Here's how to write the balanced equation for the reaction of potassium iodide (KI) with chlorine (Cl₂) to form potassium chloride (KCl) and iodine (I₂):

Unbalanced Equation:

KI + Cl₂ → KCl + I₂

Balancing the Equation:

1. Count the atoms on each side:

- Left side: 1 K, 1 I, 2 Cl

- Right side: 1 K, 1 Cl, 2 I

2. Adjust coefficients to balance the atoms:

- To balance chlorine, place a coefficient of 2 in front of KCl on the right side:

KI + Cl₂ → 2KCl + I₂

- To balance potassium, place a coefficient of 2 in front of KI on the left side:

2KI + Cl₂ → 2KCl + I₂

Balanced Equation:

2KI + Cl₂ → 2KCl + I₂

This equation is now balanced because it has the same number of each type of atom on both sides.