Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

ph measures the acidity of a substance, and is described by the equatio…

Question

ph measures the acidity of a substance, and is described by the equation ph = -log(h+), where h+ is the concentration of hydrogen ions. a solution has an h+ concentration of 6.31×10^(-6). what is its ph? round your answer to the nearest tenth.

Explanation:

Step1: Identify the formula

The formula for pH is $pH = -\log(H^{+})$, where $H^{+}=6.31\times 10^{-6}$.

Step2: Substitute the value

Substitute $H^{+}=6.31\times 10^{-6}$ into the formula: $pH = -\log(6.31\times 10^{-6})$.

Step3: Use logarithm properties

Using the property $\log(ab)=\log(a)+\log(b)$, we have $\log(6.31\times 10^{-6})=\log(6.31)+\log(10^{-6})$. Since $\log(10^{-6})=- 6$ and $\log(6.31)\approx0.80$, then $\log(6.31\times 10^{-6})\approx0.80 - 6=-5.20$.

Step4: Calculate pH

$pH=-(-5.20) = 5.2$.

Answer:

$5.2$