# In a certain acidic solution at 25 degrees Celsius, [H+] is 100 times greater than [OH-]. What is the value for [OH-] for the solution ?

Jun 6, 2017

$\left[{\text{OH}}^{-}\right] = 1 \times {10}^{6}$ $\text{M}$

#### Explanation:

We have $\left[{\text{H"^+]=100["OH}}^{-}\right]$ at ${25}^{\circ} \textsf{C}$. We also know that, at ${25}^{\circ} \textsf{C}$, $\text{K"_"w} = 1 \times {10}^{14}$ and that "K"_"w"-=["H"^+]["OH"^-]

${\left[{\text{H"^+]["OH"^-]=100["OH}}^{-}\right]}^{2} = 1 \times {10}^{14}$ $\text{M}$

${\left[{\text{OH}}^{-}\right]}^{2} = 1 \times {10}^{12}$ $\text{M}$

$\left[{\text{OH}}^{-}\right] = 1 \times {10}^{6}$ $\text{M}$