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NEET 2013
Exam
NEET
Year
2013
Subject
Chemistry
Chapter
Ionic Equilibrium

NEET 2013 · Chemistry · Ionic Equilibrium

At 100^ C the K_w of water is 55 times its value at 25^ C . What...

At 100∘C100^{\circ} \mathrm{C} the Kw\mathrm{K}_w of water is 55 times its value at 25∘C25^{\circ} \mathrm{C}. What will be the pH\mathrm{pH} of neutral solution? (log⁡55=1.74)(\log 55=1.74)

Options

  1. A7.00
  2. B7.87
  3. C5.13
  4. D6.13

Correct answer

D. 6.13

Step-by-step solution

H+=55×10−14pH=−log⁡[H+]pH=−log⁡[55×10−14]=12[−log⁡(55×10−14)]=6.13\begin{aligned} \mathrm{H}^{+}& =\sqrt{55 \times 10^{-14}}\\ \mathrm{pH}& =-\log\left[\mathrm{H}^{+}\right]\\ \mathrm{pH} & =-\log\left[\sqrt{55 \times 10^{-14}}\right]\\ & =\frac{1}{2}\left[-\log \left(55 \times10^{-14}\right)\right] \\ & =6.13 \end{aligned}
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