Here's why:

* Polarity: Potassium sulfate is an ionic compound, meaning it's made up of positively charged potassium ions (K⁺) and negatively charged sulfate ions (SO₄²⁻). This makes it highly polar.

* Hexane is non-polar: Hexane (C₆H₁₄) is a hydrocarbon, meaning it's made up of only carbon and hydrogen atoms. This makes it a non-polar molecule.

* "Like dissolves like": The general rule of thumb is that polar substances dissolve in polar solvents, and non-polar substances dissolve in non-polar solvents.

Since potassium sulfate is polar and hexane is non-polar, they are not compatible and won't dissolve in each other.