# Problem: Lactic acid is a weak acid found in milk. Its calcium salt is a source of calcium for growing animals. A saturated solution of this salt, which we can represent as Ca(Lact)2 has a [Ca2+]=0.26 M and a pH=8.40.Assuming the salt is completely dissociated, calculate the Ka of lactic acid.

###### FREE Expert Solution

We are being asked to calculate the Ka of lactic acid.

Recall: Weak acids possess a Ka value less than 1, while weak bases possess a Kb value less than 1.

The equilibrium expressions of Ka and Kb are the same as other equilibrium constants we’ve seen.

For weak acids, their equilibrium constant is

For weak bases, their equilibrium constant is

The greater the Ka value the stronger the acid, while the greater the Kb the stronger the base.

Ka and Kb are connected by the following equation:

$\overline{){{\mathbf{K}}}_{{\mathbf{w}}}{\mathbf{=}}{{\mathbf{K}}}_{{\mathbf{a}}}{\mathbf{×}}{{\mathbf{K}}}_{{\mathbf{b}}}}$

where Kw = 1 x 10-14

It can be found in textbooks or on the internet.

We are given a saturated solution of calcium lactate salt with [Ca2+]=0.26 M and a pH=8.40

The dissociation of calcium lactate salt in water is:

Ca(Lact)2(s) + H2O(l) Ca2+(aq) + 2 Lact-(aq)

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###### Problem Details

Lactic acid is a weak acid found in milk. Its calcium salt is a source of calcium for growing animals. A saturated solution of this salt, which we can represent as Ca(Lact)2 has a [Ca2+]=0.26 M and a pH=8.40.

Assuming the salt is completely dissociated, calculate the Ka of lactic acid.