Write a balanced equation for the neutralization of each of the following:

H2SO4(aq) and NaOH(aq)

HCl(aq) and Fe(OH)3(s)

H2CO3(aq) and Mg(OH)2(s)

acid + base = salt + H2O

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To write a balanced equation for the neutralization reaction, we need to determine the products formed when an acid reacts with a base. The general reaction can be represented as follows:

Acid (H+ source) + Base (OH- source) -> Salt + Water

The products of the reaction are a salt and water. A salt is formed by the combination of the positive ion from the base and the negative ion from the acid. Let's determine the balanced equations for each of the given reactions.

1. H2SO4(aq) and NaOH(aq)
H2SO4(aq) is sulfuric acid and NaOH(aq) is sodium hydroxide, which is a strong base. When they react, they form water (H2O) and a salt composed of sodium (Na+) and sulfate (SO4-2) ions.

The balanced equation for this reaction is:
H2SO4(aq) + 2NaOH(aq) -> Na2SO4(aq) + 2H2O(l)

2. HCl(aq) and Fe(OH)3(s)
HCl(aq) represents hydrochloric acid, while Fe(OH)3(s) is iron(III) hydroxide, a solid. This reaction will produce water and a salt composed of iron (III) (Fe+3) and chloride (Cl-) ions.

The balanced equation for this reaction is:
3HCl(aq) + Fe(OH)3(s) -> FeCl3(aq) + 3H2O(l)

3. H2CO3(aq) and Mg(OH)2(s)
H2CO3(aq) is carbonic acid, and Mg(OH)2(s) is magnesium hydroxide. The reaction between these compounds will yield water and a salt composed of magnesium (Mg+2) and carbonate (CO3-2) ions.

The balanced equation for this reaction is:
H2CO3(aq) + Mg(OH)2(s) -> MgCO3(s) + 2H2O(l)

Remember, when writing balanced equations, it is important to ensure that both sides of the equation have an equal number of atoms for each element and that the charges are balanced as well.