# A certain solution has a hydrogen ion concentration of 0.000589 moles per liter. What is this number in scientific notation?

##### 1 Answer
May 13, 2017

Well, it is $5.89 \times {10}^{-} 4 \cdot m o l \cdot {L}^{-} 1$...

#### Explanation:

And in fact if you input the number (longhand) into your calculator, the calculator will probably convert it automatically.

We can extend this, and provide a definition of $p H$: $p H = - {\log}_{10} \left[{H}_{3} {O}^{+}\right] = - {\log}_{10} \left(5.89 \times {10}^{-} 4\right) = - \left(- 3.23\right) = 3.23$.

And we know that in aqueous solution $p H + p O H = 14$. So what is $p O H$, and $\left[H {O}^{-}\right]$ here?