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Q. A solution of an acid has $ [{{H}^{+}}]=2\times {{10}^{-5}}. $ Find out the concentration of $ O{{H}^{-}} $ ions.

CMC MedicalCMC Medical 2009

Solution:

$ [{{H}^{+}}]\,[O{{H}^{-}}]={{K}_{w}} $ $ 2\times {{10}^{-5}}\times [O{{H}^{-}}]=1\times {{10}^{-14}} $ $ [O{{H}^{-}}]=\frac{1\times {{10}^{-14}}}{2\times {{10}^{-5}}} $ $ =0.5\times {{10}^{-9}} $ $ =5\times {{10}^{-10}} $