Let’s analyze each solution to determine which one has the highest concentration of protons.
1. Solution with pH 3:
- The pH of a solution is defined as [tex]\( \text{pH} = -\log[\text{H}^+] \)[/tex].
- If the pH is 3, this implies [tex]\(\text{H}^+ = 10^{-3} \)[/tex] M.
- Therefore, the proton concentration is [tex]\( 10^{-3} \)[/tex] M.
2. Solution with [tex]\(1 \times 10^{-1} \)[/tex] M protons:
- The concentration of protons is directly given as [tex]\( 1 \times 10^{-1} \)[/tex] M (or 0.1 M).
3. Solution with [tex]\(2 \times 10^{-6} \)[/tex] M protons:
- The concentration of protons is directly given as [tex]\( 2 \times 10^{-6} \)[/tex] M.
4. Solution with 0.01 M protons:
- The concentration of protons is directly given as 0.01 M (or [tex]\( 10^{-2} \)[/tex] M).
Now, let's compare these proton concentrations:
- [tex]\( 10^{-3} \)[/tex] M
- [tex]\( 1 \times 10^{-1} \)[/tex] M
- [tex]\( 2 \times 10^{-6} \)[/tex] M
- 0.01 M (or [tex]\( 10^{-2} \)[/tex] M)
To find the highest concentration, we compare the exponential terms and coefficients:
- [tex]\( 10^{-3} \)[/tex] M (which is 0.001 M)
- 0.1 M (which is [tex]\( 1 \times 10^{-1} \)[/tex] M)
- [tex]\( 2 \times 10^{-6} \)[/tex] M (which is 0.000002 M)
- 0.01 M (which is [tex]\( 10^{-2} \)[/tex] M)
From these values, it is clear that the highest concentration of protons is [tex]\( 0.1 \)[/tex] M, as it is the largest number.
Therefore, the solution with [tex]\( 1 \times 10^{-1} \)[/tex] M protons has the most protons.
