Question:
The pH of $10^-10$ M NaOH solution is nearest to ________.
The pH of $10^-10$ M NaOH solution is nearest to ________.
Show Hint
The pH of $10
Updated On: Apr 15, 2026
- 4
- 10
- -10
- 7
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The Correct Option is D
Solution and Explanation
Step 1: Analysis
$10^{-10} \text{ M NaOH}$ is an extremely dilute basic solution.
Step 2: Water Contribution
In such dilute solutions, the $[OH^{-}]$ from the self-ionization of water ($10^{-7} \text{ M}$) cannot be ignored.
Step 3: Total Concentration
Total $[OH^{-}] \approx 10^{-7} \text{ (from water)} + 10^{-10} \text{ (from NaOH)} \approx 10^{-7} \text{ M}$.
Step 4: Calculation
$pOH = -\log[OH^{-}] \approx 7$. $pH = 14 - pOH \approx 7$.
Final Answer: (D)
$10^{-10} \text{ M NaOH}$ is an extremely dilute basic solution.
Step 2: Water Contribution
In such dilute solutions, the $[OH^{-}]$ from the self-ionization of water ($10^{-7} \text{ M}$) cannot be ignored.
Step 3: Total Concentration
Total $[OH^{-}] \approx 10^{-7} \text{ (from water)} + 10^{-10} \text{ (from NaOH)} \approx 10^{-7} \text{ M}$.
Step 4: Calculation
$pOH = -\log[OH^{-}] \approx 7$. $pH = 14 - pOH \approx 7$.
Final Answer: (D)
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