Final answer:
For each mole of MgCl₂ that reacts, one mole of Mg(OH)₂ is produced according to the balanced chemical equation.
Step-by-step explanation:
In the reaction MgCl₂ + 2KOH → Mg(OH)₂ + 2KCl, the stoichiometric coefficients indicate the mole ratio of the reactants to the products. According to this balanced chemical equation, one mole of magnesium chloride (MgCl₂) reacts with two moles of potassium hydroxide (KOH) to produce one mole of magnesium hydroxide (Mg(OH)₂) and two moles of potassium chloride (KCl). Therefore, for every mole of MgCl₂ that reacts, one mole of Mg(OH)₂ is produced.