What is the chemical equation for $N{H_4}OH$ dissolution in water?

Hint: Ammonium hydroxide has a high solubility in water and is non-volatile. Ammonium hydroxide is moderately poisonous to mammals and offers a risk of bioaccumulation.

Complete step-by-step answer:
A solution of ammonia in water has the chemical formula $N{H_4}OH$. Ammonia water, ammonium hydroxide, ammonia liquor, and aqueous ammonia are also terms for the same solution. The symbol $N{H_3}(aq)$ is sometimes used to represent $N{H_4}OH$.

When one substance, the solute, "dissolves" into another substance, the solvent, a solution is formed. When a solute dissolve, it splits up into smaller units or individual molecules from a larger crystal of molecules. Getting into contact with the solvent causes the breakup.

The mechanism by which a solute in a gaseous, liquid, or solid phase dissolves in a solvent to form a solution is known as dissolution. Solubility is the ability to dissolve anything. The maximal concentration of a solute that can dissolve in a solvent at a given temperature is called solubility.

When $N{H_4}OH$ is dissolved in water, the ion-water attraction overcomes the ion-ion attraction, and the ammonium cation and hydroxide anion are formed.
$N{H_4}OH(aq) \to NH_4^ + (aq) + O{H^ - }(aq)$

Additional Information: Polar compounds have unique positive and negative charge regions as a result of bonding with nitrogen, oxygen, or sulphur atoms. The polarity or charge that the molecules bear causes them to behave differently than non polar compounds in certain situations.

Therefore, this is the chemical equation for $N{H_4}OH$ dissolution in water.

Note: As water is a polar compound, "like dissolves like." It will dissolve if the solute is a polar compound (in general, not intra molecular forces). The general polarity of a substance can be determined by observing its molecular shape. It's non-polar if it's symmetrical.