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How many milliliters of 0.800MKOHshould be added to 5.02gof 1,5 -pentane dioic acid (C5H8O4,FM132.11) to give a pH of 4.40 when diluted to 250mL ?

Short Answer

Expert verified

The required volume of KOH solution is 25.2mL .

Step by step solution

01

Define the Henderson-Hasselbalch equation

The relationship between pH and pKa(acid dissociation constant) of acids in aqueous solutions is described by the Henderson-Hasselbalch equation. This equation can be used to forecast the pH of a buffer solution when the concentrations of such acid as well as its conjugate base, or the base and the related conjugate acid, are determined.

Formula to be used:pH=pKK1+logHA-H2A

02

Step 2:Calculate the volume of KOH solution required

The solution is an equal mixture of the H2AandHA-

When creatingthemixture of solutions that requiresa quantity of KOH to be added to convert H2AtoHA-,

pH=4.40and0.0380molH2ApH=pK1+logHA-[H2A|4.4=4.345+logx0.0380-x=x=0.0202mol=0.0202mol0.800M

Thus, the required volume of KOH solution is 25.2mL

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