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A buffer consists of a weak acid or base, and the salt of that acid or base. Con

ID: 588988 • Letter: A

Question

A buffer consists of a weak acid or base, and the salt of that acid or base.

Consider a buffer made by combining the weak acid HA with its salt, A:

HA(aq)+H2O(l)A(aq)+H3O+(aq)

Ka=[A][H3O+][HA]

The H3O+ concentration of this buffer can be calculated using the Ka expression:

[H3O+]=Ka[HA][A]

You can use this expression when solving for pH, or you can simplify the expression even more. Taking the negative log of this expression, you have

log[H3O+]=log[Ka]log[HA][A]

Since log[H3O+]=pH and log[Ka]=pKa, this can be further simplified to

pH=pKa+log[A][HA]

A lactic acid/lactate ion buffer solution contains 0.30 M HC3H5O3 and 0.90 M C3H5O3, respectively. The Ka value of lactic acid is 1.4×104. Calculate the pH of this buffer.

Express the pH numerically.

Explanation / Answer

Ka= 1.4x10^-4

-log[Ka] = -log[1.4x10^-4]

PKa = 3.85

[HC3H5O3 ]= 0.30M

[C3H5O3-] = 0.90M

PH= PKa + log[salt]/[acid]

PH= 3.85 + log[0.90/0.30]

PH= 3.85 + 0.477

PH = 4.327

PH= 4.33.