Equilibrium Question 306

Question: The dissociation of water at $ 25^{o}C $ is $ 1.9\times {10^{-7}}% $ and the density of water is $ 1.0,g/cm^{3}. $ The ionisation constant of water is [IIT 1995]

Options:

A) $ 3.42\times {10^{-6}} $

B) $ 3.42\times {10^{-8}} $

C) $ 1.00\times {10^{-14}} $

D) $ 2.00\times {10^{-16}} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \alpha =1.9\times {10^{-9}} $ ; $ C=\frac{1000}{18} $

$ K=\frac{[{H^{+}}][O{H^{-}}]}{(H_2O)}=C{{\alpha }^{2}} $

$ =1.9\times {10^{-9}}\times 1.9\times {10^{-9}}\times \frac{1000}{18} $

$ =2.0\times {10^{-16}} $ .



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