Answer : The balanced chemical reaction will be,

Explanation :
Balanced chemical reaction : It is defined as the number of atoms of individual elements present on reactant side must be equal to the product side.
As per question, when solid potassium react with liquid water then it gives potassium hydroxide solution and hydrogen gas as a product.
Thus, the balanced chemical reaction will be,

In this reaction, potassium is in solid state, water is in liquid state, potassium hydroxide is in aqueous state and hydrogen is in gaseous state.