Chapter 17: Problem 11
What is the \(\mathrm{pH}\) of a \(0.0075 \mathrm{M}\) solution of HCl? What is the hydroxide ion concentration of the solution?
Short Answer
Step by step solution
Understanding the Problem
Calculate \\( ext{pH} \\\)
Calculate the Hydroxide Ion Concentration
Interpretation of Results
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Strong Acids
- **Complete dissociation** is the key aspect that defines strong acids. - This property leads to a simple relationship between the acid concentration and the concentration of hydrogen ions.
Since the dissociation is 100%, in a solution of HCl with a concentration of 0.0075 M, the concentration of hydrogen ions is also 0.0075 M.
Dissociation in Water
**Water molecules** play a crucial role. They help separate the ions due to their polar nature. This means each water molecule has a slight positive and negative side, aiding in dissociation.
For strong acids:
- This process occurs immediately and completely, creating a high concentration of ions, like in our example with HCl.
Ion-Product Constant
When you dissolve an acid like HCl in water:
- The concentration of hydrogen ions increases significantly, shifting the balance.
- The increase in \([H^+]\) is mirrored by a decrease in \([OH^-]\), due to this constant relationship.
Hydroxide Ion Concentration
- \([OH^-] = \frac{1.0 \times 10^{-14}}{0.0075 M} = 1.33 \times 10^{-12} M\)
- This low \([OH^-]\) reflects the acidic nature of the solution, leading to a low pH and confirming the acidic environment.