Here's how to determine the balanced chemical equation for the reaction between fluorine and potassium chloride:

1. Reactants and Products

* Reactants: Fluorine (F₂) and Potassium chloride (KCl)

* Products: Potassium fluoride (KF) and Chlorine (Cl₂)

2. Unbalanced Equation

F₂ + KCl → KF + Cl₂

3. Balancing the Equation

* Fluorine (F): There are 2 fluorine atoms on the left and 1 on the right. To balance, add a coefficient of 2 in front of KF.

* Potassium (K): There is 1 potassium atom on each side, so it is already balanced.

* Chlorine (Cl): There is 1 chlorine atom on the left and 2 on the right. To balance, add a coefficient of 2 in front of KCl.

4. Balanced Equation

F₂ + 2KCl → 2KF + Cl₂

This equation is now balanced, with equal numbers of each element on both sides of the equation.