Ammonium chloride (NH4Cl) is an acid and sodium hydroxide (NaOH) is a base. Therefore, the reaction between them is an acid-base reaction, specifically a neutralization reaction. The balanced equation for this reaction is:

In a word equation:

ammonium chloride + sodium hydroxide → ammonia + water + sodium chloride

Input interpretation:

NH4Cl + NaOH → NH3 + H2O + NaCl

This equation shows that ammonium chloride and sodium hydroxide react to form ammonia, water, and sodium chloride.

Balanced equation:

To balance this chemical equation, we follow a few steps. First, we add stoichiometric coefficients, c, to the reactants and products. This gives us:

c1NH4Cl + c2NaOH → c3NH3 + c4H2O + c5NaCl

Next, we set the number of atoms in the reactants equal to the number of atoms in the products for each element. In this case, we have Cl, H, N, Na, and O. This gives us:

Cl: c1 = c5

H: 4c1 + c2 = 3c3 + 2c4

N: c1 = c3

Na: c2 = c5

O: c2 = c4

Since the coefficients are relative quantities and underdetermined, we choose a coefficient to set arbitrarily. To keep the coefficients small, we typically set one coefficient to one. For example, we can set c1 = 1 and solve the system of equations for the remaining coefficients. This gives us:

c1 = 1

c2 = 1

c3 = 1

c4 = 1

c5 = 1

Substituting these coefficients back into the chemical reaction, we obtain the balanced equation:

NH4Cl + NaOH → NH3 + H2O + NaCl

This means that one molecule of ammonium chloride and one molecule of sodium hydroxide react to produce one molecule of ammonia, one molecule of water, and one molecule of sodium chloride.