Question:medium

A weak monobasic acid is 0.04 % dissociated in 0.25 M solution. What is pH of the solution?

Show Hint

Convert the percentage to a degree of dissociation, multiply by the concentration to get the hydrogen ion concentration, then take the negative log.
Updated On: Oct 1, 2026
  • \(2.5\)
  • \(4\)
  • \(5\)
  • \(10\)
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Convert the percentage.
0.04 % means 0.04 parts in 100, so $\alpha = 4\times10^{-4}$.

Step 2: Use the equilibrium.
HA $\rightleftharpoons$ H$^+$ + A$^-$. Moles dissociated per litre = $C\alpha$, so $[\text{H}^+] = 0.25 \times 4\times10^{-4}$.

Step 3: Calculate.
\[ [\text{H}^+] = 1.0\times10^{-4}\text{ M}, \quad \text{pH} = 4 \]

Step 4: Sanity check.
A weak acid must give pH below 7. Option (D) with pH 10 is basic and impossible. Options (A) and (C) do not match $10^{-4}$ M.

Final Answer:
The pH of the solution is 4. \[ \boxed{4} \]
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