At $25°\mathrm{C}$, the hydroxyl ion concentration of a basic solution is $6.75\times {10}^{-3}$ $\mathrm{M}$. Then the value of ${\mathrm{K}}_{\mathrm{w}}$ is

It is given to find the value of ${\mathrm{K}}_{\mathrm{w}}$ At $25°\mathrm{C}$, the hydroxyl ion concentration of a basic solution is $6.75\times {10}^{-3}\mathrm{M}$.

As we know that,${\mathrm{K}}_{\mathrm{W}}$=$\left[{\mathrm{H}}^{+}\right]\left[{\mathrm{OH}}^{-}\right]={10}^{-14}$

Since the value of K_W is constant and does not change w.r.t. the concentration of ${\mathrm{H}}^{+}$ion and ${\mathrm{OH}}^{-}$ion.

Hence the value of ${\mathrm{K}}_{\mathrm{w}}$ will be ${10}^{-14}$.

Hence the correct answer (D) ${10}^{-14}{\mathrm{M}}^2$