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What is the pK of the weak acid HA if a solution containing 0.1 M HA and 0.2 M A− has a pH of 6.5?

Short Answer

Expert verified

The pK value of the solution is 6.2.

Step by step solution

01

Introduction of Hasselbach-Henderson equation.

The Hasselbach-Henderson equation states that when the molar concentration of an acid (HA) and its conjugate base (A-) are equal, then

log[A][HA]=log1=0and hence, the pH value of the solution is equal to the pK value.

Mathematically,

pH=pK+log[A-][HA]

(i)

02

Calculation of the pK value of the solution.

Substitute 0.2Mfor [A-],0.1Mfor[HA], and 6.5 for pH.

6.5=pK+log(0.2M0.1M)6.5=pK+log2pK=6.5-0.3=6.2

Therefore, the pK value of the final solution is 6.2.

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