Question

the formula for the ph of a solution of hydronium ions is given by the logarithmic equation ph = - log h₃o⁺, where h₃o⁺ is the concentration of hydronium ions. the concentration of hydronium ions is 10⁻⁴. find the ph for the given hydronium ion h₃o⁺ concentration. ph = □

Explanation:

Step1: Substitute the concentration value

Substitute $[H_3O^+]=10^{-4}$ into the pH - formula $pH =-\log[H_3O^+]$. So we get $pH=-\log(10^{-4})$.

Step2: Use the logarithm property

According to the logarithm property $\log(a^b)=b\log(a)$, for $\log(10^{-4})$, since $\log$ here is base - 10 and $\log_{10}(10) = 1$, then $\log(10^{-4})=-4\log(10)=-4\times1=-4$.

Step3: Calculate the pH value

We have $pH = - \log(10^{-4})=-(-4)=4$.

Answer:

$4$