BCH101intermediate
What is the pH of 0.010 mol/L hydrochloric acid, assuming complete dissociation?
Answer
2
Explanation
### Why this is right
Hydrochloric acid is a strong monoprotic acid, so the hydrogen-ion concentration is approximately $0.010$ mol/L, or $10^{-2}$ mol/L. Therefore, $pH = -\log_{10}(10^{-2}) = 2$.
### The other options
- **1**: this corresponds to a hydrogen-ion concentration of about $0.1$ mol/L.
- **3**: this corresponds to about $0.001$ mol/L.
- **12**: this is alkaline, inconsistent with a strong acid solution.
### Worked numbers
- **Given**: $[H^+] = 0.010$ mol/L.
- **Find**: pH.
- **Formula**: $pH = -\log_{10}[H^+]$.
- **Solve**: $pH = -\log_{10}(0.010) = 2$.
- **Answer**: pH is 2.
- **Check**: an acid concentration of $10^{-2}$ mol/L gives pH 2.
### Terms
- **pH**: the negative base-ten logarithm of hydrogen-ion concentration.
- **Monoprotic acid**: an acid that donates one proton per molecule.
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