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Trisodium phosphate (Na3PO4) is available in hardware stores as TSP and is used as a cleaning agent. The label warns that the substance is very basic. What is the pH of a solution containing 50.0 g of of TSP in a liter of solution

Sagot :

Answer:

pH = 12.90

Explanation:

The TSP is in equilibrium with water as follows:

Na₃PO₄(aq) + H₂O(l) ⇄ Na₂HPO₄⁻Na⁺(aq) + OH⁻(aq)

Where Kb = 0.0208 is defined as:

Kb = 0.0208 = [Na₂HPO₄⁻Na⁺] [OH⁻] / [Na₃PO₄]

As both Na₂HPO₄⁻Na⁺ OH⁻ comes from the same equilibrium:

[Na₂HPO₄⁻Na⁺] = [OH⁻] = X

[Na₃PO₄] is -molar mass: 163.94g/mol:

50.0g * (1mol / 163.94g) =0.305moles / 1L =

0.305M

Replacing:

0.0208 = [X] [X] / [0.305M]

6.344x10⁻³ = X²

0.0796M = X = [OH⁻]

As pOH = -log [OH⁻]

pOH = 1.099

pH = 14 - pOH

pH = 12.90