Cálculos de densidad a partir de Volumen y Masa.
PiimOsh VazQuezApuntes9 de Marzo de 2016
516 Palabras (3 Páginas)556 Visitas
Flores Cháirez Daniel
García Uribe Pedro Juvenal.
Islas Escobar Alexa Pamela.
Vázquez Cuevas José Germán.
Práctica 2. Relación Lineal (densidad).
Cálculos de densidad a partir de Volumen y Masa.
Tabla 1.Datos obtenidos con regla de metal (Resolución=0.1 cm) y con balanza Dial-O-Gram (Resolucion=0.01).
Largo (L) (cm | Ancho (A) (cm) | Grueso (G) (cm) | Masa (M) (g) | |
1 | 11.0 | 5.6 | 1.5 | 163.17 |
2 | 11.1 | 5.6 | 1.4 | 163.13 |
3 | 11.0 | 5.5 | 1.5[pic 1][pic 2] | 163.11 |
4 | 11.0 | 5.5 | 1.4 | 163.11 |
5 | 11.0 | 5.5 | 1.5 | 163.09 |
6 | 11.0 | 5.6 | 1.4 | 163.09 |
7 | 11.0 | 5.5 | 1.5 | 163.14 |
8 | 11.0 | 5.5 | 1.5 | 163.14 |
9 | 11.0 | 5.6 | 1.5 | 163.04 |
10 | 11.0 | 5.5 | 1.5 | 163.15 |
Promedio | 11.01 | 5.54 | 1.47 | 163.12 |
Ʋc | 0.051 | 0.052 | 0.052 | 0.015 |
L (Largo) | A (Ancho) | G (Grueso) | M (Masa) | |
Media | 11.1 cm | 5.54 cm | 1.47 cm | 163.12 g |
Varianza | 0.0009999999 | 0.002666667 | 0.002333333 | 0.00140111 |
Desviación típica | 0.031622777 | 0.051639778 | 0.048304589 | 0.03743142 |
Desviación típica de la media | 9.99E-03 | 1.63E-02 | 1.53E-02 | 1.18E-02 |
Incertidumbre tipo A | 9.99E-03 | 1.63E-02 | 1.53E-02 | 1.18E-02 |
Incertidumbre tipo B | 0.05 | 0.05 | 0.05 | 0.01 |
Incertidumbre combinada | 0.051 | 0.052 | 0.052 | 0.015 |
Modelo matemático para calcular la densidad con respecto a las variables del largo (L), ancho(A), grueso(G) y masa (M).
ρ =[pic 3]
ρ = [pic 4]
ρ = 1.80 [pic 5]
= [pic 6][pic 7][pic 8]
=[pic 9][pic 10]
= [pic 11][pic 12][pic 13]
= [pic 14][pic 15][pic 16]
La densidad de la plastilina ρ = ( ± 0.07 3), donde el número que sigue al simbolo es el valor numérico de la Ʋc y no un intervalo de confianza.[pic 17][pic 18]
Tabla 1. Datos obtenidos con balanza (Resolución= 0.01g) y pipeta (Res=1 mL)[pic 19]
Datos | Masa (g) | Volumen desplazado (mL) |
1 | 2.40 | 1.5 |
2 | 3.05 | 2.0 |
3 | 3.92 | 2.5 |
4 | 4.79 | 3.0 |
5 | 5.79 | 3.5 |
6 | 6.89 | 4.0 |
7 | 8.16 | 5.0 |
8 | 9.20 | 5.5 |
9 | 10.62 | 6.5 |
10 | 12.05 | 7.5 |
Tabla 2. Apoyo para cálculos de regresión lineal.
xi | yi | xiyi | Xi2 |
2.40 | 1.5 | 3.600 | 5.760 0 |
3.05 | 2.0 | 6.100 | 9.302 5 |
3.92 | 2.5 | 9.800 | 15.366 4 |
4.79 | 3.0 | 14.370 | 22.944 1 |
5.79 | 3.5 | 20.265 | 33.524 1 |
6.89 | 4.0 | 27.560 | 47.472 1 |
8.16 | 5.0 | 40.800 | 66.585 6 |
9.20 | 5.5 | 50.600 | 84.640 0 |
10.62 | 6.5 | 69.030 | 112.784 4 |
12.05 | 7.5 | 90.375 | 145.202 5 |
[pic 20] | [pic 21] | [pic 22] | [pic 23] |
[pic 24]
[pic 25]
[pic 26]
[pic 27]
[pic 28]
Tabla 3. Apoyo para cálculos de incertidumbre de la pendiente y ordenada al origen.
xi | yi | mxi | yi-mxi-b | (yi-mxi-b)2 | [pic 29] | [pic 30] | [pic 31] | [pic 32] | [pic 33][pic 34] |
2.40 | 1.5 | 1.451 86 | -0.006 38 | 4.077x10-5 | -4.287 | 18.378 37 | -2.6 | 6.76 | 11.1462 |
3.05 | 2.0 | 1.845 08 | 0.100 40 | 0.010 08 | -3.637 | 13.227 77 | -2.1 | 4.41 | 7.6377 |
3.92 | 2.5 | 2.371 38 | 0.074 10 | 0.005 49 | -2.767 | 7.656 29 | -1.6 | 2.56 | 4.4272 |
4.79 | 3.0 | 2.897 68 | 0.047 80 | 0.002 28 | -1.897 | 3.598 61 | -1.1 | 1.21 | 2.0867 |
5.79 | 3.5 | 3.502 62 | -0.057 14 | 0.003 26 | -0.897 | 0.804 61 | -0.6 | 0.36 | 0.5382 |
6.89 | 4.0 | 4.168 06 | -0.222 58 | 0.049 54 | 0.203 | 0.041 21 | -0.1 | 0.01 | -0.0203 |
8.16 | 5.0 | 4.936 33 | 0.009 14 | 8.359 x10-5 | 1.473 | 2.169 73 | 0.9 | 0.81 | 1.3257 |
9.20 | 5.5 | 5.565 48 | -0.119 00 | 0.014 40 | 2.513 | 6.315 17 | 1.4 | 1.96 | 3.5182 |
10.62 | 6.5 | 6.424 49 | 0.020 98 | 0.000 44 | 3.933 | 15.468 49 | 2.4 | 5.76 | 9.4392 |
12.05 | 7.5 | 7.289 56 | 0.155 91 | 0.024 31 | 5.363 | 28.761 77 | 3.4 | 11.56 | 18.2342 |
[pic 35] | 4.10 | 40.452 54 | 0.109 94 | 96.422 01 | 35.40 | 58.333 |
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