Yes, the neutralization reaction between Al(OH)3 and HNO3 does produce a salt with the formula Al(NO3)3. To check this, we can look at the balanced chemical equation for the reaction:
Al(OH)3 + 3HNO3 → Al(NO3)3 + 3H2O
In this reaction, 1 mole of Al(OH)3 reacts with 3 moles of HNO3 to produce 1 mole of Al(NO3)3 and 3 moles of water (H2O).
The formula Al(NO3)3 represents the salt formed in this reaction. It is important to note that H2O, although involved in the reaction, is not considered part of the salt. Instead, it is a product of the reaction and is classified as a separate compound.
So, to summarize, the neutralization reaction between Al(OH)3 and HNO3 does produce a salt with the formula Al(NO3)3, but the byproduct of the reaction is water (H2O) and is not part of the salt itself.