Answer:
The concentration of potassium (K⁺) ions in the solution of 153 mL of 1.25 M K₃PO₄ is 3.75 moles
Step-by-step explanation:
The parameters given are;
Volume of K₃PO₄ = 153 mL = 0.153 L
Concentration of K₃PO₄ = 1.25 M
The ionization of K₃PO₄ is as follows;
K₃PO₄ ⇄ 3·K⁺ (aq) + PO₄³⁻ (aq)
Therefore, 1 mole of K₃PO₄, produces 3 moles of potassium (K⁺) ions
Hence, the number of moles of K₃PO₄ in 153 mL of 1.25 M K₃PO₄ is found as follows;
153 mL of 1.25 M K₃PO₄ = 0.153 L of 1.25 M K₃PO₄
The number of moles present in 0.153 L of 1.25 M K₃PO₄ = 0.153 × 1.25 moles
The number of moles present in 0.153 L of 1.25 M K₃PO₄ = 0.19125 moles of K₃PO₄
Since 1 mole of K₃PO₄ produces 3 moles of potassium (K⁺) ions we have;
0.19125 moles of K₃PO₄ will produce, 3 × 0.19125 moles of potassium (K⁺) ions which gives;
0.19125 moles of K₃PO₄ will produce 0.57375 moles of potassium (K⁺) ions
Therefore, the amount of moles of potassium (K⁺) ions in 153 mL = 0.57375 moles
The the amount of moles of potassium (K⁺) ions in 1 L (1000 mL) = (1000/153) × 0.57375 moles
The the amount of moles of potassium (K⁺) ions in 1 L = 3.75 moles
Therefore, the concentration of potassium (K⁺) ions in the solution of 153 mL of 1.25 M K₃PO₄ = 3.75 moles.