AP EAMCET · Chemistry · Ionic Equilibrium

Equal volumes of $0.5 N$ acetic acid and $0.5 N$ sodium acetate are mixed. What is the $\mathrm{pH}$ of resultant solution? ( ${pK}_{a}$ of acetic acid $= 4.75$ )

A $4.85$
B $4.65$
C $4.75$
D $7.0$

Verified Solution

Answer & Solution

Correct Answer

(C) $4.75$

Step-by-step Solution

Detailed explanation

The mixture of the acetic acid and sodium acetate acts as an acidic buffer. The pH of the solution can be calculated using Hendersen equation as shown below. pH=pKa+logsodium acetateacetic acid Given that Sodium acetate=acetic acid Hence, pH=pKa=4.75

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From AP EAMCET

Explore more questions on app

Equal volumes of $0.5 N$ acetic acid and $0.5 N$ sodium acetate are mixed. What is the \(\mathrm{pH}\) of resultant solution? ( ${pK}_{a}$ of acetic acid $= 4.75$ )

Answer & Solution

Step-by-step Solution

See the Complete Solution

Equal volumes of 0.5 N acetic acid and 0.5 N sodium acetate are mixed. What is the \(\mathrm{pH}\) of resultant solution? (pKa of acetic acid =4.75)

Step-by-step Solution

Equal volumes of $0.5 N$ acetic acid and $0.5 N$ sodium acetate are mixed. What is the \(\mathrm{pH}\) of resultant solution? ( ${pK}_{a}$ of acetic acid $= 4.75$ )