JEE Mains · Chemistry · STD 11 - 6.2. Equilibrium - II (icon Equilibrium)

Which of the following mixture gives a buffer solution with pH = 9.25?
Given: \(pK_{b} (NH_{4}OH) = 4.75\)

A 0.2M \(NH_{4}OH\) (0.4 L) + 0.1M HCl (1L)
B 0.2M \(NH_{4}OH\) (0.5 L) + 0.1M HCl (0.5 L)
C 0.5M \(NH_{4}OH\) (0.2 L) + 0.2M HCl (0.5 L)
D 0.4M \(NH_{4}OH\) (1 L) + 0.1M HCl (1L)

Verified Solution

Answer & Solution

Correct Answer

(B) 0.2M \(NH_{4}OH\) (0.5 L) + 0.1M HCl (0.5 L)

Step-by-step Solution

Detailed explanation

\(pOH = pK_{b} + \log\frac{Salt}{Base}\) \(4.75 = 4.75 + \log\frac{Salt}{Base}\) Milimoles of [Salt] = milimoles of [Base] Option (D): \(NH _4 OH + HCl \rightarrow NH _4 Cl + H _2 O\) \(0.2 M , 0.5 L \quad 0.1 M , 0.5 L\) 100 mmole \(\quad\) 50 mmole 50 mmole \(\quad-\quad \) 50…

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.

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Which of the following mixture gives a buffer solution with pH = 9.25? Given: \(pK_{b} (NH_{4}OH) = 4.75\)

Step-by-step Solution

Which of the following mixture gives a buffer solution with pH = 9.25?
Given: \(pK_{b} (NH_{4}OH) = 4.75\)