Question

One litre of water contains $1.0\times {10}^{-7}$ moles of $H^{+}$ ions. The degree of ionization of water is:

• A. $1.8\times {10}^{-9}$
• B. $0.8\times {10}^{-9}$
• C. $3.6\times {10}^{-9}$
• D. $3.6\times {10}^{-7}$

Answer 1

The correct option is A $1.8\times {10}^{-9}$

Volume=$1L$

Density of water=$1g/ml$

Mass of water=$1000g$

Moles of water =$\frac{1000}{18}$

$H_{2}O\rightleftharpoons H^{+}+O{H}^{-}$

$t=O$ $C$ $O$ $O$

$t.teq$ $c(1-\alpha )$ $e\alpha$ $e\alpha$

$c\alpha ={10}^{-7}$

$\Rightarrow \frac{1000}{8}\times \alpha ={10}^{-2}$

$\Rightarrow \alpha =1.8\times {10}^{-9}$