Question

If two solutions differ in their [H3O+] by a factor of 2.0, the difference in their pH will be 2.0.

Answer 1

This is false.  pH=-log[H₃O] therefore pH is a logarithmic scale and the if you double the concentration the pH won't go down by 2.  When you double the concentration of H₃O, the pH doesn't actual change a whole lot.  If you play around with the different concentrations and then doubling them, you will only find that the pH drops by about .301 each time.

Answer 2

False

Step-by-step explanation:

We can use an example to ilustrate the problem. For example we can use a concentration values of
`4x10^-^3` and
`6x10^-^3` (a difference of 2). Using the pH formula we can calculate the pH value for each concentration.

`pH=-Log[4x10^-^3]=~2.39`

`pH=-Log[6x10^-^3]=~2.22`

The difference between these values is 0.18 . Due to the logarithm, the difference in the concentration is not the same in the pH values.