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  • Calculating Hydrogen Ion Concentration ([H+]) from Formic Acid Solution - Step-by-Step
    Here's how to solve this problem, along with the explanation:

    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.

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