# Problem: The autoionization constant for heavy water (deuterium oxide, D 2O) is 3.64×10−16 at 0°C and 7.89×10−15 at 50°C. Find [D 3O+] and pD of heavy water at 0°C and 50°C.

###### FREE Expert Solution

We’re being asked to find [D 3O+] and pD of heavy water at 0°C and 50°C.

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

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

[H+] = [H3O+]

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###### Problem Details

The autoionization constant for heavy water (deuterium oxide, D 2O) is 3.64×10−16 at 0°C and 7.89×10−15 at 50°C. Find [D 3O+] and pD of heavy water at 0°C and 50°C.