Question:easy

\(2.8\) g of KOH is dissolved in a \(500\) mL solution at \(298\) K. What is the \(p^H\) of solution ? (molar mass of KOH = \(56\) g/mol)

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KOH is a strong base: find [OH-] from moles and volume, then pOH and pH = 14 - pOH.
Updated On: Oct 1, 2026
  • \(1\)
  • \(8\)
  • \(11\)
  • \(13\)
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Work with mass per litre:
2.8 g in 0.5 L means 5.6 g per litre. Dividing by the molar mass, $5.6/56 = 0.1$ mol/L.

Step 2: Use hydroxide concentration:
Each KOH gives one $\text{OH}^-$, so $[\text{OH}^-] = 10^{-1}$ M. Then $[\text{H}^+] = \dfrac{10^{-14}}{10^{-1}} = 10^{-13}$ M.

Step 3: Take the negative log:
$\text{pH} = -\log(10^{-13}) = 13$. A strongly basic solution has a pH near 14, so 13 is sensible.

Final Answer:
The hydrogen ion concentration is 1e-13 M, so the pH is 13. \[ \boxed{\text{(D) }13} \]
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