Question

question 19 (1 point) listen a solution with a ph of 1 is how many times more acidic as a solution with a ph of 4? 1) 0.5 2) 2 3) 10 4) 1000

Explanation:

Step1: Recall pH formula

The pH of a solution is given by \( \text{pH} = -\log_{10}[\text{H}^+] \), where \( [\text{H}^+] \) is the hydrogen ion concentration. So, we can find the hydrogen ion concentration for each pH.
For pH = 1: \( 1 = -\log_{10}[\text{H}^+_1] \) ⇒ \( [\text{H}^+_1] = 10^{-1} \)
For pH = 4: \( 4 = -\log_{10}[\text{H}^+_4] \) ⇒ \( [\text{H}^+_4] = 10^{-4} \)

Step2: Find the ratio of concentrations

To find how many times more acidic the solution with pH 1 is than the one with pH 4, we take the ratio of their hydrogen ion concentrations: \( \frac{[\text{H}^+_1]}{[\text{H}^+_4]} = \frac{10^{-1}}{10^{-4}} \)
Using the rule of exponents \( \frac{a^m}{a^n}=a^{m - n} \), we get \( 10^{-1-(-4)} = 10^{3}=1000 \)

Answer:

1. 1000