At what point in the following titration curve for a weak acid being titrated with a strong base is the pH equal to the pKa of the acid? The x-axis scale goes from 0.0 mL to 20.0 mL. The sharp rise is at 10.0 mL. 
Definitions:
Cost Curves
Graphical representations showing the relationship between the cost of producing goods or services and the quantity produced.
Optimal Scale
The size of a company or level of production that minimizes costs and maximizes efficiency and profit.
Long-run Equilibrium
A state in which all inputs can be adjusted by firms, market supply meets demand, and no economic profit is earned by firms in a perfectly competitive market.
Long-run Equilibrium
A state in an economy or market where all factors of production and economic variables are balanced, and there are no external pressures forcing change.
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