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

the equation for the ph of a substance is ph = -logh⁺, where h⁺ is the concentration of hydrogen ions. a basic solution has a ph of 11.2. an acidic solution has a ph of 2.4. what is the approximate difference in the concentration of hydrogen ions between the two solutions?\no 1.6×10⁻⁹\no 4.0×10⁻³\no 6.7×10⁻¹\no 1.6×10¹¹

the equation for the ph of a substance is ph = -logh⁺, where h⁺ is the concentration of hydrogen ions. a basic solution has a ph of 11.2. an acidic solution has a ph of 2.4. what is the approximate difference in the concentration of hydrogen ions between the two solutions?\no 1.6×10⁻⁹\no 4.0×10⁻³\no 6.7×10⁻¹\no 1.6×10¹¹

Answer

Explanation:

Step1: Find $[H^+]$ for basic solution

Given $pH = -\log[H^+]$, for basic solution with $pH = 11.2$, we have $11.2=-\log[H^+]$. Then $\log[H^+]= - 11.2$, and $[H^+]_{basic}=10^{-11.2}$.

Step2: Find $[H^+]$ for acidic solution

For acidic solution with $pH = 2.4$, we have $2.4 = -\log[H^+]$. Then $\log[H^+]=-2.4$, and $[H^+]_{acidic}=10^{-2.4}$.

Step3: Calculate the difference

The difference $\Delta[H^+]=[H^+]{acidic}-[H^+]{basic}=10^{-2.4}-10^{-11.2}$. $10^{-2.4}\approx3.98\times 10^{-3}$ and $10^{-11.2}\approx6.31\times 10^{-12}$. Since $10^{-11.2}$ is much smaller than $10^{-2.4}$, $\Delta[H^+]\approx 10^{-2.4}\approx4.0\times 10^{-3}$.

Answer:

$4.0\times 10^{-3}$