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I have a question about converting Solids concentartion by precent volume to Solids concentration by precent...

I have a question about converting Solids concentartion by precent volume to Solids concentration by precent weight.

in a mineral processing problem we were given the solid concentration by precent weight and and asked to convert it to solid concentartion by precent volume as following:

55% w/w (given)

SG = 2.95

assuming we have 100 g of solids

we found first the volume of the solids that way:

Vs = [(100g*(55/100))/2.95] = 18.64407

then we found the volume of water which is:

Vw = 100*(100-(55/100))= 45

and using that we found the solid concentration by volume to be:

V/v %= [18.64407/(18.64407+45)]*100 = 29.29
now my question is how do we find the solid concnetration by wieght is we were just given the solid concentartion by volume and the SG solids and assuming we have 100g?

becuase I was given a question with just a solid conentration of volume (30%) and SG solids (2.8) and asked to find the solid concentration of weight which is the opposite of the above problem but didn't know how to do that. so, please see the above approach and based on that you should find the concentration by volume.

Note: this is all the information given and my profosser told me to follow the above problem in order to solve this one. So, please if you don't know the aswer don't say missing information because this is all I got.

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