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Chapter 15: Problem 46

Stomach acid contains \(\mathrm{HCl}\) , whose concentration is about 0.03 \(\mathrm{mol} / \mathrm{L} .\) What is the pH of stomach acid?

Short Answer

Expert verified
To calculate the pH value of the stomach acid, use the formula for pH and the given concentration of the acid. The pH of the stomach acid is approximately 1.52, when rounded to two decimal places.

Step by step solution

01

Understand the concept of pH

The pH of a solution is defined as the negative logarithm to base 10 of the activity of hydronium ions. For solutions where the acid dissociates completely such as in this case, the pH is equal to the negative log of the hydrogen ion concentration [H+]. The formula is expressed as: pH = - log[H+].
02

Calculate the [H+]

Since hydrochloric acid is a strong acid, it dissociates completely in water, so the concentration of H+ ions will be the same as the concentration of the HCl. So, [H+] = 0.03 mol/L.
03

Calculate the pH

Substitute [H+] in the pH formula: pH = -log[H+] = -log(0.03).

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