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Chemistry · EQUILIBRIUM

हिन्दी

At \( 298\text{ K} \), pure water has a density of \( 1000\text{ g/L} \) and molar mass of \( 18.0\text{ g/mol} \). If the concentration of \( \text{H}^+ \) ions is \( 1.0 \times 10^{-7}\text{ M} \), what is the fraction of water molecules that are dissociated into ions?

  1. A
    \( 1.8 \times 10^{-9} \)
  2. B
    \( 1.8 \times 10^{-7} \)
  3. C
    \( 5.55 \times 10^{-8} \)
  4. D
    \( 1.0 \times 10^{-14} \)
View Answer & Solution

Correct answer · Option A

\( 1.8 \times 10^{-9} \)

Explanation

Molarity of pure water \( [\text{H}_2\text{O}] = \frac{1000}{18} = 55.55\text{ M} \). Ratio of dissociated water \( = \frac{10^{-7}}{55.55} \approx 1.8 \times 10^{-9} \).
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