Chapter 14, Problem 14.63SP

Interpretation Introduction

Interpretation:

At $\text{500°C}$ and $\text{250 atm}$, the concentrations of ${\text{H}}_{\text{3}}{\text{O}}^{+}$ and ${\text{OH}}^{\text{-}}$ has to be calculated and the solution has to be classified as acidic, basic or neutral.

Concept introduction:

Ion-product constant value$\left(K_w\right)$:

At $\text{25°C}$ we can calculate the numerical value of ${\text{K}}_{\text{w}}$:

${\text{K}}_{\text{w}}\text{=}\left[{\text{H}}_{\text{3}}{\text{O}}^{\text{+}}\right]\left[{\text{OH}}^{\text{-}}\right]$

${\text{K}}_{\text{w}}$ is affected by temperature and the concentration of ${\text{H}}_{\text{3}}{\text{O}}^{+}$ and ${\text{OH}}^{\text{-}}$ are deviated from $1.0\times {10}^{-14}$.  At high temperature, if we found concentration of ${\text{H}}_{\text{3}}{\text{O}}^{+}$ and ${\text{OH}}^{\text{-}}$ take square root of ${\text{K}}_{\text{w}}$.  When $\left[{\text{OH}}^{\text{-}}\right]\text{=}\left[{\text{H}}_{\text{3}}{\text{O}}^{\text{+}}\right]$ in the neutral solution.