# If #[H_3O^+]=1.2xx10^-8*mol*L^-1#, what are #pH# and #pOH#?

##### 1 Answer

We know that

#### Explanation:

So some (necessary?) background. Water undergoes autoprotolysis according to:

Under standard conditions,

As with any equation, we can divide/multiple/add/substract etc. PROVIDED that we do it to both sides of the equation. One thing we can do (and remember that this was important in the days before electronic calculators!) is to take

But

And thus,

OR...............multliplying each side by

And since,

And you have to know this derivation as a 1st year undergraduate but not as an A-level student........

And now it is simply a matter of taking your trusty electronic calculator, and pushing the

And now we take antilogs..........

I leave it to you to answer the 2nd problem, which I hope you will post here.