Convert the following pH value to concentration of H3O+: 4.10 (Keep 2 sig figs in your answer.)

Question

Convert the following pH value to concentration of H₃O⁺: 4.10 (Keep 2 sig figs in your answer.)

I did anti log^ -4.10 and got 7.943282347x10^-5 as my concentration but im not sure how to put it into the correct sigfigs.

Answer 1

To convert a pH value to the concentration of H3O+, we can use the formula:

pH = -log[H3O+]

Solving this equation for [H3O+], we get:

[H3O+] = 10^(-pH)

Substituting the given pH value of 4.10 into this equation, we get:

[H3O+] = 10^(-4.10)

Using a calculator, we find:

[H3O+] = 7.94 x 10^(-5)

To keep 2 significant figures in the answer, we round this value to:

[H3O+] = 8.0 x 10^(-5)

Therefore, the concentration of H3O+ for a pH value of 4.10 is 8.0 x 10^(-5) M.