Weight of oven-dry test sample in air: 4070g Weight of saturated-surface-dry test sample in air: 4150g Weight of saturated test sample in water: 2717g Note: Also calculate the Average Absorption Value. Thank you!

Solid Waste Engineering
3rd Edition
ISBN:9781305635203
Author:Worrell, William A.
Publisher:Worrell, William A.
Chapter5: Separation Processes
Section: Chapter Questions
Problem 5.32P
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Given:

Weight of oven-dry test sample in air: 4070g

Weight of saturated-surface-dry test sample in air: 4150g

Weight of saturated test sample in water: 2717g

Note: Also calculate the Average Absorption Value.

Thank you!

V.
DATA AND TABULATION
1. Report density results to the nearest 10 kg/m', or 0.5 lb/ft', relative density
(specific gravity) results to the nearest 0.01, and indicate the basis for density
or relative density (specific gravity), as either (OD), (SSD), or apparent.
2. Report the absorption result to the nearest 0.1 %.
3. If the density, relative density (specific gravity) and absorption values were
determined without first drying the aggregate, as permitted in IV-2, note that
fact in the report.
Data to be gathered:
1. Weight of oven-dry test sample in air, g (A)
2. Weight of saturated-surface-dry test sample in air, g (B)
3. Weight of saturated test sample in water, g (C)
VI.
CALCULATIONS
1. Relative Density (Specific Gravity):
1.1 Relative Density (Specific Gravity) (OD)-Calculate the relative density (specific
gravity) based on oven-dry aggregate as follows:
Bulk sp gr = A/(B – C)
where:
A
= weight of oven-dry test sample in air, g,
B
weight of saturated-surface-dry test sample in air, g,
and
C
= weight of saturated test sample in water, g.
[6]
1.2. Relative Density (Specific Gravity) (SSD)-Calculate the relative density (specific
gravity) based on saturated surface-
aggregate as follows:
Bulk sp gr (saturated-surface-dry) = B/(B – C)
Transcribed Image Text:V. DATA AND TABULATION 1. Report density results to the nearest 10 kg/m', or 0.5 lb/ft', relative density (specific gravity) results to the nearest 0.01, and indicate the basis for density or relative density (specific gravity), as either (OD), (SSD), or apparent. 2. Report the absorption result to the nearest 0.1 %. 3. If the density, relative density (specific gravity) and absorption values were determined without first drying the aggregate, as permitted in IV-2, note that fact in the report. Data to be gathered: 1. Weight of oven-dry test sample in air, g (A) 2. Weight of saturated-surface-dry test sample in air, g (B) 3. Weight of saturated test sample in water, g (C) VI. CALCULATIONS 1. Relative Density (Specific Gravity): 1.1 Relative Density (Specific Gravity) (OD)-Calculate the relative density (specific gravity) based on oven-dry aggregate as follows: Bulk sp gr = A/(B – C) where: A = weight of oven-dry test sample in air, g, B weight of saturated-surface-dry test sample in air, g, and C = weight of saturated test sample in water, g. [6] 1.2. Relative Density (Specific Gravity) (SSD)-Calculate the relative density (specific gravity) based on saturated surface- aggregate as follows: Bulk sp gr (saturated-surface-dry) = B/(B – C)
8 of 10
1.3. Apparent Relative Density (Apparent Specific Gravity)-Calculate the apparent
relative density (apparent specific gravity) as follows:
Apparent sp gr = A/(A – C)
[7]
2. Average Specific Gravity Values- When the sample is tested in separate size fractions the
average value for bulk specific gravity, bulk specific gravity (SSD), or apparent specific gravity can
be computed as the weighted average of the values as computed in accordance with VI-1 using the
following equation:
1
(see Appendix X1)
Pn
G
P1
(4)
P2
+
100 G,
100 G.
100 G
where:
G
= average specific gravity. All forms of
expression of specific gravity can be av-
eraged in this manner.
= appropriate specific gravity values for
each size fraction depending on the type
of specific gravity being averaged.
= weight percentages of each size fraction
present in the original sample.
G1, G2 ... G,
P, P,.. P
NOTE 5-Some users of this test method may wish to express the results in terms of density.
Density may be determined by multiplying the bulk specific gravity, bulk specific gravity
(SSD), or apparent specific gravity by the weight of water (997.5 kg/m' or 0.9975 Mg/m
or 62.27 lb/ft at 23°C). Some authorities recommend using the density of water at 4°C
(1000 kg/m3 or 1.000 Mg/m² or 62.43 lb/ft ') as being sufficiently accurate. Results should
be expressed to three significant figures. The density terminology corresponding to bulk
specific gravity, bulk specific gravity (SSD), and apparent specific gravity has not been
standardized.
3. Absorption- Calculate the percentage of absorption, as follows:
Absorption, % =
[(B – A)VA]× 100
Transcribed Image Text:8 of 10 1.3. Apparent Relative Density (Apparent Specific Gravity)-Calculate the apparent relative density (apparent specific gravity) as follows: Apparent sp gr = A/(A – C) [7] 2. Average Specific Gravity Values- When the sample is tested in separate size fractions the average value for bulk specific gravity, bulk specific gravity (SSD), or apparent specific gravity can be computed as the weighted average of the values as computed in accordance with VI-1 using the following equation: 1 (see Appendix X1) Pn G P1 (4) P2 + 100 G, 100 G. 100 G where: G = average specific gravity. All forms of expression of specific gravity can be av- eraged in this manner. = appropriate specific gravity values for each size fraction depending on the type of specific gravity being averaged. = weight percentages of each size fraction present in the original sample. G1, G2 ... G, P, P,.. P NOTE 5-Some users of this test method may wish to express the results in terms of density. Density may be determined by multiplying the bulk specific gravity, bulk specific gravity (SSD), or apparent specific gravity by the weight of water (997.5 kg/m' or 0.9975 Mg/m or 62.27 lb/ft at 23°C). Some authorities recommend using the density of water at 4°C (1000 kg/m3 or 1.000 Mg/m² or 62.43 lb/ft ') as being sufficiently accurate. Results should be expressed to three significant figures. The density terminology corresponding to bulk specific gravity, bulk specific gravity (SSD), and apparent specific gravity has not been standardized. 3. Absorption- Calculate the percentage of absorption, as follows: Absorption, % = [(B – A)VA]× 100
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