Question
pH level: Use the formula given in Exercise 79 to determine the $\mathrm{pH}$ level of black coffee if $x=5.1 \times 10^{-5}$ moles per liter. Is black coffee considered an acid or base solution?
Step 1
Step 1: First, we need to understand that the pH of a solution is calculated using the formula $\mathrm{pH} = -\log[H^+]$, where $[H^+]$ is the concentration of hydrogen ions in the solution. Show more…
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use the following information on $\mathrm{pH}$. Chemists define $p H$ by the formula $p H=-\log _{10}\left[\mathrm{H}^{+}\right],$ where $\left[\mathrm{H}^{+}\right]$ is the hydrogen ion concentration measured in moles per liter For example, if $\left[\mathrm{H}^{+}\right]=10^{-5},$ then $p H=5 .$ Solutions with a pH of 7 are said to be neutral; a pH below 7 indicates an acid; and a pH above 7 indicates a base. (A calculator is helpful for Exercises 53 and 54 .) What is the hydrogen ion concentration for black coffee if the $\mathrm{pH}$ is $5.9 ?$
Exponential and Logarithmic Functions
Logarithmic Functions
pH = -log[H+] where [H+] is the hydrogen ion concentration, measured in moles per liter. Solutions with a pH value of less than 7 are acidic; solutions with a pH value of greater than 7 are basic; solutions with a pH value of 7 (such as pure water) are neutral. Black coffee has a pH of 5 and pure water has a pH of 7. Compare the pH of each and determine how much more acidic black coffee is than pure water.
Use the pH formula in Example 2. The hydrogen ion concentration of fresh-brewed coffee is about $1.3 \times 10^{-5}$ moles per liter. Find the pH.
Exponential Functions and Logarithmic Functions
Applications of Exponential Functions and Logarithmic Functions
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