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If the pH of a solution is 3, what is the concentration of hydrogen ions in the solution?
3├Ч10тБ╗┬▓ M
1├Ч10тБ╗┬│ M
3├Ч10тБ╗┬│ M
1├Ч10тБ╗┬▓ M
1├Ч10тБ╗┬│ M
The pH of a solution is defined as the negative logarithm of the hydrogen ion concentration, denoted as [H+]. Given pH=3, we calculate the concentration using the inverse logarithmic relationship 10тИТpH, which results in 1├Ч10тИТ3M.
The pH of a solution is defined as the negative logarithm of the hydrogen ion concentration, denoted as [H+]. Given pH=3, we calculate the concentration using the inverse logarithmic relationship 10тИТpH, which results in 1├Ч10тИТ3M.
Think of the pH scale like a Richter scale for earthquakes; just as an earthquake magnitude increases by a factor of 10 for every point, the concentration of hydrogen ions changes by a factor of 10 for every pH unit.
pH = Power of Hydrogen (think 'p' for power and 'H' for Hydrogen, where the exponent is the negative pH).
pH=тИТlog10тАЛ[H+] тАФ Definition of pH
[H+]=10тИТpH тАФ Calculating concentration from pH
The pH scale is a logarithmic scale used to measure the acidity or alkalinity of an aqueous solution. Mathematically, pH=тИТlog10тАЛ[H+]. To find the concentration [H+] when the pH is known, we rearrange the formula to [H+]=10тИТpH. Since the scale is logarithmic, each unit change in pH represents a tenfold change in hydrogen ion concentration.
The pH scale typically ranges from 0 to 14.
A pH of 7 is neutral, below 7 is acidic, and above 7 is basic (alkaline).
Acids release hydrogen ions [H+] in water, while bases release hydroxide ions [OHтИТ].
Provides a simple, standard way to express high or low concentrations of ions across many orders of magnitude.
Does not account for the activity coefficient of ions in highly concentrated solutions.
Monitoring blood pH in medical diagnostics.
Testing soil acidity for agricultural efficiency.
For pH=3, [H+]=10тИТ3=0.001M.
Option A and C are mathematically incorrect as they imply a coefficient of 3, which would result in a different pH value (тИТlog(3├Ч10тИТ3)тЙИ2.52).
B is correct тАФ Using the formula [H+]=10тИТpH, a pH of 3 yields a hydrogen ion concentration of 1├Ч10тИТ3M.
Always remember that the pH value is the exponent of the concentration when expressed as a power of 10; ignore the coefficient unless the pH is not a whole number.
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