Curva hiperbolica

Escala N° 11 Curva Hiperbólica

Viscosidad de la penicilina sódica en varias concentraciones.
Variables: u = viscosidad en centipoises; q = número de unidades por cm3
y = X-X1Y-Y1+Y1 |
|Viscosidad de la penicilina sódica en varias concentraciones. Variables: u = viscosidad en centipoises; q = numero de unidades por cm3 |
|
|
| q | u | x-x1/y-y1 | |
| 0 | 0.96 |   | || 1000 | 0.98 | 50000 | |
| 5000 | 1.046 | 58139.53488 | |
| 10,000 | 1.11 | 66666.66667 | |
| 15,000 | 1.158 | 75757.57576 | |
| 20,000 | 1.194 | 85470.08547 | |
| 25,000 |1.224 | 94696.9697 | |
| 30,000 | 1.249 | 103806.2284 | |
| 35,000 | 1.27 | 112903.2258 | |
| 40,000 | 1.288 | 121951.2195 | |
| 50,000 | 1.316 | 140449.4382 | |
| 60,000 | 1.338 |158730.1587 | |

Ecuación 1 | 1068571.103 | = | 291000m + 11b |
Ecuación 2 | 34710683898 | = | 11201000000m + 291000b |

/(%)= .031%
/(%)= .031%
Ecuación Empírica
y=(x-x1  / 1.839x +48492.9) + y1
Ecuación Empírica
y=(x-x1  / 1.839x + 48492.9) + y1

/%Desv = | Sumatoria %Desv/12 = | 0.03113924 |

Solución
1068571.103 | = | 291000m + 11b |
34710683898 | = | 11201000000m +291000b |
(291000)
(-11)

3.10954191*1011 = 8.4681*1010m + 3201000b
-------------------------------------------------
-3.818175229*1011 = -1.23211*1011m - 3201000b
-7.08633319*1010 =-3.853*1010m
m = 1.839
1068571.103 = 291000(1.839) +11b
m = | 1.839 |
b = | 48492.9 |
1068571.103 = 535149 +11b
1068571.103- 535149= 11b
533422.103/11=b
b = 48492.9

| X obs | Y obs |X-X1/Y-Y1 | X2 | X(X-X1/Y-Y1) | Y Calc. | Desv. | % Desv. |
| 0 | 0.96 |   |   |   | 0.96 | 0 | 0 |
| 1000 | 0.98 | 50000 | 1000000 | 50000000 | 0.979868115 | 0.00013188 | 0.01345761 |
| 5000 |1.046 | 58139.53488 | 25000000 | 290697674.4 | 1.046673289 | -0.00067329 | 0.06436793 |
| 10000 | 1.11 | 66666.66667 | 100000000 | 666666666.7 | 1.109515048 | 0.00048495 | 0.04368937 |
| 15000...