Answer:
Step-by-step explanation:
To calculate the pH and oxalate concentration of a 1.0 M solution of oxalic acid at 25°C, we need to use the dissociation constants (Ka) of oxalic acid. Oxalic acid is a diprotic acid, which means it can donate two protons in solution.
The dissociation constants for oxalic acid are:
Ka1 = 5.90 × 10^-2
Ka2 = 5.90 × 10^-5
To calculate the pH of a 1.0 M solution of oxalic acid, we need to first determine the concentration of hydrogen ions (H+) in solution. This can be done by considering the equilibrium reactions:
H2C2O4 ⇌ H+ + HC2O4-
HC2O4- ⇌ H+ + C2O42-
The equilibrium expressions for these reactions are:
Ka1 = [H+][HC2O4-]/[H2C2O4]
Ka2 = [H+][C2O42-]/[HC2O4-]
Since the concentration of oxalic acid is 1.0 M, the concentration of HC2O4- and C2O42- can be assumed to be negligible compared to the initial concentration of oxalic acid. Therefore, we can simplify the equilibrium expressions to:
Ka1 = [H+][HC2O4-]/1.0 M
Ka2 = [H+][C2O42-]/[HC2O4-]
Rearranging these equations and solving for [H+], we get:
[H+] = √(Ka1Ka2)/(1.0 M)
Plugging in the values for Ka1 and Ka2, we get:
[H+] = √(5.90 × 10^-2 × 5.90 × 10^-5)/(1.0 M) = 1.08 × 10^-3 M
Using the equation pH = -log[H+], we can calculate the pH of the solution:
pH = -log(1.08 × 10^-3) = 2.97
To calculate the concentration of oxalate ions (C2O42-) in solution, we can use the equilibrium expression for the second dissociation of oxalic acid:
Ka2 = [H+][C2O42-]/[HC2O4-]
We already know the concentration of hydrogen ions ([H+]) from the previous calculation, and we can assume that the concentration of HC2O4- is equal to the initial concentration of oxalic acid (1.0 M). Therefore, we can solve for [C2O42-]:
[C2O42-] = (Ka2 × [HC2O4-])/[H+]
Plugging in the values for Ka2, [HC2O4-], and [H+], we get:
[C2O42-] = (5.90 × 10^-5 × 1.0 M)/(1.08 × 10^-3 M) = 5.46 × 10^-3 M
Therefore, the concentration of oxalate ions in solution is 5.46 × 10^-3 M.
To calculate the concentrations of other species in the equilibrium, we can use the equilibrium expressions for each of the dissociation reactions and the conservation of mass balance:
[H2C2O4] = [H+] + [HC2O4-]
[HC2O4-] = [H2C2O4]/(1 + Ka1/[H+])
[C2O42-] = [HC2O4-] × Ka2/[H+]
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