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Q. At $90^\circ C$ , pure water has $\left[\right.H_{3}O^{+}\left]\right.=10^{- 6}$ mol $litre^{- 1}$ . What is the value of $K_{w}$ at $90^\circ $ C?

NTA AbhyasNTA Abhyas 2022

Solution:

At $\text{90}^{\text{o}} \text{C,} \, \left[\text{H}_{\text{3}} \text{O}^{\text{+}} \left] \, \text{=} \, \right[ \text{OH}^{-}\right]$
$= 10^{- 6} \, \text{M}$
So $K_{w}=\left[\right.H_{3}O^{+}\left]\right.\left[\right.OH^{-}\left]\right.$
$= 10^{- 6} \, \times 10^{- 6}$
$= 10^{- 12}$