Chapter 3.5, Problem 53E

To determine

Find the $\left[H^{+}\right]$ value using given data.

Answer to Problem 53E

The value of $\left[H^{+}\right]$ is $1.58\times {10}^{-6}$ .

Explanation of Solution

Given:

The given acidity model is $pH=-\log \left[H^{+}\right]$ and $pH=5.8$ .

Calculation:

  $pH=-\log \left[H^{+}\right]$

Substitute the value of $pH=5.8$ in the given equation.

  $\begin{array}{l}\Rightarrow 5.8=-\log \left[H^{+}\right]\\ \Rightarrow -5.8=\log \left[H^{+}\right]\end{array}$

Change in exponential form.

  $\begin{array}{l}\Rightarrow {10}^{-5.8}=\left[H^{+}\right]\\ \Rightarrow 1.58\times {10}^{-6}=\left[H^{+}\right]\\ \Rightarrow \left[H^{+}\right]=1.58\times {10}^{-6}\end{array}$

Hence the value of $\left[H^{+}\right]$ is $1.58\times {10}^{-6}$ .