The 6 M solution NaOH solution diluted before titrating the vinegar sample because pH at the equivalence point changes very rapidly . It is very useful to have dilution solution , so that number of moles that are transferred per drop of the solution is low . So, pH change smaller amount per drop. Having more dilute solution also allows the titration to use volume that is easier to work with.
If you used the 6 M solution was used then the volume required for titration would go down by a factor of 6/0.3 = 20
This means that if a titration took 20ml of the 0.3 M solution then it would take 1ml of the NaOH solution.
Titration consists of adding a controlled and known amount of standard solution with an unknown until the reaction to be complete.
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