A pH of 1.5 is _____ times more acidic than a pH of 4.0.
what is 10^2.5?
316
[H+] = 10^-1.5 = 0.0316
[H+] = 10^-4.0 = 0.0001
0.0316 / 0.0001 = 316
To determine how many times more acidic a pH of 1.5 is compared to a pH of 4.0, we need to understand the pH scale and how it measures acidity.
The pH scale consists of a range of values from 0 to 14, with 7 being considered neutral. Values below 7 are acidic, while values above 7 are basic (alkaline).
The scale is logarithmic, meaning that each whole number change in pH represents a tenfold change in acidity. For example, a solution with pH 3 is ten times more acidic than a solution with pH 4, and one hundred times more acidic than a solution with pH 5.
In this case, we are comparing a pH of 1.5 to a pH of 4.0. Since the scale is logarithmic, we can subtract 1.5 from 4 to find the difference, which is 2.5 (4 - 1.5 = 2.5).
To determine how many times more acidic a pH of 1.5 is compared to a pH of 4.0, we can raise 10 to the power of the difference. In this case, 10^2.5 ≈ 316.2.
Therefore, a pH of 1.5 is approximately 316.2 times more acidic than a pH of 4.0.