1. Understand the Concept
* Formic acid (HCOOH) is a weak acid. This means it doesn't completely ionize in water. We need to use its Ka value to find the [H+].
* Ka (acid dissociation constant) is a measure of how much an acid ionizes in water. The lower the Ka, the weaker the acid.
2. The Chemical Reaction
Formic acid dissociates in water according to this equilibrium:
HCOOH(aq) ⇌ H+(aq) + HCOO-(aq)
3. Setting Up the ICE Table
We'll use an ICE (Initial, Change, Equilibrium) table to calculate the equilibrium concentrations:
| | HCOOH | H+ | HCOO- |
|-------------|--------|-------|--------|
| Initial | 0.35 M | 0 | 0 |
| Change | -x | +x | +x |
| Equilibrium | 0.35-x| x | x |
4. The Ka Expression
The Ka expression for formic acid is:
Ka = [H+][HCOO-] / [HCOOH]
The Ka value for formic acid is 1.8 x 10^-4
5. Solve for x
Substitute the equilibrium concentrations from the ICE table into the Ka expression:
1.8 x 10^-4 = (x)(x) / (0.35 - x)
Since Ka is small, we can assume x is much smaller than 0.35, so we can simplify:
1.8 x 10^-4 = x^2 / 0.35
Solve for x:
x^2 = 6.3 x 10^-5
x = 0.0079 M
6. The Answer
Since x represents the concentration of H+ ions:
[H+] = 0.0079 M
Important Note: This answer is an approximation. For more accurate results, the quadratic equation should be used to solve for x.