one brand of vinegar has a ph of 4.5. another brand has a ph of 5.0. the equation for the ph of a substance…

one brand of vinegar has a ph of 4.5. another brand has a ph of 5.0. the equation for the ph of a substance is ph = -logh+, where h+ is the concentration of hydrogen ions. what is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar? 2.2x10^-5 3.2x10^-1 3.2x10^1 6.8x10^4
Answer
Answer:
$2.2\times 10^{-5}$
Explanation:
Step1: Find $[H^+]$ for pH = 4.5
Given $pH =-\log[H^+]$, then $[H^+]=10^{-pH}$. For $pH = 4.5$, $[H^+]_1 = 10^{- 4.5}=\frac{1}{10^{4.5}}\approx3.16\times 10^{-5}$.
Step2: Find $[H^+]$ for pH = 5.0
For $pH = 5.0$, $[H^+]_2=10^{-5}=1\times 10^{-5}$.
Step3: Calculate the difference
$\Delta[H^+]=[H^+]_1 - [H^+]_2=(3.16\times 10^{-5}-1\times 10^{-5}) = 2.16\times 10^{-5}\approx2.2\times 10^{-5}$.