For a basic solution, we need to consider the relationship between pH and [tex]\([H_3O^+]\)[/tex] concentration.
1. pH:
- The pH scale measures the acidity or basicity of a solution.
- A pH less than 7 indicates an acidic solution.
- A pH of 7 is neutral.
- A pH greater than 7 indicates a basic solution.
Therefore, for a solution to be basic, its pH must be greater than 7.
2. [tex]\([H_3O^+]\)[/tex] Concentration:
- The concentration of hydronium ions, [tex]\([H_3O^+]\)[/tex], is inversely related to the pH of the solution.
- For a neutral solution at 25°C, [tex]\([H_3O^+]\)[/tex] is [tex]\(1 \times 10^{-7}\)[/tex] M.
- In a basic solution, since the pH is greater than 7, [tex]\([H_3O^+]\)[/tex] must be less than [tex]\(1 \times 10^{-7}\)[/tex] M.
Given these relationships, the correct answer matches the following statements:
- pH is [tex]\(\textgreater 7\)[/tex]
- [tex]\([H_3O^+]\)[/tex] is [tex]\(\textless 1 \times 10^{-7}\)[/tex] M
This matches option C.
The correct option is:
C) [tex]\(>7,\ <1 \times 10^{-7} M\)[/tex]
