The following section will try to explain some of the chemical processes taking place when "Acid Rain" causing chemicals get into the atmosphere.
Carbon Dioxide can dissolve in water, some of which forms Carbonic Acid. Carbonic Acid releases H+ making the water slightly acidic.
Sulphur in coal released as Sulphur Dioxide.
Sulphur Dioxide can dissolve in water, some of which forms Sulphurous Acid, which releases H+ making the water slightly acidic.
Oxidation produces Sulphur Trioxide.
Sulphur Trioxide dissolves in water, forming Sulphuric Acid.
Sulphuric Acid dissociates into H+ and the Hydrogen Sulphate ion, making acidic water.