Base-Acid Reactions: Sulfate Ions & Nitric Acid

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pivoxa15
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Sulphate ions and nitric acid wouldn’t react? Is it because sulfuric acid is a very strong acid, while nitric acids are very weak. So the conjugate base of sulfuric acid which is sulphate ions is very weak and too weak to accept the proton from a weak acid like nitric acid. When you have a weak base and weak acid, they usually don’t react. Is there a more proper/better way of explaining this?
 
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Nitric acid is not that weak, in fact it is 1000 times stronger than HSO4-, although 100 times weaker than H2SO4 (in terms of dissociations constants).

Borek
 
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