Question

How many times stronger is an acid with a ph of 3 than an acid with a ph of 6?A. A ph of 3 is 3 time as strong.B. A ph of 3 is 1000 times as strong.C. A ph of 3 is 30 times as weak D. A ph 3 is 1000 times as weak.

Answer 1

INFORMATION:

We have two acids:

- the first has a pH of 3

- the second has a pH of 6

And we must find how many times stronger is the acid with a pH of 3 than the acid with a pH of 6

STEP BY STEP EXPLANATION:

By definition,

`pH=-log_(10)\lbrack H_3O^+\rbrack`

Now, we must find [H3O+] for the two acids

- First acid (pH = 3)

`\begin{gathered} 3=-log_(10)\lbrack H_3O^+\rbrack \\ \lbrack H_3O^+\rbrack=10^(-3) \end{gathered}`

- Second acid (pH = 6)

`\begin{gathered} 6=-log_(10)\lbrack H_3O^+\rbrack \\ \lbrack H_3O^+\rbrack=10^(-6) \end{gathered}`

Finally, to find how many times stronger is the acid with a pH of 3 than the acid with a pH of 6 we must 10^-3 by 10^-6

`(10^(-3))/(10^(-6))=1000`

So, a pH of 3 is 1000 times as strong

ANSWER:

B. A ph of 3 is 1000 times as strong.