Answer
$3.4\times10^{-13}$, Basic
Work Step by Step
For this we need to use the equations $K_{w}=[OH^{-}][H_{3}O^{+}]$ and $K_{w}=1\times10^{-14}$. To calculate the concentration of $H_{3}O^{+}$ set the equations equal to each other and plug in the concentration of $OH^{-}$.
$1\times10^{-14}=(2.9\times10^{-2})[H_{3}O^{+}]$
Rearranging, we get:
$\frac{1\times10^{-14}}{2.9\times10^{-2}}=[H_{3}O^{+}]$ so $[H_{3}O^{+}]=3.4\times10^{-13}$
Since this value for $[H_{3}O^{+}]$ is less than the value for $[OH^{-}]$, the solution is basic.
