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It depends on why they "break apart". If its a reaction with another material then the products really depend on the other material and the "strong acid" you select. The customary three in the lab are HCl (Hydrochloric acid) H2SO4 (Sulphuric acid) and HNO3 (Nitric acid). The way these react also depends on whether they are diluted or concentrated. When diluted acids (all three mentioned) react with a metal oxide for example (or break apart if you like) to form the metal salt and water. for example MgO + 2HCl -> Mg(Cl)2 + H2O, or H2SO4 + CaO -> CaSO4 + H2O. With metals they can produce Hydrogen E.g. Zn + 2HCl -> ZnCl2 + H2 . When concentrated they behave differently, concentrated H2SO4 will for example "remove" the hydrogen & oxygen from sugar (which is made of Carbon Hydrogen and Oxygen joined together as a molecule) to make water leaving a sludge of very hot carbon - it is a violent reaction because H2SO4 likes water so much. This question needs a huge answer really so for more try a good Chemistry text!

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