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Why is the net ionic equation of this neutralization reaction what it is?

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It seems like it should be

H+ + OH- >> H2O, right ???

 

everything else is aqueous and cancels (?)

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Acid + Base = Salt + water.

 

But the salt is soluble so stays in solution.

Acid + Base = Salt + water.

 

But the salt is soluble so stays in solution.

That's not quite the question being asked. Net and total ionic equations are a step after predicting the reaction itself.

 

It seems like it should be

H+ + OH- >> H2O, right ???

 

everything else is aqueous and cancels (?)

You have to determine whether something is a molecule or an ion. It's a little more convoluted for acids and bases. Generally, strong acids are written as the ions because they dissociate fully, whereas weak acids are written as the molecule. H2SO3 is not the same as the sulfite ion, hence it does not cancel.

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