G-style asked in Science & MathematicsChemistry · 4 weeks ago

# How to find the pH of a saturated solution of sodium carbonate (Na2CO3)?

What is the pH of a saturated solution of sodium carbonate (Na2CO3)?

(solubility in water is 21.6 g/100mL at room temperature and for carbonic acid, H2CO3, Ka1 = 4.5 x 10-7, Ka2 = 4.7 x 10-11)

Give the answer in three sig. figs.

Relevance
• 4 weeks ago

First, find the molarity:

21.6 g/0.100 L = 216 g/L / 106 g/mol = 2.04 M CO32-

The carbonate ion acts as a base by the equilibrium:

CO32- + H2O <--> HCO3- + OH-

Kb = [HCO3-][OH-]/[CO32-]

The value of Kb can be calculated from the value of Ka2 as:

Kb =1X10^-14 / 4.7X10^-11 = 2.1X10^-4

In that saturated solution, let x = [HCO3-] - [OH-] and [CO32-] = 2.04-x. As a first approximation, assume that x will be small compared to 2.04 and can be ignored. Then,

Kb = 2.1X10^-4 = x^2 / 2.04

x = 0.021 M = [OH-]

pOH = 1.68

pH = 14-pOH = 12.3

x is only about 1% of 2.04, and so ignoring it in the denominator was a reasonable assumption to make.