You could use a kind of reverse flotation with amine as a collector for the quartz. I assume that the quartz is the minor fraction? As a pretreatment is necessary to grind the coal down to a fine slurry. Don't grind coal dry (risk of explosion in the mill).
Flotation may be one of the option to remove the sillica. Another option will be the dimnerlization of coal with helps of chemicals. Coal in general contains the clay, carbonate and sulfides. Depending upon the concentration of mineral matter you can opt the above mentioned process.
As Ruediger said; you may use Amin collectors such as Armac C or Armac T for reverse flotation of Quartz (if silica (SiO2) content of your coal sample is due to availability of Quartz). But I think maybe you clays like Kaolinite or Illite in your coal sample; and clays could be source of Al2O3 and SiO2 impurities in your coal sample. I suggest you that before any test please use some mineralogical study and also carry out XRD test on your head sample in order to recognize mineral types. If impurities (AL2O3 or SiO2) are due to availability of Clays you cans separate clays from coal easily via hydro-cyclone.
Also I am not sure but I think with physical separation machine such as Spiral you can separate coal from other impurities.
I will be appreciated if I know more information about origin of your coal sample and impurity minerals in order to suggest you more convenient approaches.
I agree with you for possible direct flotation of Coal but with Gasoline as a collector; I fully agree with MIBC as a frother; however Pine Oil or Aero65 could be useful. If you have clay such as Kaolin and Illite you should use sodium silicate (Na2SiO4) as a depressant. But we have not any mineral as name of silica we have Quartz and the best depressant for Quartz is HF in acidic medium.
When you are using Sodium Oleate as a collector for iron impurities removal; it is possible that you will face with activation of Quartz by available Calcium and Iron Cations in this case you may use minimum amount of sodium silicate as a partially depressant of Quartz. Nevertheless best pH for coal flotation could be near native ambient (pH 7; less or more) in this case there is not any necessity to use depressant and easily as you mentioned direct flotation of coal could be applied.
your answer is perfect. silica means the minerals that have sio2 in its formula like Quartz, Kaolin and ...
Oil and Gasoline has similar properties as collector. For hydrophobic properties of coal, its flotation by oil collectors (oil and gasoline) is done by wettability of surface