Strong bases and Kw

Lajoy Tucker & Dr. Davinder Bhachu

Teachers

Lajoy Tucker Dr. Davinder Bhachu

Introduction to Strong Bases and Kw

Water is slightly dissociated:

The equilibrium constant for this dissociation is called the ionic product of water,


Derivation of

Start with equilibrium expression for water:


Equilibrium constant:


Since is effectively constant (water is only very slightly dissociated), it is incorporated into the constant:

At

pH of Pure Water

In pure water:


So,

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Temperature Dependence

The dissociation of water is endothermic:

Increasing temperature shifts equilibrium to the right according to Le Chatelier’s principle.

Both and increase → increases.

Example:

At

.

Even though pH < 7, the water is still neutral because neutrality means the concentration of is equal to the concentration of , not that pH equals 7.

Note – square brackets mean concentration. Make sure to include them when explaining the neutrality of pure water

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pH of Strong Base Explainer Video

Strong Bases

For a strong base (e.g. , ), it dissociates fully:

e.g.


Calculating pH

Use to find :


Then calculate pH:

Worked Examples

Calculate the pH of at

Answer:

Calculate the pH of a solution of at

(Assume complete dissociation)

Answer:

Calculate the concentration of a strong base

(Assume complete dissociation)

Answer

.


Stoichiometry:

Key tips and reminders

  • Neutral water is not always pH 7 – only at .

  • For strong bases, assume complete dissociation.

  • Look out for group 2 hydroxides. Write the dissociation equation for the molar ratios to ensure you are multiplying/dividing correctly

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