   −

  9 25 , 7633 = _{2 2 2 2} =

    17 ,

  9

  25 ( ) ( , 4 ) ( 25 , 3 ) ( 24 , 6 )

• 

  

  3

  3

  3

  3  

  127,8267 5) Jumlah Kuadrat Antar Kolom (JK )

  Ak

  2 ²

²

   ( ∑ Y ) ( ∑ Y ) ( ∑ Y )  _{01 02 03} JK Ak = − JK + + _R   n n n _{01 02 03}

    _{2 2 2}

    ( 53 , 8 ) ( 52,9 ) ( 51,4 ) − + + 925,7633 = 0,3267

  =  

  9

  9

  9    

  6) Jumlah Kuadrat Antar Baris (JK Ab ) _{2 2 2}

    ( ∑ Y ) ( ∑ Y ) ( ∑ Y ) _{10 20 30} JK Ab = − JK + + _R

    n n n _{10 20 30}   _{2 2 2}

   ( 27 , 6 ) ( 55 , 2 ) ( 75 , 3 ) 

• − + 925 , 7633 = 127,4467

  =

   

  9

  9

  9  

  7) Jumlah Kuadrat Interaksi (JK

  I )

  JK

  I = JK A – JK Ak - JK Ab

  = 127,8267 – 0,3267 – 127,4467 = 0,0533 8) Jumlah Kuadrat Dalam Kelompok (JK )

  

D

  JK D = JK TR - JK A = 128,5667- 127,8267 = 0,74

  Perhitungan Derajat Bebas (db) Setiap Sumber Varian

  1) db = n = n =

  27 T

00 T

  db

  1 2) = _R 3) db = n − _{TR T} 1 = 27 − 1 =

  26 4) db = b × k − _{A ( ) ( )} 1 = 3 × 3 − 1 =

  8 5) db = k − _Ak 1 = 3 − 1 =

  2 db = b − 1 = 3 − 1 =

  2 6)

  Ab

  7) db = k − _{I ( ) ( ) ( ) ( )} 1 × b − 1 = 3 − 1 × 3 − 1 =

  4 8) db = n − b × k = _{D T ( ) ( )} 27 − 3 × 3 =

  18

  2 Perhitungan Rerata Jumlah Kuadrat (RJK) atau Varian (s ) untuk Sumber Varian yang Diperlukan

  1) RJK atau Varian Antar Kelompok :

  _{2 A A = = = =} JK 127,8267 s RJK _A

15 , 9783

db _A

  8

  2) RJK atau Varian Antar Kolom : _{2 Ak Ak = = = =} JK , 3267 s RJK , 1633 _Ak db _Ak

  2

  3) RJK atau Varian Antar Baris : _{2 Ab Ab = = = =} JK 127 , 4467 s RJK _Ab 63 , 7233 db _Ab

  2

  4) RJK atau Varian Interaksi : _{2 , 0533 I = = = =} JK _I s RJK , 0133 _I db _I

  4

  5) RJK atau Varian Dalam Kelompok : _{2 ,} JK _{D = = = = D}

  74 s RJK , 0411 _D db _D

18 Perhitungan Harga F (F ) untuk Sumber Varian yang Diperlukan

  hitung h

  1) F hitung Antar Kolom :

  RJK , 1633 _Ak = = = Fh _Ak 3 , 973 RJK , 0411 _D

  2) F hitung Antar Kelompok :

  RJK _Ab 63 , 7233 = = = Fh 1550 , 445 _Ab RJK , 0411 _D

  3) F Interaksi :

  hitung RJK , 0133 _I = = =

  Fh , 3236 _I RJK , 0411 _D

  4) F Antar Kelompok :

  hitung RJK _A

  15 , 9783 = = = Fh 388 , 766 _A RJK , 0411 _D

  General Linear Model: Konduktivitas versus Konsentrasi, Suhu (Minitab) Factor Type Levels Values Konsentrasi fixed 3 0.01, 0.02, 0.03 Suhu fixed 3 30, 40, 50

  Analysis of Variance for Konduktivitas, using Adjusted SS for Tests Source DF Seq SS Adj SS Adj MS F P Konsentrasi 2 127.447 127.447 63.723 1220.23 0.000 Suhu 2 0.327 0.327 0.163 3.13 0.068 Konsentrasi*Suhu 4 0.053 0.053 0.013 0.26 0.903 Error 18 0.940 0.940 0.052 Total 26 128.767 S = 0.228522 R-Sq = 99.27% R-Sq(adj) = 98.95% Lampiran 3. Data Hasil Pengukuran Hantaran Spesifik (mS) pada variasi Konsentrasi Larutan Elektrolit Lemah CH COOH (Asam

  3 Asetat)

  Konsentrasi Suhu (

  C) CH COOH (M)

  3

  30

  40

  50 0,01 0,24 0,25 0,25

  0,24 0,24 0,24 0,24 0,24 0,24

  0,02 0,36 0,35 0,33

  Lampiran 4. Tabel ANAVA Dua Jalur Untuk Larutan CH

  3 COOH

  Konsentrasi Suhu (

  C) [A] 0,36 0,35 0,34 0,36 0,35 0,33

  0,03 0,50 0,49 0,47 0,51 0,49 0,47 0,50 0,49 0,47

3 COOH (M)

  ∑Y

  2 33 = 0,6627 ₃₃ Y = 0,47

  = 1,41 ∑Y

  33

  ∑Y

  33 = 3

  n

  2 32 = 0,7203 ₃₂ Y = 0,49

  = 1,47 ∑Y

  32

  ∑Y

  

32 = 3

  n

  = 1,51 ∑Y

  2 31 = 0,7601 ₃₁ Y = 0,5033

  31

  CH

  31 = 3

  n

  3 ]

  [B

  0,03

  2 20 = 1,0897 ₂₀ Y = 0,3478

  ∑Y

  20 = 3,13

  ∑Y

  20 = 9

  n

  ∑Y

  30 = 9

  2 02 = 1,2655 ₀₂ Y = 0,3611

  2 00 = 3,761 ₀₀ Y = 0,3592 Perhitungan Jumlah Kuadrat (JK) untuk setiap sumber varian :

  ∑Y

  00 = 9,7

  ∑Y

  00 = 27

  n

  2 03 = 1,1738 ₀₃ Y = 0,3489

  ∑Y

  03 = 3,14

  ∑Y

  03 = 9

  n

  ∑Y

  30

  

02 = 3,25

  ∑Y

  

02 = 9

  n

  2 01 = 1,3217 ₀₁ Y = 0,3678

  ∑Y

  01 = 3,31

  ∑Y

  01 = 9

  ∑A n

  2 30 = 2,1431 ₃₀ Y = 0,4877

  = 4,39 ∑Y

  n

  ∑Y

  2 23 = 0,3334 ₂₃ Y = 0,3333

  11 = 0,72

  13 = 3

  = 0,1777 ₁₂ Y = 0,2433 n

  13

  2

  ∑Y

  

12 = 0,73

  ∑Y

  

12 = 3

  = 0,1728 ₁₁ Y = 0,24 n

  11

  2

  ∑Y

  ∑Y

  13 = 0,73

  11 = 3

  n

  1 ]

  [B

  ∑B 0,01

  3 ]

  50 [A

  

2

]

  40 [A

  1 ]

  30 [A

  [B]

  ∑Y

  ∑Y

  23 = 1

  ∑Y

  ∑Y

  23 = 3

  n

  2 22 = 0,3675 ₂₂ Y = 0,35

  ∑Y

  

22 = 1,05

  ∑Y

  

22 = 3

  n

  2 21 = 0,3888 ₂₁ Y = 0,36

  ∑Y

  21 = 1,08

  21 = 3

  2

  n

  2 ]

  [B

  = 0,5282 ₁₀ Y = 0,2422 0,02

  10

  2

  ∑Y

  10 = 2,18

  ∑Y

  10 = 9

  = 0,1777 ₁₃ Y = 0,2433 n

  13

  1) Jumlah Kuadrat Total (JK T ) 761 , JK 3 Y

2 T

  = Σ = 2) Jumlah Kuadrat Rerata/Koreksi (JK

  ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ^R ₃₃ ² _{33 32} ² _{32 31} ² _{31 23} ² ₂₃ ^{22 2 22 21 2 21 13 2 13 12 2 12 11 2 11}

  00

  Σ

        

        

  Y n Y

  Y n Y n

  Y n Y n

  Y n Y n

  n Y n

  = − = − = 4) Jumlah Kuadrat Antar Kelompok (JK A )

  R

  , 3 761 JK 3 JK JK _{R T TR}

  ) , 4848 2762 ,

  TR

  = 3) Jumlah Kuadrat Total di Reduksi (JK

  Y JK ² ₀₀ ^{2 00} _R = = Σ

  27 7 , 9 n

  3

  4848 ,

  ( ) ( )

  )

• Σ
• Σ
• Σ
• Σ
• Σ
• Σ
• Σ
• Σ

  2 ²

²

^{2 2} 

   ( , 72 ) ( , 73 ) ( , 73 ) ( ) ( ) 1 ,

  08 1 ,

  05

• 

  

  3

  3

  3

  3

  3   −

  3 , 4848 = , 276 = _{2 2 2 2}

   

  1 1 ,

  51 1 ,

  47

1 ,

  41 ( ) ( ) ( ) ( )

• 

  

  3

  3

  3

  3  

  5) Jumlah Kuadrat Antar Kolom (JK ) _{2 2} Ak

₂

 ( ∑ Y ) ( ∑ Y ) ( ∑ Y )  _{01 02 03} JK Ak = − JK + + _R

    n n n _{01 02 03}   _{2 2 2}

    ( 3 , 31 ) ( 3,25 ) ( 3,14 )

• − = + 3,4848 , 0016

  =  

  9

  9

  9    

  6) Jumlah Kuadrat Antar Baris (JK Ab ) _{2 2 2}

    ( ∑ Y ) ( ∑ Y ) ( ∑ Y ) _{10 20 30} JK Ab = − JK + + _R

    n n n _{10 20 30}   _{2 2 2}

   ( 2 , 18 ) ( 3 , 13 ) ( 4 , 39 )  − + + 3 , 4848 = , 273

  =

   

  9

  9

  9  

  7) Jumlah Kuadrat Interaksi (JK

  I )

  JK = JK − JK − JK _{I A Ak Ab} = , 276 − , 0016 − , 273 = , 0014

  8) Jumlah Kuadrat Dalam Kelompok (JK D )

  JK = JK − JK _{D TR A} = 0,2762 − , 276 = , 0002 Perhitungan Derajat Bebas (db) Setiap Sumber Varian

  db = n = n =

  27 1)

  T

00 T

  2) db = _R

  1 3) db = n − _{TR T} 1 = 27 − 1 =

  26 4) db = b × k − 1 = 3 × 3 − 1 =

  ( ) ( )

8 A

  db k

  1

  3

  1

  2 5) = − = − = _Ak

  Ab

  7) db = k − 1 × b − 1 = 3 − 1 × 3 − 1 =

  ( ) ( ) ( ) ( )

  4 _I

  db n b k

  27

  3

  3

  18 8) = − × = − × = _{D T ( ) ( )}

  2 Perhitungan Rerata Jumlah Kuadrat (RJK) atau Varian (s ) untuk Sumber Varian yang Diperlukan

  1) RJK atau Varian Antar Kelompok : _{2 A A}

  JK 0,276 s = RJK = = = , 0345 _A db _A

  8

  2) RJK atau Varian Antar Kolom : _{2 Ak Ak = = = =} JK , 0016 s RJK , 0008 _Ak db _Ak

  2

  3) RJK atau Varian Antar Baris : _{2 Ab Ab = = = =} JK , 273 s RJK , 1365 _Ab db _Ab

  2

  4) RJK atau Varian Interaksi : _{2 I = = = =} JK , 0014 _I s RJK , 00035 _I db _I

  4

  5) RJK atau Varian Dalam Kelompok : _{2 D D = = = =} JK , 0002 s RJK , 000011 _D db _D

18 Perhitungan Harga F (F ) untuk Sumber Varian yang Diperlukan

  hitung h

  1) F hitung Antar Kolom :

  RJK , 0008 _Ak Fh = = = _Ak 72 ,

  73 RJK , 000011 _D

  2) F hitung Antar Kelompok :

  RJK , 1365 _Ab = = = Fh 12409 , _Ab

  

09

RJK , 000011 _D

  3) F hitung Interaksi :

  RJK , 00035 _I = = = Fh _I 31 ,

  82 RJK , 000011 _D RJK , 0345 _A = = = Fh 3136 , _A

  36 RJK , 000011 _D

  General Linear Model: Konduktivitas versus Konsentrasi, Suhu (Minitab) Factor Type Levels Values Konsentrasi fixed 3 0.01, 0.02, 0.03 Suhu fixed 3 30, 40, 50 Analysis of Variance for Konduktivitas, using Adjusted SS for Tests Source DF Seq SS Adj SS Adj MS F P Konsentrasi 2 0.273119 0.273119 0.136559 9217.75 0.000 Suhu 2 0.001652 0.001652 0.000826 55.75 0.000 Konsentrasi*Suhu 4 0.001148 0.001148 0.000287 19.37 0.000 Error 18 0.000267 0.000267 0.000015 Total 26 0.276185 S = 0.00384900 R-Sq = 99.90% R-Sq(adj) = 99.86% Lampiran 5 . Pengukuran Konduktivitas Larutan a. Keterangan : Layar konduktometer menunjukkan dua angka. Angka atas menunjukkan nilai konduktivitas, sedangkan angka bawah menunjukkan suhu larutan

  b. Keterangan : Elektroda dari konduktometer yang dicelupkan ke dalam larutan, dijaga agar bebas dari gelembung udara

  Lampiran 6. Grafik Respon Konduktivitas Larutan HCl terhadap Konsentrasi

  dan Suhu (dengan aplikasi Minitab)

  

Main Effects Plot for Konduktivitas

Data Means

Konsentr asi Suhu

  9

  8

  7 n a e

6 M

  5

  4

  3

  0.01

  0.02

  0.03

  30

  40

  50 Lampiran 7. Grafik Respon Konduktivitas Larutan HCl terhadap Interaksi

  Konsentrasi dan Suhu (dengan aplikasi Minitab)

  

I nter action Plot for Konduktivitas

Data Means

9 Ko n sen tr asi

  _{0.02 0.01}

  8 _0.03

  7 n a

  6 e M

  5

  4

  3

  30

  40

  50 Suhu Lampiran 8. Grafik Respon Konduktivitas Larutan CH

  3 COOH terhadap

  Konsentrasi dan Suhu (dengan aplikasi Minitab)

  

Main Effects Plot for Konduktivitas

Data Means

Konsentr asi Suhu

  0.50

  0.45

  0.40 n a e M

  0.35

  0.30

  0.25

  0.01

  0.02

  0.03

  30

  40

  50 Lampiran 9. Grafik Respon Konduktivitas Larutan CH

  3 COOH terhadap

  Interaksi Konsentrasi dan Suhu (dengan aplikasi Minitab)

  I nter action Plot for Konduktivitas Data Means _{Ko n sen tr asi}

  0.50 _{0.03 0.02 0.01}

  0.45

  0.40 n a e M

  0.35

  0.30

  0.25

  30

  40

  50 Suhu