Pengukuran Angka Ketidakpastian (Uncertainty) dari analisis komposisi kimia baja (SS) dg InstruData SSR kurva kalibrasi standar Ni AAS trial version

No 1 2 3 4 5 6

Xi 0 2 3 5 10 15

Yi [ ] ppm 0.0007092 0.03351 0.04842 0.07832 0.1572 0.2324

a 0.001803 0.001803 0.001803 0.001803 0.001803 0.001803

SSR

1.1964E-06 0.003913128 0.008628366 0.023604328 0.095875072 0.21340427 0.34542636 4.0 0.08635659 2.78 0.293864918 0.816944472

residual

ri = yi-(a+b.xi)

SSR (n-2) Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var u5 (S*k)

residual

Data SSR Kurva Kalibrasi Standar Carbon Spark OES

No 1 2 3 4 5

Xi 0.00011 0.3275 0.655 0.983 1.30488

Yi [ ] % 0.02978 0.28795 0.54619 0.8112 0.98149

a 0.05094 0.05094 0.05094 0.05094 0.05094

SSR

0.000444355 0.226603918 0.947290796 2.183546723 3.5452769 6.903162693

residual

ri = yi-(a+b.xi)

SSR

residual

(n-2) Degree of FreedomVar=ssr/ nilai k (dari tabel) S=var u5 (S*K)

3 2.301054231 3.18 1.516922619 4.823813927

Data SSR Kurva Kalibrasi Standar Sulfur Spark OES

No 1 2 3 4 5

Xi 0.0005 0.004 0.0104 0.015 0.0177

Yi [ ] % 2.42 3.576 5.939 7.648 8.251

a 2.2474 2.2474 2.2474 2.2474 2.2474

SSR

0.120363096 7.41620385 53.54937842 113.0099859 36.04321296 210.1391442 3 70.04638141 3.18 8.369371626 26.61460177

residual

ri = yi-(a+b.xi)

SSR (n-2)Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var u5 (S*k)

residual

Data SSR Kurva Kalibrasi Standar Silicon Spark OES

No 1 2 3 4 5

Xi 0.0008 0.0103 0.0273 0.0515 0.0563

Yi [ ] % 0.0370 0.0530 0.0830 0.1120 0.1290

a 0.0369 0.0369 0.0369 0.0369 0.0369

SSR

1.83895E-06 0.001041484 0.007914545

residual

ri = yi-(a+b.xi)

SSR (n-2)Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var u5 (S*k)

0.024323568 0.032579033 0.06586047 3.0 0.02195349 3.18 0.148167102 0.471171383

residual

Data SSR Kurva Kalibrasi Standar Krom Spark OES

No 1 2 3 4 5

Xi 0.00057 0.01589 0.02942 0.04603 0.05844

Yi [ ] % 0.03485 0.06397 0.08978 0.11334 0.14968

a 0.0330176 0.0330176 0.0330176 0.0330176 0.0330176

SSR

8.51873E-06 0.003749726 0.01273061 0.028239042 0.052000101 0.096727998 3.0 0.032242666 3.18 0.17956243 0.571008526

residual

ri = yi-(a+b.xi)

SSR (n-2)Degree of Freedom Var=SSR/ nilai k (dari tabel) S=var u5 (S*k)

residual

Data SSR Kurva Kalibrasi Standar Mangan Spark OES

No 1 2 3 4 5

Xi 0.00093 0.00331 0.01121 0.01659 0.02207

Yi [ ] % 2.43590 3.30870 6.39590 8.32750 10.31700

a2.10643 2.10643 2.10643 2.10643 2.10643

SSR

0.459087487 5.959314844 71.99970391 154.5184634 271.2989885 504.2355581 3.0 168.0785194 3.18 12.96450999 41.22714178

residual

ri = yi-(a+b.xi)

SSR (n-2)Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var u5 (S*k)

residual

IPB 2009

Derajat Kebebasan 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

t 12,7 4,30 3,18 2,78 2,57 2,45 2,36 2,31 2,26 2,23 2,20 2,18 2,16 2,14 2,13 2,12 2,11 2,10 2,09 2,09

25 30 35 40 45 50

2,06 2,04 2,03 2,02 2,01 2,01

posisi kimia baja (SS) dg Instrumen Spark OES

b 0.015424 0.015424 0.015424 0.015424 0.015424 0.015424

0.25 0.2 Absorbansi 0.15 0.1 0.07832 0.05 0.04842 0.03351 0 0 0.0007092 5 10 Concentration (ppm) 15 20 y = 0.015424x + 0.001803 R = 0.9998 0.1572 0.2324

-0.0010938 0.000859 0.000345 -0.000603 0.001157 -0.000763 -9.88E-05

b 0.72983 0.72983 0.72983 0.72983 0.72983

1.2 1 Intensity 0.8 0.6 0.4 0.2 y = 0.737x + 0.050 R = 0.9962

-0.021240281 -0.002009325 0.01721135 0.04283711 -0.02179057 0.015008283

0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Concentration (%)

Intensity

b 348.6677 348.6677 348.6677 348.6677 348.6677

9 8 7 6 5 4 3 2 2.42 1 0 0 0.005 0.01 Concentration (%) 0.015 0.02 3.576 5.939 y = 348.6x + 2.247 R = 0.9974 7.648 8.251

-0.00173385 -0.0660708 0.06545592 0.1705845 -0.16781829 0.00041748

rk OES

b 1.5701 1.5701 1.5701 1.5701 1.5701

0.14 0.12 0.1 Intensity 0.08 0.06 0.04 0.02 0.037 0.053 0.083 y = 1.569x + 0.0369 R = 0.9902 0.129 0.112

-0.00115608 -7.203E-05 0.00323627

0 0 0.01 0.02 0.03 0.04 0.05 0.06 Concentration (%)

-0.00576015 0.00370337 -4.862E-05

Concentration (%)

0.16

b 1.905765 1.905765 1.905765 1.905765 1.905765

0.14 0.12 Intensity 0.1 0.08 0.06 0.04

y = 1.905765x + 0.0330176 R = 0.9892 0.11334 0.08978 0.06397 0.03485

0.14968

0.000746114 0.000669794 0.000694794 -0.007399963 0.005289493 2.3225E-07

0.02 0 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 Concentration (%)

ark OES

b374.29027 374.29027 374.29027 374.29027 374.29027

12 10 8 Intensity 6 4 6.3959 y = 374.29027x + 2.10643 R = 0.9997 8.3275 10.317

Intensity 4 2

3.3087 2.4359

-0.018619951 -0.036630794 0.093676073 0.011594421 -0.050016259 3.4903E-060 0 0.005 0.01 0.015 0.02 0.025 Concentration (%)

20

1.4

0.02

0.129 0.112

0.06

0.07

10.317

0.025

Data kalkulasi SSR pada Standar Nikel, Mangan, Cromium 316 L Data SSR kurva kalibrasi standar Ni AAS trial version No Xi Yi [ ] ppm a b 1 0 0.0007092 0.001803 0.015424 2 2 0.03351 0.001803 0.015424 3 3 0.04842 0.001803 0.015424 4 5 0.07832 0.001803 0.015424 5 10 0.1572 0.001803 0.015424 6 15 0.2324 0.001803 0.015424

SSR

1.2E-06 0.00391 0.00863 0.0236 0.09588 0.2134 0.34543

residual

-0.0010938 0.000859 0.000345 -0.000603 0.001157 -0.000763 -9.88E-05

ri = yi-(a+b.xi)

SSR (n-2) Degree of Freedom

residual

4.0

Var=ssr/ nilai k (dari tabel) S=var

0.08636 2.78 0.29386 0.81694

u5 (S*k)

No 1 2 3 4 5 6

Data SSR kurva kalibrasi standar Mn AAS trial version Xi Yi [ ] ppm a b 0 -0.00754 0.0444 0.0748 2 0.1854 0.0444 0.0748 3 0.2844 0.0444 0.0748 5 0.4612 0.0444 0.0748 10 0.8491 0.0444 0.0748 15 0.0444 0.0748 1.1130

SSR

0.0027 0.08445

residual

-0.05194 -0.0086

ri = yi-(a+b.xi)

SSR (n-2) Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var

0.21567 0.62536 2.41088 4.79873 8.13778 4.00 2.03445 2.78 1.42634 3.96523

residual

0.0156 0.0428 0.0567 -0.0534 0.00116

u5 (S*k)

No 1 2 3 4 5 6

Data SSR kurva kalibrasi standar Cr AAS trial version Xi Yi [ ] ppm a b 0 0.035375 0.025099 -0.00294 2 0.035375 0.025099 0.1078 3 0.035375 0.025099 0.1277 5 0.035375 0.025099 0.1688 10 0.035375 0.025099 0.2868 15 0.035375 0.025099 0.4025

SSR

0.00147

residual

-0.038315 0.022227 0.017028 0.00793 0.000435 -0.00936 -5.5E-05

0.01504 0.0281 0.06704 0.25242 0.55296 SSR 0.91702 (n-2) Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var

ri = yi-(a+b.xi)

residual

u5 (S*k)

0.25 0.2 Absorbans 0.15 0.1 0.07832 0.05 0 0 0.0007092 0.04842 0.03351 5 10 Concentration (ppm) 15 20 y = 0.015424x + 0.001803 R = 0.9998 0.1572 0.2324

1.4 1.2 1 Absorbansi 0.8 0.6 0.4 0.2844 0.1854 0 -0.00754 0 2 4 -0.2 0.2

y = 0.0748x + 0.0444 R = 0.9985 0.8491 0.4612

1.113

6

8

10

12

14

16

Konsentrasi standar Mn (ppm)

Konsentrasi standar Mn (ppm)

Kurva kalibrasi larutan standar Mangan

0.45 0.4 0.35 0.3 Absorbansi 0.25 0.2 0.15 0.1 0.05 0 -0.05 0 0.1277 0.1078 -0.00294 5 10 15 20 0.1688 0.2868 y = 0.025099x + 0.035375 R = 0.9609 0.4025

Konsentrasi standar Cr (ppm)

Kurva kalibrasi larutan standar Kromium

Data kalkulasi SSR pada Standar Nikel, Mangan, Cromium 304 Data SSR kurva kalibrasi standar Ni AAS trial version No Xi Yi [ ] ppm a b 1 0 -0.00123 0.001546 0.014452 2 2 0.001546 0.014452 0.02942 3 3 0.001546 0.014452 0.04242 4 5 0.001546 0.014452 0.06854 5 10 0.001546 0.014452 0.1396 6 15 0.001546 0.014452 0.2178

SSR

7.7062E-06 0.00322374 0.00709469 0.01939168 0.07984807 0.18751845 0.29708433

residual

-0.002776 -0.00103 -0.002482 -0.005266 -0.006466 -0.000526 -0.018546

ri = yi-(a+b.xi)

SSR

residual

(n-2) Degree of Freedom

4.0

Var=ssr/ nilai k (dari tabel) S=var

0.07427108 2.78 0.27252721 0.75762565

u5 (S*k)

No 1 2 3 4 5 6

Data SSR kurva kalibrasi standar Mn AAS trial version Xi Yi [ ] ppm a b 0 -0.00444 0.005515 0.042241 2 0.08416 0.005515 0.042241 3 0.1072 0.005515 0.042241 5 0.2101 0.005515 0.042241 10 0.4249 0.005515 0.042241 15 0.6234 0.005515 0.042241

SSR

9.9102E-05 0.02661042

residual

-0.009955 -0.005837

ri = yi-(a+b.xi)

0.05217021 0.17288132 0.70861882 1.56625225 SSR 2.52663213 (n-2) Degree of Freedom 4.00 Var=ssr/ nilai k (dari tabel) S=var 0.63165803 2.78 0.79476917 2.20945829

residual

-0.025038 -0.00662 -0.003025 -0.01573 -0.066205

u5 (S*k)

No 1 2 3 4 5 6

Data SSR kurva kalibrasi standar Cr AAS trial version Xi Yi [ ] ppm a b 0 0.008029 0.050439 0.028605 2 0.050439 0.028605 0.1056 3 0.050439 0.028605 0.1535 5 0.050439 0.028605 0.2313 10 0.050439 0.028605 0.3520 15 0.050439 0.028605 0.4534

SSR

0.00179861

residual

-0.04241 -0.002049 0.017246 0.037836 0.015511 -0.026114 2E-05

0.01262724 0.03567414 0.10490214 0.34528669 0.69228391 SSR 1.19257273 (n-2) Degree of Freedom Var=ssr/ nilai k (dari tabel) S=var

ri = yi-(a+b.xi)

residual

u5 (S*k)

0.25 0.2 Absorbansi 0.15 0.1 0.06854 0.04242 0.02942 0 -0.00123 0 5 -0.05 0.05 y = 0.014452x - 0.001546 R = 0.9986 0.1396 0.2178

10

15

20

Konsentrasi standar Ni (ppm)

Kurva kalibrasi larutan standar Nikel

0.7 0.6 0.5 Absorbansi 0.4 0.3 0.2 0.1 0 -0.1 0 -0.00444 2 0.1072 0.08416 4 6 8 10 12 14 16 0.2101 0.4249 y = 0.042241x - 0.005515 R = 0.9980 0.6234

Konsentrasi standar Mn (ppm)

Konsentrasi standar Mn (ppm)

Kurva kalibrasi larutan standar Mangan

0.6 0.5 Absorbansi 0.4 0.3 0.2 0.1 0 0 0.2313 0.1535 0.1056 0.008029 5 10 Konsentrasi standar Cr (ppm) 15 20 0.352 y = 0.028605x + 0.050439 R = 0.9977 0.4534

Kurva kalibrasi larutan standar Kromium