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Bulk Density Calculations

12/11/2008 12:10 PM

Hello CR4 members. Please help me out calculate -

If a Silo 12'dia x 20' height data states Shell volume 1357 ft3, Working capacity 1327 ft3 and level full 1583 ft3.

Based on this how do I calculate how many kgs capacity is stored there of following solids:

Flour: Bulk density 42 lb/ft3 (0.67 g/cc)

Sugar:Bulk density 35 lb/ft3 (0.56 g/cc)

Also what is g/cc?

Am I to multiply level full x bulk density???

Thanks & Rgds,

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#1

Re: Help me calculate

12/11/2008 1:21 PM

g/cc = gram/cubic centimeter

1' = 12" = 12x2.54 cm = 30.48 cm. With this conversion factor you compute your volumes in cc and x by the specific weight in g/cc. You obtain a weight in grams, divide it by 1000 and get the result in kg as you want to have it.

For your information if you ask google for "units conversion" you have a lot of free calculators for all possible units.

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#2
In reply to #1

Re: Help me calculate

12/11/2008 2:38 PM

Thank you nick name. Indeed a great help.

Now please help me out in calculating with the Volume data given and bulk density ft3.

Thanks n Rgds.

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#3
In reply to #2

Re: Help me calculate

12/11/2008 3:35 PM

g/cc = grams per cubic centimeter

1 lb/ft3 = 0.01601846 g/cc

Working in imperial units:

Total silo volume = (pi)(r2)(h) = (pi)(62)(20) = 2262 ft3

However, you mention that the full volume is only 1583 ft3, so we'll work with this.

Weights:

1 lb = 0.4535924 kg

FLOUR: 42 lb/ft3 X 1583 ft3 = 66486 lbs = 30157.54 kg

SUGAR: 35 lb/ft3 X 1583 ft3 = 55405 lbs = 25131.29 kg

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#7
In reply to #3

Re: Help me calculate

12/11/2008 8:28 PM

My dear "Guest" - my "know-it-all" mystic buddy ! Thank you.

I've been desperately looking around to calculate this for now nearly 2 months but afraid to ask for, others might think I'm asking a stupid question. Well as it says in over 90% drawings " When in doubt - ask". I told myself, 'what the heck, go ahead ask my friends'.

Thank you. now I can calculate both in ft3 & g/cc on bulk density of any solids.

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#12
In reply to #7

Re: Help me calculate

12/11/2008 9:39 PM

I am actually not so mystic now - I have registered and have a profile

But apparently did not sign in for that answer.

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#13
In reply to #12

Re: Help me calculate

12/11/2008 9:44 PM

I may have missed it. Please name?

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#14
In reply to #13

Re: Help me calculate

12/11/2008 10:06 PM

My name is "Guest." - you can click on my profile to the left

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#15
In reply to #14

Re: Help me calculate

12/11/2008 10:15 PM

MYSTIC AGAIN!!! Ok atleast I can adress as 'Guest'.

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#9
In reply to #3

Re: Help me calculate

12/11/2008 8:44 PM

However, you mention that the full volume is only 1583 ft3,

I have been very closely following thread " Recovery in Belt Conveyor and Bucket Elevators" raised by Gussosa with Babybear, DaveB & Phoenix911 contributing in.

Babybear vide thread# 38 mentions a site : www.powderbulk.com.

I went there and came across Calculator for Silo among other calculators. So I put in a dia 12ft x 20 ft (Eave height) and came across 1583 ft3 as level full mentioning.

Now I have a site where I can calculate exact size of Silos as well as work on with your calculation for any solids for its volume.Thanks again.

PS

I'll be thanking Babybear too in his thread.

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#4
In reply to #2

Re: Help me calculate

12/11/2008 5:27 PM

I am sorry but I thought that you had a conversion problem not a product one, I assumed that you can compute a volume and a weight. Now you have from the other answer the result you wanted.

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#5
In reply to #4

Re: Help me calculate

12/11/2008 5:47 PM

Yeah I think the problem could have been what exactly is "bulk density". So I will offer this:

Bulk density is the density of a volume of material, usually soils, powders, particulates that includes the material and the air trapped in between particles. Because each "particle" can not pack completely tight to the surrounding particles (and most particles will be different sizes with different edges), there will always be open space in the volume.

Regular "Density" or absolute density only accounts for the material itself.

In this case it is proper to use the bulk density.

As a side note: the absolute density is always higher than the bulk density. If you were to accurately weigh a single particle (a very small number), such as a single crystal of sugar and determine it's volume accurately (another very small number) - you could calculate the absolute density - but that would only be for academic purposes and would not really be of a practical nature.

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#8
In reply to #4

Re: Help me calculate

12/11/2008 8:30 PM

No problem nick name my mistake. You nevertheless have been a great help. and Thank you.

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#6

Re: Bulk Density Calculations

12/11/2008 7:12 PM

Are you taking the angle of repose into account?

Or do you have a leveling screw?

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#10
In reply to #6

Re: Bulk Density Calculations

12/11/2008 9:08 PM

Angle of response? When I went to www.powderbulk.com and worked on their calculator with example of Silo 12 ft x 20ft (Eave height)it mentioned :

Dia Eave Hopper Outlet Clear- Response Hopper Hopper Strgt. Level Shell Working Sp.

ft Ht. degree ft ance Ht. Vol Wall Full Vol cap. Elev

12' 20' 45 1' 2.5' 25' 5.5' 226 ft3 12' 1583 1357 1327 8'

Now by angle you mean 45? & Response 25?

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#11
In reply to #10

Re: Bulk Density Calculations

12/11/2008 9:11 PM

Sorry :

Dia : 12 ft, Eave Height:20', Hopper degree: 45, Outlet: 1ft, Clearance 2.5ft, Response:25, Hopper height: 5.5ft, Hopper Volume:226 ft3, Straight Wall: 12 ft, Level full: 1583 ft3, Shell volume: 1357 ft3, Working capacity: 1327 ft3, Specific Elevation: 8 ft.

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#16
In reply to #11

Re: Bulk Density Calculations

12/12/2008 1:25 AM

Repose- the angle a pile of what ever slumps to by gravity, add more and it slides off to form the same angle of repose. Different materials have different angles. It is a base to hight relationship.

is this by chance your school work?

Brad

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#17
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Re: Bulk Density Calculations

12/12/2008 1:39 AM

Nay! I'm a grand dad. My real job is Energy Conservation in thermal-field of processing industries. Look up my web page: www.duconems.com. A client of mine because of my association with for over 30 years has entrusted me with helping him undertake Flour & sugar transfer to silos & processing (mixing plants of biscuit manufacturing). Never was my field but he'd not listen or trust anybody else.

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#19
In reply to #17

Re: Bulk Density Calculations

12/12/2008 3:29 PM

Don't forget to take into account some materials may bridge. By this I mean, as the material is unloaded it may pack above the "unloading" screw conveyor and needs to be "broke" up.

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#18

Re: Bulk Density Calculations

12/12/2008 3:03 PM

Hi Ducon

If you want to design silos you need this book, or any other one of the Reimbert brothers.

For bulk handling conveyors this one is the best. This other one has been quite recommended to me.

The angle of repose is the angle of the slope of a pile of grain. Most silos are designed using a 27º slope. This means that your maximum capacity would be the lower cone (only if it is a hopper silo), the volume of the cylinder and then this cone at the top that has a slope of 27º. The roof has a slope of 30º. The bottom of the silo usually could be flat (to be emptied using bulldozers, shovels, brooms or a screw conveyor), 45º conical (dry loose material) or 60º conical (wet granules or powders). Those are the rules of thumb. If you do the maths something else may prove to be good.

For inert materials like flour, sand, sugar and coal you may fill the silo "up to the mouth", as long as the structure can handle the pressure. For grains you really don't want that cone to ever exist, as it will lead to bad aeration and decay / infestation in the center of the silo. As UV said, in grain storage the top of the mass must be leveled.

Storing bulk solids is not like storing water. During the unloading the silo suffers friction in the walls and it WILL collapse if you designed it as if it was a water tank. It is hard for me to give the details here.

Start by reading the chapter on solids at Perry's Chemical Engineer Handbook. Then read Reimbert's book.

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#20
In reply to #18

Re: Bulk Density Calculations

12/12/2008 4:09 PM

Gussosa Thanks. I'll look up the books mentioned.

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#21
In reply to #18

Re: Bulk Density Calculations

12/13/2008 12:22 AM

If you want to design silos you need this book, or any other one of the Reimbert brothers. - This book sold out & not available.

For bulk handling conveyors this one is the best. This one too sold out.

This other one has been quite recommended to me. Available .

When I go to Toronto/NY coming march I'll fish around and see whatever I can get my hands on.

Meanwhile thanks for these references, Now i know what types of books to look around for.

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#22
In reply to #21

Re: Bulk Density Calculations

12/13/2008 6:21 AM

The publisher of Reimbert's book is Lavoisier. Look for other books at the site.

http://www.lavoisier.fr/fr/livres/index.asp?texte=reimbert&select=motcle&exact=on&togo=&support=NULL&from=

This is another book that deals with silo design:

http://www.amazon.com/exec/obidos/ASIN/3540737677/powdeandbulkdotc

However, it isn't as straightforward as Reimbert. It deals mostly with the physics of bulk solids and not that much with the silo problem.

In the meanwhile, you can read this article for free:

http://www.jenike.com/TechPapers/load-dev-silo-design.pdf

And check other stuff at Jenike's site.

http://www.jenike.com

If you want to throw yourself in this business, maybe attending a seminar of Jenike's company would pay.

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#23

Re: Bulk Density Calculations

12/13/2008 7:13 PM

Hello ducon,

I think you will find these tables and charts useful from powderandbulk.com

http://www.powderandbulk.com/resources/bulk_density/material_bulk_density_chart_a.htm

The site also has everything else needed to move the grain etc to port and load/unload ships.

It is a really interesting site and can save a lot of time if you can find the bulc grain or item you need details of.

Good luck and happy holiday....................

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#24

Re: Bulk Density Calculations

12/13/2008 7:18 PM

Hello ducon,

I found these Bulc capacity calculors which calculate according to the shape of the 'Tank' shape and size.

Tank Capacity Calculators

Dry Bulk Capacity Calculator
This calculator is for welded or bolted silos. Options include silos elevated by skirts, legs or other structural support members. Yields working volume and other values.

Liquid Flat-Bottom Capacity Calculator
Basic ground storage tank with a flat bottom calculator. Yields the working and total volume of the tank. Allowance made for free board.

Liquid Slope-Bottom Capacity Calculator
Basic ground storage tank with a flat, sloped bottom calculator. Yields the working and total volume of the tank. Allowance made for free board.

Liquid Hopper-Bottom Capacity Calculator
Elevated conical bottom storage tank calculator. Yields the working and total volume of the tank, plus springline elevation. Allowance made for free board.

Horizontal Tank Capacity Calculator
Horizontal storage tank calculator with options for ASME, dished, standard, elliptical or hemi-spherical tank ends. Yields the working and and total volume of the tank.

Liquid Dished-Bottom Capacity Calculator
Elevated dished bottom storage tank calculator with options for ASME, dished, standard, elliptical or hemi-spherical tank bottom. Yields the working and total volume.

Capacity Calculators Provided by
Tank Connection

Copyright © 2004 The Tank Connection. All rights reserved.

I forgot to send these with the last post............

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#25
In reply to #24

Re: Bulk Density Calculations

12/13/2008 10:48 PM

Dear babybear,

Yes because of you I was able to reach these sites and work on the calculators. I don't care what others would say but, you are worth cuddling.The 'Guest' too, for I am in constant email communication with him for the past 3/4 days and he has emailed me a couple of really good books . babybear thank you very very much.

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#26
In reply to #25

Re: Bulk Density Calculations

12/13/2008 10:51 PM

Addition - sorry, Gussosa too. The Book he sent me too is helping me a lot.

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#30
In reply to #26

Re: Bulk Density Calculations

12/14/2008 8:39 AM

Sorry, I strongly pass. You just aren't my type.

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#31
In reply to #30

Re: Bulk Density Calculations

12/14/2008 11:33 AM

Hello gussosa,

How are you?

Have you made any decisions about if you might go for an on-line learning course? Or are you still at Uni'?

By the way, anyone is my type, I am getting desperate!

Sorry, I strongly pass. You just aren't my type.

You have three threads open now. Have you gotten your head around the various suggestions and made any hard decisions yet on any of the three related subjects?

Can I just ask where you are? Just the Country and rough area N, E, S, W? I got the impression you were in Europe sending any work and info' by web? That was my first thoughts. Now I think you may be in South America?

You mentioned about how conveyors are designed 'over-spec' to give a certain extra delivery? When it comes down to it, I would imagine you would have the same belts or belt-lifters, but to move more in a shorter time they would fit a stronger faster motor? So the basic machine requirement is about the same, and the addition for the larger motor is a very small % of the total?

Have you figured how you are going to move the 600.......10 tons a minute?

I hope to continue talking, as I have learned a lot. Look in your PM.

Take care and have a wonderful holiday

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#32
In reply to #31

Re: Bulk Density Calculations

12/16/2008 11:24 AM

Yes, the drives and the motors are so designed to withstand a tougher work. However, it is not my job (yet) to design conveyors. I merely specify them. What I have to say is "give me a X conveyor that moves Y tons per hour of Z material, from here to there". Choosing the belt, the motors, the thickness and type of steel and other stuff is up to the manufacturer of the conveyors.

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#33
In reply to #32

Re: Bulk Density Calculations

12/16/2008 11:44 AM

Based on several previous cases I would suggest that in your spec you include the delivery of a total compputational proof that the conveyor corresponds to the functional specification and that under given functional conditions it will offer the required life expectancy and the MTBF which economical to you. Of course under different conditions those parameters will be different but it is good to have a reference value.

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#34
In reply to #33

Re: Bulk Density Calculations

12/16/2008 10:16 PM

Hello Nick,

Based on several previous cases I would suggest that in your spec you include the delivery of a total computational proof that the conveyor corresponds to the functional specification and that under given functional conditions it will offer the required life expectancy

Clever advice from you Nick. Maybe even, where possible, give the client the choice of two or more Manufacturers conveyors or systems?

Take care and happy holiday..............

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#27
In reply to #25

Re: Bulk Density Calculations

12/14/2008 12:11 AM

Hello ducon:

I am pleased I helped a little. Umm, you can cuddle me any time you want! Please say you are a girl?.........Just don't tell anyone I said this OK?

So all my hours spent helping gussosa were worth it then. Can I ask what work you are doing?

Keep in touch please, OK?

Take care and happy holiday.....................

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#29
In reply to #27

Re: Bulk Density Calculations

12/14/2008 2:57 AM

Honestly not Conveying. see my web. www.duconems.com . But, I'm now involved with conveying system for the first time.

I may have sent you this already, but this caculator can save you a lot of time and has how to convert weight to volume also. (could,t find a better sime;y with a BIG smile. That's Sparky's work)

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#28
In reply to #25

Re: Bulk Density Calculations

12/14/2008 12:29 AM

Hello ducon,

I may have sent you this already, but this caculator can save you a lot of time and has how to convert weight to volume also.

bookmark Convert-Me.Com!

How to convert: Weight to Volume Conversion


<< conversion home page | switch to: Mass and WeightDistance and LengthCapacity and VolumeAreaSpeedAccelerationTemperatureTimeStress and PressureEnergy and WorkPowerTorqueFlow rate by volumeFlow rate by massCircular measureComputer storageData transfer rateFuel EconomyCookingWeight to VolumeFractions and PercentCurrency Rates



Online Weight to Volume Converter Convert Weight to Volume Units Instantly


Weight to Volume conversion is easy.
Type your value next to the unit you want to convert and click "Convert" button.
Still don't understand how to convert?

Help is here. Significant figures: 1234567 Group digits in long numbers
This conversion results depend on the particular substance.
Please start by picking your substance:
1,1,2-trichlorotrifluoroethane (77F, 25C) 1,2,4-trichlorobenzene (68F, 20C) 1,4-dioxane (68F, 20C) 2-methoxyethanol (68F, 20C) acetic acid (77F, 25C) acetone (77F, 25C) acetonitrile (68F, 20C) alcohol, ethyl (77F, 25C) alcohol, methyl (77F, 25C) alcohol, propyl (77F, 25C) alfalfa, ground alum, lumpy alum, pulverized alumina ammonia (aqua) (77F, 25C) ammonia gas ammonium nitrate ammonium sulphate - dry ammonium sulphate - wet andesite, solid antimony, cast apples arsenic asbestos rock ash, black ash, white aspen asphalt, crushed automobile oils (59F, 15C) bagasse bakelite, solid baking powder balsa barite, crushed barium bark, wood refuse barley basalt, broken basalt, solid bauxite, crushed beans, castor beans, cocoa beans, navy beans, soy beer (varies) (50F, 10C) beeswax beets bentonite benzene (77F, 25C) beryllium bicarbonate of soda birch (British) bismuth bones, pulverized borax, fine bran brewers grain brick, common red brick, fire clay brick, silica bromine (77F, 25C) buckwheat butane (77F, 25C) butter butyric acid (68F, 20C) cadmium calcium carbide caproic acid (77F, 25C) carbolic acid (59F, 15C) carbon dioxide carbon disulfide (77F, 25C) carbon monoxide carbon tetrachloride (77F, 25C) carbon, powdered carbon, solid cardboard carene (77F, 25C) castor oil (77F, 25C) cedar, red cement, Portland cement, mortar chalk, solid charcoal chlorobenzene (68F, 20C) chloroform chloroform (68F, 20C) chloroform (77F, 25C) chocolate, powder chromium chromium ore citric acid (77F, 25C) clay, dry excavated clay, wet excavated clover seed coal, anthracite, broken coal, anthracite, solid cobaltite ( cobolt ore ) coconut oil (59F, 15C) coconut, meal coconut, shredded coffee, fresh beans coffee, roast beans concrete, asphalt concrete, gravel copper copper sulfate, ground cork, ground cork, solid corn, grits corn, on the cob cotton seed oil (59F, 15C) creosote (59F, 15C) cresol (77F, 25C) crude oil, 32.6 API (60F, 15C) crude oil, 35.6 API (60F, 15C) crude oil, 40 API (60F, 15C) crude oil, 48 API (60F, 15C) crude oil, Mexican (60F, 15C) crude oil, Texas (60F, 15C) crude oil,California (60F, 15C) cryolite cullet culm cumene (77F, 25C) cyclohexane (68F, 20C) cyclopentane (68F, 20C) cypress decane (77F, 25C) dichloromethane (68F, 20C) diethyl ether (68F, 20C) diethylene glycol (59F, 15C) dimethyl acetamide (68F, 20C) dimethyl sulfoxide (68F, 20C) dodecane (77F, 25C) dolomite, lumpy dolomite, pulverized dolomite, solid earth, dense earth, loam, dry, excavated earth, moist, excavated earth, packed earth, soft loose mud earth, wet, excavated elm (English) elm (wych) emery ethane (-128F, -89C) ether ether (77F, 25C) ethyl acetate (68F, 20C) ethyl ether (68F, 20C) ethylamine (61F, 16C) ethylene dichloride (68F, 20C) ethylene glycol (77F, 25C) feldspar, pulverized feldspar, solid fertilizer, acid phosphate fish, meal fish, scrap flint - silica flour, wheat fluorspar, lumps fluorspar, pulverized fluorspar, solid formaldehyde (113F, 45C) formic acid 10% concentration (68F, 20C) formic acid 80% concentration (68F, 20C) freon - 11 (70F, 21C) freon - 21 (70F, 21C) fuel oil (60F, 15C) furan (77F, 25C) garbage, household rubbish gas oils (60F, 15C) gasoline, vehicle (60F, 15C) glass, window glucose (60F, 15C) gluten, meal glycerin (77F, 25C) gold grain - barley granite, broken granite, solid graphite, flake gravel, dry 1/4 to 2 inch gravel, loose, dry gravel, wet 1/4 to 2 inch gypsum, crushed gypsum, pulverized gypsum, solid halite (salt), broken halite (salt), solid heptane (77F, 25C) hexane (77F, 25C) hexanol (77F, 25C) hexene (77F, 25C) hydrazine (77F, 25C) hydrochloric acid 40% ice, crushed ice, solid ilmenite iodine (77F, 25C) ionene (77F, 25C) iridium iroko iron iron oxide pigment iron pyrites iso-octane (68F, 20C) isobutyl alcohol (68F, 20C) isopropyl alcohol (68F, 20C) isopropyl myristate (68F, 20C) ivory kaolin, green crushed kaolin, pulverized kerosene (60F, 15C) larch lead lead, red lead, rolled - see metals table lead, white pigment leather lignite, dry lime, hydrated lime, quick, lump lime, wet or mortar limestone, broken limestone, pulverized limestone, solid limonite, broken limonite, solid linolenic acid (77F, 25C) linseed oil (77F, 25C) linseed, meal linseed, whole magnesite, solid magnesium magnesium oxide magnesium sulphate, crystal magnetite, broken magnetite, solid ( iron ore ) malt manganese oxide manganese, solid manure maple marble, broken marble, solid marl, wet, excavated mercury methane (-263F, -164C) methanol (68F, 20C) mica - flake mica - powder mica, broken mica, solid milk (59F, 15C) milk, powdered molybdenum molybdenum ore n,n-dimethylformamide (68F, 20C) n-butyl acetate (68F, 20C) n-butyl alcohol (68F, 20C) n-butyl chloride (68F, 20C) naphtha (59F, 15C) nickel nickel ore nickel silver nickel, rolled nitric acid, 91% nitrogen o-dichlorobenzene (68F, 20C) o-xylene (68F, 20C) oak, red oats ocimene (77F, 25C) octane (59F, 15C) oil, linseed oil, petroleum olive oil (68F, 20C) oxygen oxygen (liquid) (-297F, -183C ) oyster shells, ground palmitic acid (77F, 25C) paper, standard peanuts, not shelled peanuts, shelled peat, dry peat, moist peat, wet pecan wood pentane (68F, 20C) pentane (77F, 25C) petroleum ether (68F, 20C) phenol (77F, 25C) phosgene (32F, 0C) phosphate rock, broken phosphorus pinene (77F, 25C) pitch plaster platinum platinum ore plutonium porcelain porphyry, broken porphyry, solid potash potassium chloride potatoes, white propane (-40F, -40C) propane, R-290 (77F, 25C) propanol (77F, 25C) propylene (77F, 25C) propylene carbonate (68F, 20C) propylene glycol (77F, 25C) pumice, stone pyridine (77F, 25C) pyrrole (77F, 25C) quartz sand quartz, lump quartz, solid rape seed oil (68F, 20C) redwood (American) redwood (European) resin, synthetic, crushed resorcinol (77F, 25C) rice grits rice, hulled rice, rough rip-rap rosin rosin oil (59F, 15C) rubber, caoutchouc rye salt cake salt, fine saltpeter sand with gravel, dry sand with gravel, wet sand, dry sand, loose sand, rammed sand, wet sand, wet, packed sandstone, solid sawdust sewage, sludge shale, broken shale, solid silane (77F, 25C) silver smithsonite (zinc ore) snow, compacted snow, freshly fallen soap, flakes soap, powdered soap, solid soapstone talc soda ash, heavy soda ash, light sodium sodium aluminate, ground sodium hydroxide (caustic soda) (59F, 15C) sodium nitrate, ground soya bean oil (59F, 15C) spruce (Canadian) spruce (Sitka) starch, powdered stearic acid (77F, 25C) steel - rolled stone (common, generic) stone, crushed styrene (77F, 25C) sugar solution 68 brix (59F, 15C) sugar, brown sugar, granulated sugar, powdered sugar, raw cane sugarbeet pulp, dry sugarbeet pulp, wet sugarcane sulphur, lump sulphur, pulverized sulphur, solid sulphuric acid 95% conc. (68F, 20C) sunflower oil (68F, 20C) sycamore taconite talc, broken talc, solid tar terpinene (77F, 25C) tetrahydrofuran (68F, 20C) tin titanium tobacco toluene (68F, 20C) toluene (77F, 25C) trap rock, broken trap rock, solid triethylamine (68F, 20C) trifluoroacetic acid (68F, 20C) tungsten turf turpentine (77F, 25C) uranium vanadium walnut, black, dry water, pure (39F, 4C ) water, sea (77F, 25C) whale oil (59F, 15C) wheat wheat, cracked willow wool zinc zinc oxide

It might be more convenient to pick the substance from the list below

Caution! The density of a substance can vary a lot depending on its conditions.
Weight to volume conversions are therefore only approximate.
Metric Weight/Mass
tonne
kilogram (kg)
gram (

Take care.....................

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