The `P^(H)` of solution is 9. It is times more basic than a solution with `P^(H)` = 6.

Options

A. 3
B. 100
C. 1000
D. 15

Answer

To determine how many times a solution with a pH of 9 is more basic than a solution with a pH of 6, we can follow these steps:

### Step 1: Understand pH and its relationship with H⁺ concentration
The pH of a solution is defined as:
\[ \text{pH} = -\log[H^+] \]
Where \([H^+]\) is the concentration of hydrogen ions in moles per liter.

### Step 2: Calculate the H⁺ concentration for both pH values
For a solution with a pH of 9:
\[ [H^+] = 10^{-\text{pH}} = 10^{-9} \, \text{mol/L} \]

For a solution with a pH of 6:
\[ [H^+] = 10^{-\text{pH}} = 10^{-6} \, \text{mol/L} \]

### Step 3: Compare the H⁺ concentrations
Now, we can compare the two concentrations:
- For pH 9: \([H^+] = 10^{-9} \, \text{mol/L}\)
- For pH 6: \([H^+] = 10^{-6} \, \text{mol/L}\)

### Step 4: Calculate how many times more basic the pH 9 solution is
To find out how many times more basic the pH 9 solution is compared to the pH 6 solution, we take the ratio of the H⁺ concentrations:
\[ \text{Ratio} = \frac{[H^+] \text{ (pH 6)}}{[H^+] \text{ (pH 9)}} = \frac{10^{-6}}{10^{-9}} = 10^{3} = 1000 \]

### Conclusion
Thus, the solution with a pH of 9 is 1000 times more basic than the solution with a pH of 6.

### Final Answer
The answer is 1000.

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