menentuka nilai konstanta
9
t Ct ln Ct t kal Ct kal Error k sum err CT0 0 10 2.302585 0 10 0 0.077 1.608671 10 3 1.098612 1 9.258899 20 1.7 0.530628 2 8.57272 30 0.7 -0.35667 3 7.937395 40 0.5 -0.69315 4 7.349153 50 0.3 -1.20397 5 6.804506 60 0.1 -2.30259 6 6.300223 7 5.833313 8 5.401005 eksperimen 9 5.000736 analitikal 10 4.630131 0.543377 euler 11 4.286991 12 3.969281 13 3.675117 14 3.402754 15 3.150575 16 2.917086 17 2.7009 18 2.500736 19 2.315406 20 2.143811 0.261065 21 1.984933 22 1.837829 23 1.701627 24 1.57552 25 1.458758 26 1.350649 27 1.250552 28 1.157873 29 1.072063 30 0.992613 0.418018 31 0.91905 32 0.850939 33 0.787876 34 0.729486 35 0.675424 36 0.625368 37 0.579022 38 0.536111 39 0.496379 40 0.459593 0.080815 41 0.425532 42 0.393996 43 0.364797 █( @ _ )/ =− _ Data Eksperimen C T(i+1) =C i +h*(- k*C i ) C T =C T0 *e k*t
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menentukan nilai konstanta reaksi dengan berbagai metode yaitu kalkulasi, analitikal dan euler
Transcript of menentuka nilai konstanta
t Ct ln Ct t kal Ct kal Error k sum err CT0 t kal0 10 2.302585 0 10 0 0.077 1.608671 0
10 3 1.098612 1 9.258899 120 1.7 0.530628 2 8.57272 230 0.7 -0.356675 3 7.937395 340 0.5 -0.693147 4 7.349153 450 0.3 -1.203973 5 6.804506 560 0.1 -2.302585 6 6.300223 6
7 5.833313 78 5.401005 8
eksperimen 9 5.000736 9analitikal 10 4.630131 0.543377 10euler 11 4.286991 11
12 3.969281 1213 3.675117 1314 3.402754 1415 3.150575 1516 2.917086 1617 2.7009 1718 2.500736 1819 2.315406 1920 2.143811 0.261065 2021 1.984933 2122 1.837829 2223 1.701627 2324 1.57552 2425 1.458758 2526 1.350649 2627 1.250552 2728 1.157873 2829 1.072063 2930 0.992613 0.418018 3031 0.91905 3132 0.850939 3233 0.787876 3334 0.729486 3435 0.675424 3536 0.625368 3637 0.579022 3738 0.536111 3839 0.496379 3940 0.459593 0.080815 4041 0.425532 4142 0.393996 4243 0.364797 43
█( 𝑚𝑜𝑑𝑒𝑙@ _ 𝐼 𝑑𝐶 𝑇
)/ =− _𝑑𝑡 𝑘𝐶 𝑇Data Eksperimen
CT(i+1)=Ci+h*(-k*Ci)
CT=CT0*ek*t
44 0.337762 4445 0.31273 4546 0.289554 4647 0.268095 4748 0.248226 4849 0.22983 4950 0.212797 0.290675 5051 0.197027 5152 0.182425 5253 0.168906 5354 0.156388 5455 0.144798 5556 0.134067 5657 0.124131 5758 0.114932 5859 0.106414 5960 0.098528 0.01472 60
Ct kal Error sum err k eul10 0 1.597617 0.0739
9.2618.576612
7.94287.3558286.8122326.3088085.842587
5.410825.010964.64065 0.546883
4.2977063.9801063.6859763.4135823.1613192.927697
2.711342.5109722.3254112.153564 0.2668021.9944151.8470281.7105331.5841241.4670571.3586421.2582381.1652541.0791420.999394 0.4277050.9255380.8571410.7937980.735137
0.680810.6304980.5839040.5407540.5007920.463784 0.072433
0.429510.3977690.368374
0 10 20 30 40 50 60 700
2
4
6
8
10
12
t vs. Ct
t vs Ct Cal t vs Ct experiment
t reaksi
Ct re
aksi
0 10 20 30 40 50 60 700
2
4
6
8
10
12
t vs. ln Ctdata euler
data analitik
0 10 20 30 40 50 60 70
-3
-2
-1
0
1
2
3
f(x) = − 0.0701587720556232 x + 2.01554110608379R² = 0.977898179922194
Regresi model I
ln CtLinear (ln Ct)
t
ln C
t
0.3411510.31594
0.2925920.27097
0.2509450.2324
0.215226 0.2825810.1993210.184591
0.170950.1583160.1466170.1357820.1257480.1164550.1078490.099879 0.001213
0 10 20 30 40 50 60 70
-3
-2
-1
0
1
2
3
f(x) = − 0.0701587720556232 x + 2.01554110608379R² = 0.977898179922194
Regresi model I
ln CtLinear (ln Ct)
t
ln C
t
0 10 20 30 40 50 60 700
2
4
6
8
10
12
t vs. Ct
t vs Ct Cal t vs Ct experiment
t reaksi
Ct re
aksi
0 10 20 30 40 50 60 700
2
4
6
8
10
12
t vs. ln Ctdata euler
data analitik
0 10 20 30 40 50 60 70
-3
-2
-1
0
1
2
3
f(x) = − 0.0701587720556232 x + 2.01554110608379R² = 0.977898179922194
Regresi model I
ln CtLinear (ln Ct)
t
ln C
t
0 10 20 30 40 50 60 70
-3
-2
-1
0
1
2
3
f(x) = − 0.0701587720556232 x + 2.01554110608379R² = 0.977898179922194
Regresi model I
ln CtLinear (ln Ct)
t
ln C
t
t Ct ln Ct ln Ct0 ln Ct0 - ln Ct Ct0-Ct t/(Ct0-Ct) (ln Ct0 - ln Ct)/Ct0 - Ct0 10 2.302585 2.302585 0 0 #DIV/0! #DIV/0!
10 3 1.098612 2.302585 1.2039728043 7 1.428571 0.17199611490370520 1.7 0.530628 2.302585 1.7719568419 8.3 2.409639 0.21348877613637130 0.7 -0.356675 2.302585 2.6592600369 9.3 3.225806 0.28594193945513740 0.5 -0.693147 2.302585 2.9957322736 9.5 4.210526 0.31534023932147350 0.3 -1.203973 2.302585 3.5065578973 9.7 5.154639 0.36150081415669960 0.1 -2.302585 2.302585 4.605170186 9.9 6.060606 0.465168705655363
Eul Lin AnalitKm -0.074 -0.0782Vmax 0.06049 0.0598
1 2 3 4 5 6 70
0.050.1
0.150.2
0.250.3
0.350.4
0.450.5
f(x) = 0.0597684004199859 x + 0.0782096559862759
Regresi model II
Column HLinear (Column H)Linear (Column H)
t/(Ct0-Ct)
(ln C
t0 -
ln C
t)/C
t0 -
Ct
0 10 20 30 40 50 60 700
2
4
6
8
10
12
Ct kalCo kal
t kal Ct kal err sum err Co0 10 0 0.836872 0.1053491 7.673462 0.1121922 6.599407 0.1194843 5.81918 0.1272554 5.200961 0.1355375 4.689513 0.1443646 4.255089 0.1537727 3.879404 0.1638028 3.550246 0.1744969 3.258967 0.185897
10 2.999181 0.000273 0.19805611 2.766011 0.21102312 2.555634 0.22485513 2.36499 0.23961114 2.191584 0.25535415 2.033354 0.27215616 1.888571 0.29008817 1.755772 0.30923118 1.633706 0.32967219 1.521293 0.35150220 1.417596 0.16612 0.37482221 1.321796 0.39973922 1.233172 0.42637123 1.151087 0.45484224 1.074974 0.48529125 1.004329 0.51786526 0.9387 0.55272527 0.877679 0.59004728 0.820901 0.6300229 0.768033 0.67285430 0.718775 0.026821 0.71877531 0.672854 0.76803332 0.63002 0.82090133 0.590047 0.87767934 0.552725 0.938735 0.517865 1.00432936 0.485291 1.07497437 0.454842 1.15108738 0.426371 1.23317239 0.399739 1.32179640 0.374822 0.250356 1.41759641 0.351502 1.52129342 0.329672 1.63370643 0.309231 1.755772
44 0.290088 1.88857145 0.272156 2.03335446 0.255354 2.19158447 0.239611 2.3649948 0.224855 2.55563449 0.211023 2.76601150 0.198056 0.339813 2.99918151 0.185897 3.25896752 0.174496 3.55024653 0.163802 3.87940454 0.153772 4.25508955 0.144364 4.68951356 0.135537 5.20096157 0.127255 5.8191858 0.119484 6.59940759 0.112192 7.67346260 0.105349 0.053488 10
