Question

what do you mean by 'autopyrolysis' of water?

Answer 1

Autoprotolysis is another term for self-ionisation.

This means that water ionises as follows:
H2O <-- --> H+ + OH-

In pure water 25 deg C, the concentration of H+ and OH- due to self-ionisation will be 1*10^-7M

Answer 2

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In autoprotolysis a proton is transferred between two identical molecules, one of which acts as a Brønsted acid, releasing a proton which is accepted by the other molecule acting as a Brønsted base. For example, water undergoes autoprotolysis in the self-ionization of water reaction.

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