1. The Dissociation Equation:

Sodium carbonate (Na₂CO₃) dissociates in water according to the following equation:

Na₂CO₃ (aq) → 2 Na⁺ (aq) + CO₃²⁻ (aq)

2. Moles of Ions:

* From 1 mole of Na₂CO₃, we get:

* 2 moles of Na⁺ ions

* 1 mole of CO₃²⁻ ions

* Since we have 0.5 moles of Na₂CO₃:

* We get (0.5 mol Na₂CO₃) * (2 mol Na⁺ / 1 mol Na₂CO₃) = 1.0 mol Na⁺

* We get (0.5 mol Na₂CO₃) * (1 mol CO₃²⁻ / 1 mol Na₂CO₃) = 0.5 mol CO₃²⁻

3. Total Moles of Ions:

* Total moles of ions = moles of Na⁺ + moles of CO₃²⁻

* Total moles of ions = 1.0 mol + 0.5 mol = 1.5 mol

Therefore, 0.5 mol of Na₂CO₃ produces 1.5 moles of ions.