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Simple methods for calculating mineral specific gravity and bulk density: The significance of experimental results in mineral administration.

 

Knowing the bulk density of mineral and mineral products are important for a Geologist who is engaged in mineral administration. The royalty of the minerals are computed based on the weight of the mineral. The bulk density of the mineral when it is in-situ is different from when it extracted and stored. Likewise, when a mineral is crushed into different sized mineral products, the bulk density varies. Usually, the Geologists have to measure the weight of the mineral stocked in a stock yard of dealer’s license holder or may have to find out the weight of the mineral or its products while transporting the same in vehicles.

At present, the royalty of the mineral is given as per weight of mineral in tonnes. However, in mining plans, the mineable reserves are mentioned as volume. In order to compute the royalty amount, the weight of the mineral is to be computed. Another scenario may be like one person has stocked different sized granite aggregates (rubble, metal, M-Sand etc.) illegally and the geologist has to compute the royalty of the mineral. Since it is not practical to weigh the mineral, usually volume of the mineral/mineral product is computed using measuring tape and then convert the same to weight of the mineral.

In this report, two simple methods are suggested for calculating bulk density and specific gravity using apparatus/tools found at home

Method for determining the bulk density

The items required for measurement of bulk density are given below:

1.      A container having regular shape

2.      A weighing machine

3.      A measuring scale

 Procedure:

1.      Measure the volume of container ( in cubic meter)

2.      Measure the weight of empty container (in kg)

3.      Measure the weight of the mineral or mineral products (in kg)

Knowing the weight of the mineral/mineral products for a known volume calculate the weight of the mineral for 1 cubic meter

 

Container and weighing machine (1 gram accuracy)


Plot from where soil was collected



Measuring the weight of the loose soil


Measuring the weight of biotite gneiss


 It may be noted that for same mineral, the bulk density varies depending on the condition at which the measurement is taken. For example, the size of aggregate, shape of aggregate, packing of aggregate etc. affects the bulk density values when it comes to crystalline rock and void space, compactness, moisture content etc. affects the bulk density values.  It may be noted that the compactness of the soil (ordinary earth) varies from top to bottom of a soil profile. The soil found the bottom will be more compact and hence the in-situ bulk density will be more. The bulk density of soil found in one place may be different from the soil found in another place. The rains also play a major role in variation of bulk density.

Method for determining the specific gravity

However, we have to find out the specific gravity of the mineral to know the in-situ bulk density. For example, if someone say, the mineable mineral resource is 2 lakhs cubic meters of Charnockite, then royalty has to be computed for the same. The royalty is computed as per the weight of mineral in tonnes.

The simplest way of finding out specific gravity of mineral is by using Pycnometer Method. A pycnometer allows measuring the volume and the density of solid objects in a non-destructive manner.


Method:

First, the following weights are measured using a balance as shown below:


                 


 The specific gravity is calculated using the following formula

= [M2-M1] / [ (M2-M1) – (M3-M4)]

Where,

G = Specific Gravity

M1 = Mass of empty container

M2 = Mass of Container + Dry Soil

M3 = Mass of Container + Dry Soil + Water

M4 = Mass of Container + Water

If a pycnometer is not available, an ordinary glass jar can be used.

Glass jar used in lieu of pycnometer



Measuring the SG of soil sample



Measurements for different minerals were taken and the results are given below:


Discussion

The methods used in this study are very crude but are based on proven scientific methods. The accuracy of the values arrived may not be that good. But it will give a clear idea about how one has to take specific gravity and bulk density data while computing the royalty of minerals which occur in-situ as well as stocked in the form of different aggregates. These methods can be replicated in laboratories and the accuracy of such data will be very high.

The results obtained in the above method was compared the published data. For building stone, the specific gravity ranges from 2.6 to 2.9. The results obtained are also on par with the published data. It can be seen that the specific gravity of laterite comes to 2.045 and that of ordinary earth comes to 1.978. There are different types of laterite (ferruginous laterite, aluminous laterite etc.) and the specific gravity varies as the composition changes. Similarly, for ordinary earth also specific gravity changes with the change in chemical composition and due to the presence of organic materials. Therefore, it is not possible to generalize the specific gravity using one or two values.

Importance of specific gravity and bulk density in mineral administration

In mineral administration, one has to keep in mind that when permit or lease is granted, the weight of the mineral in metric tonnes (based on which royalty is computed) should be computed by multiplying specific gravity of the mineral multiplied with the volume of mineral.  Once a  mineral is extracted and stored, the weight of the mineral so stored shall be computed by multiplying the bulk density with volume of the mineral stored.

In the above experiment, both the specific gravity and bulk density of same mineral has been computed and the results are discussed below.


Depending on the size, packing of grains, water content and void space, the bulk density varies. So when an aggregate heap is measured, the weight of the aggregate has to be computed using bulk density and not by using specific gravity. Similarly, when a mining plan is approved, the weight of the mineable mineral reserve shall be computed using the actual specific gravity value.

The specific gravity value of ordinary earth/soil is to be used with utmost care. The specific gravity of soil is the average of specific gravity sand, silt, clay and organic material present in the soil.


Even though the specific gravity of soil is 1.978, the weight of one cubic meter in-situ soil (compact) after a rain is about 1.58 tonnes and during summer season, with lowering of moisture content, the weight reduces to 1.355 tonnes. Similarly the weight of loose soil that is loaded into a lorry also shows different weight per cubic meter depending on the moisture content.

Conclusion

A geologist who is engaged in mineral administration should know the difference between specific gravity and bulk density. When it comes to ordinary earth, there is no way to get the correct weight per cubic meter as the weight varies on different factors (some factor not even connected to the property of minerals found in soil). For computing actual weight of crystalline rocks, a database of specific gravity of rocks occurring in the state can be made by making scientific measurements. In case of laterite, the specific gravity varies from place to place depending on the mineral content. Specific gravity values of ordinary earth/soil are of no use to compute the weight of the in-situ mineral. Moreover, the mineral administrators can not keep on changing values as per the whims and fancies and hence a consensus has to be reached to fix an average value. At present, the specific gravity value of 2 is taken for soil, but in actual scenario, the value may be somewhere between 1.5 to 1.7.  An average value of 1.6 would be a safe bet.


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