# Probability in titrations

In an acid - base titration an acid or base is gradually added until the solution is neutral. As the resulting solutions are usually colorless pH is measures to monitor the reaction. Suppose the equivalence point is reached after approx 100ml of a base (NaOH) have been added but that replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. Assume volumes are measured to the nearest mL and describe the sample space.

a) what is the probability that equivalence is indicated at 100 mL

b) what is the probability that equivalence is indicated at less than 100 mL

c) what is the probability that equivalence is indicated at between 98 and 102 mL(inclusive)

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#### Solution Preview

After carefully reading the story in the posting, we know that the replicates are equally likely to indicate from 95 to 104 mL to the nearest mL. This means that the equivalence is indicated at 95, 96, 97, 98, 99, 100, 101, 102, ...

#### Solution Summary

This looks at probability in the context of a titration.