# Problem: Given that the [H3O+] of pure water is 7.24 × 10–7 M at 100 °C, determine pKw of pure water at this temperature.A. 6.14 B. 12.3 C. 7.24 D. 14.0 E. 15.2

###### FREE Expert Solution

We’re being asked to determine the value of pKw for pure water  given that the [H3O+] is 7.24 × 10–7 M at 100 °C

Recall that Kw is the autoionization constant of water, and is given by:

$\overline{){{\mathbf{K}}}_{{\mathbf{w}}}{\mathbf{=}}\left[{\mathbf{H}}^{\mathbf{+}}\right]\left[{\mathbf{OH}}^{\mathbf{-}}\right]}$

###### Problem Details

Given that the [H3O+] of pure water is 7.24 × 10–7 M at 100 °C, determine pKw of pure water at this temperature.

A. 6.14

B. 12.3

C. 7.24

D. 14.0

E. 15.2