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1.0
1; 0.387
2; -0.257
1; 0
2; 0.387
1; -0.257
2; 0.652
1; 0
2; 0.652
1; 0.846
2; -0.257
1; 0.985
2; -0.257
1; 0.408
2; -0.257
1; 0
2; 0.846
1; 0.018
2; 0.237
1; 0.985
2; 0.408
1; 0.3332; 0.302
3; 0.2724; 0.242
5; 0.2136; 0.182
7; 0.1498; 0.115
1; 0
2; 0.387
1; -0.257
2; 0.652
1; 0
2; 0.652
1; 0.846
2; -0.257
1; 0.985
2; -0.257
1; 0.408
2; -0.257
1; 0
2; 0.846
1; 0.018
2; 0.237
1; 0.985
2; 0.408
1; 0.3332; 0.302
3; 0.2724; 0.242
5; 0.2136; 0.182
7; 0.1498; 0.115
1; 0
2; 0.387
1; -0.257
2; 0.652
1; 0
2; 0.652
1; 0.846
2; -0.257
1; 0.985
2; -0.257
1; 0.408
2; -0.257
1; 0
2; 0.846
1; 0.018
2; 0.237
1; 0.985
2; 0.408
1; 0.3332; 0.302
3; 0.2724; 0.242
5; 0.2136; 0.182
7; 0.1498; 0.115
1; 0
2; 0.387
1; -0.257
2; 0.652
1; 0
2; 0.652
1; 0.846
2; -0.257
1; 0.985
2; -0.257
1; 0.408
2; -0.257
1; 0
2; 0.846
1; 0.018
2; 0.237
1; 0.985
2; 0.408
1; 0.3332; 0.302
3; 0.2724; 0.242
5; 0.2136; 0.182
7; 0.1498; 0.115
NUMERO DE ETAPAS
VSLINEA 1LINEA 0COINSIDIENDO 1:LINEA 2LINEA 3LINEA 4LINEA 5LINEA 6LINEA 7VSLINEA 1LINEA 0COINSIDIENDO 1:LINEA 2LINEA 3LINEA 4LINEA 5LINEA 6LINEA 7VSLINEA 1LINEA 0COINSIDIENDO 1:LINEA 2LINEA 3LINEA 4LINEA 5LINEA 6LINEA 7VSLINEA 1LINEA 0COINSIDIENDO 1:LINEA 2LINEA 3LINEA 4LINEA 5LINEA 6LINEA 7LINEA 8
FRACCION PESO SOLUTO
FRAC
CIO
N P
ESO
SO
LVEN
TE
POR CUESTIONES REDONDE EN DECIMALES SE CONSIDERA 4 ETAPAS
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.50
0.51
0.52
0.53
0.54
0.55
0.56
0.57
0.58
0.59
0.60
0.61
0.62
0.63
CONCENTRACION DE SOLUTO
Fn
DATOS DE PRUEBA COMPOSICION CALCULADA
1/Fn
Lb/Lb intertes fraccion masa underflowSOLUTO solvente
underflow SOLUTO SOLVENTE
0.500 2.000 0.000 0.000 0.500 1.500 0.000 0.3330.505 1.980 0.100 0.051 0.455 1.505 0.034 0.3020.515 1.942 0.200 0.103 0.412 1.515 0.068 0.2720.530 1.887 0.300 0.159 0.371 1.530 0.104 0.2420.550 1.818 0.400 0.220 0.330 1.550 0.142 0.2130.571 1.751 0.500 0.286 0.286 1.571 0.182 0.1820.595 1.681 0.600 0.357 0.238 1.595 0.224 0.1490.620 1.613 0.700 0.434 0.186 1.620 0.268 0.115
SOLU/INT 0.06
SOLV/INT 0.43857143SOLV/INT SOLV/INT
0.238 0.357INSERTAR
0.186 0.434
SOLIDO SOLIDO LIXIVIADO
CANTIDAD 1425 CANTIDAD 1498.571SOLUTO 400 0.281 SOLUTO 60.000 0.040
SOLVENTE 25 0.018 SOLVENTE 438.571 0.293INERTE 1000 0.702 INERTE 1000 0.667
SOLUCION LIXIVIADA SOLUCION LIXIVIANTE
CANTIDAD 591.429 CANTIDAD 680SOLUTO 350.000 0.592 SOLUTO 10 0.015
SOLVENTE 241.429 0.408 SOLVENTE 655 0.963
2105 = 2090
85
PERDIDA 15
SOLIDO%
CANTIDAD 1425.000SOLUTO 400.000 0.281 28.070
SOLVENTE 25.000 0.018 1.754INERTE 1000.000 0.702 70.175
SOLIDO LIXIVIADO%
CANTIDAD 1498.571SOLUTO 60.000 0.040 4.004
SOLVENTE 438.571 0.293 29.266
SOLUCION LIXIVIADA%
CANTIDAD 591.429SOLUTO 350.000 0.592 59.179
SOLVENTE 241.429 0.408 40.821
SOLUCION LIXIVIANTE%
CANTIDAD 680.000SOLUTO 10.000 0.015 1.471
SOLVENTE 655.000 0.963 96.324
POR REGRESION LINEAL
Fn = (Lb solucion/Lb
inertes)
CONCENTR
SOLUTO/SOLUCION
SOLUTO/ inertes
solvente/ inertes
FRACCION MASA
FRACCION MASA
FRACCION MASA
FRACCION MASA
RECUPERACION
FRACCION MASA
FRACCION MASA
FRACCION MASA
FRACCION MASA
BALANCE GENERAL
ABxnFn 1
SALETONENTRATON __
DONDE:A = 2.036B = -0.577
ENTOCNES: 1/Fn = 2.036 + -0.577 Xn
DESPEJANDO "X" :
α = 0.060
X = 0.118
Fn = 0.508
1.338
a = 10.377
b = -13.614
c = -1.027
13.258
10.733
V1=
β1 =
β2 =
n
menor
mayor
menor
mayor
menor
mayor
blixiviantesolsolutodeley
blixiviantesolsolutodeley
badescsolutodeley
badescsolutodeley
)()()____(
)()()____(
)()()arg___(
)()()arg___(
ABxnFn 1
))((
))((
toninerteFn
tonperdidatonsolutoX
)(
))((*)(
eleydeinert
tonperdidatoleydelsoluBxAX
)(
))((
eleydeinert
tonperdidatoleydelsolu
B
AX
1
)_)((
___1 inertestonFn
lixiviantesoldetonV
)1)((
))(_____)((
1
1
VB
BlixiviantesolensolutodeleyVAa
)1)((
))(())((
1
1
VB
XBVAb
)1)((
)_____)(()()(
1
1
VB
lixiviantesolensolutodeleyVXAc
2
4)()( 2 cbaba
menor
mayor
menor
mayor
menor
mayor
blixiviantesolsolutodeley
blixiviantesolsolutodeley
badescsolutodeley
badescsolutodeley
n
log
)()()____(
)()()____(
)()()arg___(
)()()arg___(
log
ϴ = 0.029
ɸ = 0.070
δ = 1.235
n = 4.152
SOLIDO LIXIVIADO SOLIDO LIXIVIADO
SOLIDO LIXIVIADO CANTIDAD 1593.02899 CANTIDAD 1549.25317CANTIDAD 1425 SOLUTO 350.947105 0.22030177 SOLUTO 217.650283
FRACCION MASA
FRACCION MASA
menor
mayor
menor
mayor
menor
mayor
blixiviantesolsolutodeley
blixiviantesolsolutodeley
badescsolutodeley
badescsolutodeley
n
log
)()()____(
)()()____(
)()()arg___(
)()()arg___(
log
)()()arg___(
)()()arg___(
menor
mayor
badescsolutodeley
badescsolutodeley
)()()____(
)()()____(
menor
mayor
blixiviantesolsolutodeley
blixiviantesolsolutodeley
menor
mayor
log
log
n
SOLUTO 400 0.28070175 SOLVENTE 242.081881 0.15196326 SOLVENTE 331.60289SOLVENTE 25 0.01754386 INERTE 1000 0.62773497 INERTE 1000
INERTE 1000 0.70175439 SOLU TOTAL 593.028986 SOLU TOTAL 549.253173SOLU/INT 0.59302899 SOLU/INT 0.54925317
0.571 0.5 0.53 0.30.595 0.6 0.55 0.4
SOLUCION LIXIVIADA SOLUCION LIXIVIANTE SOLUCION LIXIVIANTECANTIDAD 591.428571 CANTIDAD 759.457557 CANTIDAD 715.681744SOLUTO 350 0.59178744 SOLUTO 300.947105 0.39626586 SOLUTO 167.650283
SOLVENTE 241.428571 0.40821256 SOLVENTE 458.510452 0.60373414 SOLVENTE 548.031461
DATOS DE PRUEBA COMPOSICION CALCULADA
1/Fn
Lb/Lb intertesSOLUTO solvente
underflow SOLUTOSOLVENTE
0.500 2.000 0.000 0.000 0.500 1.500 0.0000.505 1.980 0.100 0.051 0.455 1.505 0.034 0.3330.515 1.942 0.200 0.103 0.412 1.515 0.068 0.3020.530 1.887 0.300 0.159 0.371 1.530 0.104 0.2720.550 1.818 0.400 0.220 0.330 1.550 0.142 0.2420.571 1.751 0.500 0.286 0.286 1.571 0.182 0.2130.595 1.681 0.600 0.357 0.238 1.595 0.224 0.1820.620 1.613 0.700 0.434 0.186 1.620 0.268 0.149
0.115
SOLIDO LIXIVIANTE
CANTIDAD 1425.000FRACCION
SOLUTO 400.000 0.281SOLVENTE 25.000 0.018% INERTES 1000.000 0.702
SOLUCION LIXIVIANTE
CANTIDAD 665.000FRACCION
SOLUTO 10.000 0.015SOLVENTE 655.000 0.985
SOLUCION LIXIVIADA
CANTIDAD 591.428571FRACCION
SOLUTO 350.000 0.592SOLVENTE 241.429 0.408
% RECUPER. 85.000
BASE DE CALCULO 100.000 KgSOLUTO EN EL SOLIDO LIXIVIANTE 28.070 Kg
SOLVENTE EN EL SOLIDO LIXIVIANTE 1.754 KgINERTE EN EL SOLIDO LIXIVIANTE 70.175 Kg
total 100.000 Kg
Descarla del Underflow contiene: SOLU/INT 0.0685 % RECUPERACION15 % RECIRCULANTE
INSERTE DATOS PARA
ITERPOL
FRACCION MASA
FRACCION MASA
Fn = (Lb solucion/Lb
inertes)
CONCENTR
SOLUTO/SOLUCION
fraccion masa
underflow
SOLUTO/ inertes
solvente/ inertes
1º 2º
inertePeso
solutopesoperdidasolutoKg
_
)_*(%_
Kg soluto = 0.00375
PESO DEL SOLVENTE EN LA DESCARGA 4.211
10% * Peso del Solvente en el underflow de alimentado
Interpolacion en la tabla
soluto solvente
0.000 0.3330.004 x 0.32958088 solvente/ inertes0.034 0.302
SOLUCION LIXIVIANTECOMPONENTES Kg Fracción
SOLUTO EN EL SOLIDO LIXIVIANTE 4.211 0.043SOLVENTE EN EL SOLIDO LIXIVIANTE 23.128 0.237
INERTE EN EL SOLIDO LIXIVIANTE 70.175 0.720
total 97.514 1
Composición del OverflowENTRANTE SALIENTE
COMPONENTES % Frac Masa % Frac MasaSoluto 1.471 0.015 59.179 0.592
Solvente 98.529 0.985 40.821 0.408TOTAL 100.000 1.000 100.000 1.000
ORIGEN LINEA DE OPERACIÓNX 0 1 0Y 0 0 1
ECUACIONES DE RECTAS
LINEA 1
Y = 1 + -1 X
PRIMERA LINEA
Y = 0 + 5.493 X
COINSIDIENDO 1: LINEA 1 Y PRIMERA LINEA
X = 0.154Y = 0.846
LINEA 2
INSERTE DATOS
inertePeso
solutopesoperdidasolutoKg
_
)_*(%_
Y = -0.335 + 1.256 X
LINEA 3
Y = 1.372 + -26.275 X
COINSIDIENDO 2: LINEA 2 Y LINEA 3
X = 0.062Y = -0.257
LINEA 4
Y = -1.000 + 11.988 X
LINEA 0
Y = 0.277 + -0.925 X
COINSIDIENDO 3: LINEA 4 Y LINEA 0
X = 0.099Y = 0.186
LINEA 5
Y = 0 + 1.876 X
COINSIDIENDO 4: LINEA 5 Y LINEA 1
X = 0.348Y = 0.652
LINEA 6
Y = -0.454 + 3.184 X
COINSIDIENDO 4: LINEA 6 Y LINEA 0
X = 0.178Y = 0.112
LINEA 7
Y = 0 + 0.631 X
COINSIDIENDO 5: LINEA 7 Y LINEA 1
X = 0.613Y = 0.387
LINEA 8
Y = -0.330 + 1.169 X
COINSIDIENDO 6: LINEA 8 Y LINEA 0
X = 0.290Y = 0.009
LINEA 9
Y = 0 + 0.032 X
COINSIDIENDO 6: LINEA 9 Y LINEA 1
X = 0.969Y = 0.031
LINEA 10
Y = 0 + 0.317 X
)1)((
)_____)(()()(
1
1
VB
lixiviantesolensolutodeleyVXAc
SOLIDO LIXIVIADOCANTIDAD 1498.571SOLUTO 60
SOLVENTE 438.571429INERTE 1000
SOLIDO LIXIVIADO SOLIDO LIXIVIADO
CANTIDAD 1520.13788 CANTIDAD 14950.14048723 SOLUTO 121.843633 0.08015301 SOLUTO 51.7977508 0.03464732
FRACCION MASA
FRACCION MASA
FRACCION MASA
0.21404048 SOLVENTE 398.294252 0.26201192 SOLVENTE 443.202249 0.296456350.64547229 INERTE 1000 0.65783506 INERTE 1000 0.66889632
SOLU TOTAL 520.137884 SOLU TOTAL 495 SOLU TOTALSOLU/INT 0.52013788 SOLU/INT 0.495
0.515 0.2 0.505 0.10.53 0.3 0.515 0.2
SOLUCION LIXIVIANTE SOLUCION LIXIVIANTECANTIDAD 686.566456 CANTIDAD 661.428571
0.23425256 SOLUTO 71.8436327 0.10464192 SOLUTO 1.79775078 0.002717980.76574744 SOLVENTE 614.722823 0.89535808 SOLVENTE 659.630821 0.99728202
SOLUCION LIXIVIANTECANTIDAD 680SOLUTO 10
SOLVENTE 655
INSERTE DATOS PARA
ITERPOL
INSERTE DATOS PARA
ITERPOL
INSERTE DATOS PARA
ITERPOL
FRACCION MASA
FRACCION MASA
FRACCION MASA
3º 4º
0.040038130.292659680.66730219
SOLIDO LIXIVIADO
CANTIDAD 1500SOLUTO 1.35899087 0.00090599
FRACCION MASA
FRACCION MASA
SOLVENTE 498.641009 0.33242734INERTE 1000 0.66666667
SOLU TOTAL 500SOLU/INT 0.5
0.5 00.505 0.1
SOLUCION LIXIVIANTECANTIDAD 666.428571SOLUTO -48.6410091 -0.07298758
SOLVENTE 715.069581 1.07298758
0.014705880.96323529
INSERTE DATOS PARA
ITERPOL
FRACCION MASA
FRACCION MASA
5º
y x X^2 x*y0.500 2.000 0.000 0 00.505 1.980 0.100 0.01 0.19800.515 1.942 0.200 0.04 0.38830.530 1.887 0.300 0.09 0.56600.550 1.818 0.400 0.16 0.72730.571 1.751 0.500 0.25 0.87570.595 1.681 0.600 0.36 1.00840.620 1.613 0.700 0.49 1.1290suma 14.672 2.800 1.400 4.893
m = -0.57704989b = 2.035943567
y = -0.57704989 x + 2.035943567
REGRECION LINEAL
22 )()(
))((
xxn
yxxynmpendiente
n
xmybcióner
)(secint
bmxy
X Y XY0.000 0.333 0.000 0.000 0.000 0.0000.034 0.302 0.001 0.000 0.000 0.0100.068 0.272 0.005 0.000 0.000 0.0180.104 0.242 0.011 0.001 0.000 0.0250.142 0.213 0.020 0.003 0.000 0.0300.182 0.182 0.033 0.006 0.001 0.0330.224 0.149 0.050 0.011 0.003 0.0330.268 0.115 0.072 0.019 0.005 0.031
n 0.000 0.000 0.000 0.0008 0.000 0.000 0.000 0.000S 1.021 1.808 0.192 0.041 0.009 0.181
0.128 0.226 0.024 0.005 0.001 0.023
1.808 = 8.000 a + 1.021 b0.181 = 1.021 a + 0.192 b0.030 = 0.192 a + 0.041 b
DESARROLLANDO POR MATRICES
8.00000 1.02086 0.19159 1.808421.02086 0.19159 0.04078 0.181220.19159 0.04078 0.00930 0.03022
1.56467 0.19966 0.03747 0.353701.56467 0.29365 0.06250 0.277761.56467 0.33301 0.07592 0.24682
1.56467 0.19966 0.03747 0.353700.00000 0.09399 0.02503 -0.075940.00000 0.03936 0.01343 -0.03094
1.56467 0.19966 0.03747 0.353700.00000 0.00370 0.00099 -0.002990.00000 0.00370 0.00126 -0.00291
1.56467 0.19966 0.03747 0.353700.00000 0.00370 0.00099 -0.002990.00000 0.00000 0.00028 0.00008
X2 X3 X4
1/nS
Ajuste de una función parabólica: Y* = a + b X + c X2
X cXb XaYX
X cXb XaXY
Xc X b Na Y
4322
32
2
c = 0.294b = -0.886a = 0.332
Y = 0.332 + -0.886 X + 0.294
2X c + X b +a = Y
0.0000.0000.0010.0030.0040.0060.0070.0080.0000.0000.0300.004
+ 0.192 c+ 0.041 c+ 0.009 c
X2Y
X cXb XaYX
X cXb XaXY
Xc X b Na Y
4322
32
2
X2
0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700
-0.200
0.000
0.200
0.400
0.600
0.800
1.000
1.200
1; 0.373
2; -0.107
1; 0.373
2; 0.000
1; 0.501
2; -0.107
1; 0.501
2; 0.000
1; 0.625
2; -0.107
1; 0.625
2; 0.000
1; 0.744
2; -0.107
1; 0.744
2; 0.000
1; 0.857
2; -0.107
1; 0.857
2; 0.000
1; 0.294
2; 0.106
1; 0.408
2; -0.107
1; 0.963
2; -0.107
1; 0.408
2; 0.963
Chart Title
overflowSOLUTO vs SOLVENTELINEA 1LINEA 2AJUSTE LINEA 3LINEA 4LINEA 5LINEA 6LINEA 7LINEA 8LINEA 9LINEA 10LINEA 11LINEA 12
overflowSALIENTE ENTRANTE
SOLUCIONSOLUTO 0.592 0.015
SOLVENTE 0.408 0.963
underflowSALIENTE ENTRANTE
AJUSTEMINERAL SALIENTE ENTRANTESOLUTO 0.043 0.281 0.043 0.281
SOLVENTE 0.237 0.018 0.294 0.106
ORIGENX 0.000Y 0.000
ECUACION:
Y = 0.332 + -0.886 X + 0.294
DONDE:
Y: PORCENTAJE MASA DE SOLVENTEX: PORCENTAJE MASA DE SOLUTO
ECUACIONES DE RECTAS
overflow
Y = -0.962 X + 0.977
underflow
Y = 0.332 + -0.886 X + 0.294
AJUSTE
Y = -0.791 x + 0.329
LINEA 1
Y = -23.491 X + 1.309
LINEA 2
Y = 0.970 X + -0.166
INTERSECCION GENERAL
X 0.060Y -0.107
LINEA 3
Y = 6.818 X + 0.000
INTER 1 overflow Y LINEA 3
X 0.126Y 0.857
LINEA 4
Y = 14.748 X + -0.996
INTER 2 AJUSTE Y LINEA 4
X 0.085Y 0.261
LINEA 5
Y = 3.062 X + 0.000
INTER 3 overflow Y LINEA 5
X 0.243Y 0.744
LINEA 6
Y = 4.661 X + -0.388
INTER 4 AJUSTE Y LINEA 6
X 0.131Y 0.225
LINEA 7
Y = 1.708 X + 0.000
INTER 5 overflow Y LINEA 7
X 0.366Y 0.625
LINEA 8
Y = 2.395 X + -0.252
INTER 6 AJUSTE Y LINEA 8
X 0.182Y 0.184
LINEA 9
Y = 1.013 X + 0.000
INTER 7 overflow Y LINEA 9
X 0.495Y 0.501
LINEA 10
Y = 1.401 X + -0.192
INTER 8 AJUSTE Y LINEA 10
X 0.237Y 0.141
LINEA 11
Y = 0.593 X + 0.000
INTER 9 overflow Y LINEA 11
X 0.629Y 0.373
LINEA 12
Y = 0.845 X + -0.158
X2
X2