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?\no 2.2x10^-5\no 3.2x10^-1\no 3.2x10^1\no 6.8x10^4
Answer
Explanation:
Step1: Find $[H^+]$ for pH = 4.5
Given $pH=-\log[H^+]$, when $pH = 4.5$, we can rewrite the formula as $[H^+]=10^{-pH}$. So, $[H^+]_1 = 10^{- 4.5}$.
Step2: Find $[H^+]$ for pH = 5.0
When $pH = 5.0$, using $[H^+]=10^{-pH}$, we get $[H^+]_2=10^{-5.0}$.
Step3: Calculate the difference
The difference $\Delta[H^+]=[H^+]_1 - [H^+]_2=10^{-4.5}-10^{-5.0}$. $10^{-4.5}=\frac{1}{10^{4.5}}\approx3.16\times 10^{-5}$ and $10^{-5.0}=\frac{1}{10^{5}} = 1\times10^{-5}$. $\Delta[H^+]=3.16\times 10^{-5}-1\times 10^{-5}=(3.16 - 1)\times10^{-5}\approx2.2\times 10^{-5}$.
Answer:
$2.2\times 10^{-5}$