the equation for the ph of a substance is ph = -logh+, where h+ is the concentration of hydrogen ions. what…

the equation for the ph of a substance is ph = -logh+, where h+ is the concentration of hydrogen ions. what is the approximate ph of a solution whose hydrogen ion concentration is 2×10⁻⁹?\n1.0\n2.9\n8.7\n9.3

the equation for the ph of a substance is ph = -logh+, where h+ is the concentration of hydrogen ions. what is the approximate ph of a solution whose hydrogen ion concentration is 2×10⁻⁹?\n1.0\n2.9\n8.7\n9.3

Answer

Answer:

C. 8.7

Explanation:

Step1: Substitute the value of $[H^+]$

Given $[H^+]=2\times 10^{-9}$, substitute into $pH = -\log[H^+]$. So $pH=-\log(2\times 10^{-9})$.

Step2: Use logarithm property

By the property $\log(ab)=\log a+\log b$, we have $pH=-(\log 2+\log(10^{-9}))$. Since $\log(10^{-9})=-9$ and $\log 2\approx0.3010$, then $pH=- (0.3010 - 9)$.

Step3: Calculate the pH value

$pH=-0.3010 + 9=8.699\approx8.7$.