HCOOH⇌HCOO- + H+; Ks = 1.7*10-4The ionization of formic acid is ...
Solution:
Given:
[HCOOH] = 0.1 M
[HCOONa] = 0.05 M
Ks = 1.7 × 10^(-4)
To calculate [H+], we need to consider the ionization of formic acid (HCOOH) and the dissociation of its salt (HCOONa).
1. Ionization of formic acid (HCOOH):
HCOOH ⇌ H+ + HCOO-
Let's assume that x mol/L of HCOOH ionizes, which means x mol/L of H+ ions are produced. The concentration of HCOOH remaining will be (0.1 - x) mol/L. The concentration of HCOO- ions produced will also be x mol/L.
Using the equilibrium constant expression, we can write:
Ks = [H+][HCOO-] / [HCOOH]
Substituting the given values:
1.7 × 10^(-4) = x * x / (0.1 - x)
Since the value of x is expected to be very small compared to 0.1, we can approximate (0.1 - x) as 0.1:
1.7 × 10^(-4) = x * x / 0.1
Rearranging the equation:
x^2 = 1.7 × 10^(-4) * 0.1
x^2 = 1.7 × 10^(-5)
Taking the square root of both sides:
x = √(1.7 × 10^(-5))
x ≈ 0.00412 M
Thus, the concentration of H+ ions is approximately 0.00412 M.
2. Dissociation of sodium formate (HCOONa):
HCOONa ⇌ H+ + COO-
Since the initial concentration of HCOONa is 0.05 M, the concentration of H+ ions produced will also be 0.05 M.
3. Total [H+] concentration:
To find the total concentration of H+ ions, we add the concentrations from the ionization of formic acid and the dissociation of sodium formate:
[H+]total = [H+] from HCOOH + [H+] from HCOONa
[H+]total = 0.00412 M + 0.05 M
[H+]total ≈ 0.05412 M
Therefore, the concentration of [H+] in the solution is approximately 0.05412 M, which is equivalent to 3.4 × 10^(-4) M. Hence, option B is the correct answer.