Final answer:
The ratio of hydrogen ion concentration for pH 3 to pH 7 is calculated using the formula [H+] = 10^-pH. The ratio is found to be 10,000, which corresponds to answer choice d.
Step-by-step explanation:
The question asks to evaluate the ratio of hydrogen ion concentration at two different pH levels: pH 3 and pH 7. To find this ratio, first, we must convert the given pH values back to the concentrations of hydrogen ions (H+), recalling that the pH is the negative logarithm of the hydrogen ion concentration.
The formula for pH is given by pH = -log[H+], and so to reverse this, we use [H+] = 10-pH.
- For pH 3, [H+] = 10-3 = 0.001 M.
- For pH 7, [H+] = 10-7 = 0.0000001 M.
Now to find the ratio [H+] at pH 3 to [H+] at pH 7, we divide the two concentrations:
Ratio = [H+] at pH 3 / [H+] at pH 7 = 0.001 / 0.0000001 = 10,000.
Therefore, the correct answer is d. 10,000.