Questions: What is the concentration of H+ ions in coffee given that it is slightly acidic? 10^-2 10^-5 10^-7 10^-8

Transcript text: What is the concentration of $\mathrm{H}^{+}$ions in coffee given that it is slightly acidic? $10^{-2}$ $10^{-5}$ $10^{-7}$ $10^{-8}$

Solution

Solution Steps

Step 1: Understanding the pH of Coffee

Coffee is known to be slightly acidic. The pH scale is used to measure the acidity or basicity of a solution, where a pH less than 7 indicates an acidic solution. The concentration of hydrogen ions, $[\mathrm{H}^+]$, in a solution is related to its pH by the formula:

\[ \text{pH} = -\log_{10} [\mathrm{H}^+] \]

For a slightly acidic solution like coffee, the pH is typically around 4 to 5.

Step 2: Calculating $[\mathrm{H}^+]$ from pH

Given that coffee is slightly acidic with a pH around 4 to 5, we can estimate the concentration of $[\mathrm{H}^+]$ using the formula:

\[ [\mathrm{H}^+] = 10^{-\text{pH}} \]

For a pH of 5, the concentration of $[\mathrm{H}^+]$ would be:

\[ [\mathrm{H}^+] = 10^{-5} \]

Step 3: Selecting the Correct Option

From the given options, the concentration of $[\mathrm{H}^+]$ that corresponds to a slightly acidic solution like coffee is $10^{-5}$.