Question

A substance with pH 2 is how many times more acidic than a substance with pH 4?

A. 2
B. 10
C. 100

Answer 1

C.
`100`

Step-by-step explanation:

pH =
`\displaystyle -log[H_3O^+]`

`\displaystyle [H_3O^+] = 10^(-pH)`

If pH = 2, then
`\displaystyle [H_3O^+] = \displaystyle 10^(-2)`

If pH = 4, then
`\displaystyle [H_3O^+] = 10^(-4)`

In consideration of
`\displaystyle 10^(-2) = [100]10^(-4),` the concentration of
`\displaystyle [H_3O^+]`is 100 times as massive at pH = 2 than at pH = 4, so the acid is 100 times as puissant at pH = 2 than at pH = 4.

* The pH scale is logarithmic to base 10, so a change in one instrument in pH equals a change in the concentration by a factor of 10
`[H_3O^+].`

* Hydronium →
`\displaystyle [H_3O^+]`

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