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Calculation Memory

The document provides data from a sieve analysis experiment including the mesh opening size, sieve mass, mass with sample, and recovered mass for different sieve sizes. It then shows the calculations of Dw, Dv, and Ds based on the data using specific formulas. Dw is calculated as the sum of the product of recovered mass and mesh opening size. Dv is calculated by taking the cube root of the sum of recovered mass over mesh opening size cubed. Ds is calculated as the inverse of the sum of recovered mass over mesh opening size.

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Enya Vives Bntz
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102 views2 pages

Calculation Memory

The document provides data from a sieve analysis experiment including the mesh opening size, sieve mass, mass with sample, and recovered mass for different sieve sizes. It then shows the calculations of Dw, Dv, and Ds based on the data using specific formulas. Dw is calculated as the sum of the product of recovered mass and mesh opening size. Dv is calculated by taking the cube root of the sum of recovered mass over mesh opening size cubed. Ds is calculated as the inverse of the sum of recovered mass over mesh opening size.

Uploaded by

Enya Vives Bntz
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Calculation memory

After doing the practice we obtained the following data, which we will use to obtain
Dw, Ds and Dv respectively
mesh opening sieve mass sieve mass with recovered
# Mesh Dpi (in) (g) corn (g) mass Xi (g)
14 0.0555 385.0 387.5 2.5
18 0.0394 374.5 384.0 9.5
20 0.0331 377.5 397.0 19.5
30 0.0268 379.5 498.0 118.5
40 0.0165 372.5 547.5 175.0
70 0.0083 318.0 347.5 29.5
100 0.0059 394.0 487.5 93.5
140 0.0041 306.5 390.5 84.0
200 0.0029 303.5 315.0 11.5
Tray 317.5 318.0 0.5
Sample mass 544.0

After reviewing the data, the respective results were obtained to continue with our
practice
xi/Dpi xi*Dpi xi/(Dpi)3 Dpi3

45.045 0.13875 14623.8 0.000170954


241.117 0.3743 155322.703 6.1163E-05
589.124 0.64545 537713.116 3.62647E-05
4421.64 3.1758 6156217.686 1.92488E-05
10606.1 2.8875 38957063.75 4.49213E-06
3554.22 0.24485 51592638.52 5.71787E-07
15847.5 0.55165 455255892.8 2.05379E-07
20487.8 0.3444 1218786727 6.8921E-08
3965.52 0.03335 471524047.7 2.4389E-08
Σ(Xi/Dpi) 59758
Σ(Xi*Dpi) 8.39605
Σ(Xi/Dpi)3 2242980246.9

All these results were obtained with the help of Excel.


Calculation of Dw, Dv and DsX
To continue with our next point, we use the following formulas:

1
DV =
[ ( )]
n

∑
i:1
Xi
Dpi3
⋀ 1/3

n
Dw =∑ X i D pi
i=1

1
Ds =
¿¿

Dv:
1
DV = [ 2242980246.9
⋀ 1/3 ]
Dv: 7.639381237 x 10−4 g
DS:
1
Ds =
59758
Ds: 1.673416112 x 10−5 g
Dw:
n
Dw =∑ X i D pi
i=1

Dw: 8.39605 g

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