Question

1. how much has the hydrogen ion concentration changed in a solution if its ph value goes from 6 to 4? remember to indicate whether this change represents an increase or decrease in hydrogen ion concentration.

Explanation:

Step1: Use the pH formula

The formula for pH is \(pH = -\log[H^{+}]\), where \([H^{+}]\) is the hydrogen - ion concentration. So, \([H^{+}]=10^{-pH}\).

Step2: Calculate initial hydrogen - ion concentration

When \(pH = 6\), \([H^{+}]_1 = 10^{-6}\).

Step3: Calculate final hydrogen - ion concentration

When \(pH = 4\), \([H^{+}]_2 = 10^{-4}\).

Step4: Find the ratio of concentrations

The ratio \(\frac{[H^{+}]_2}{[H^{+}]_1}=\frac{10^{-4}}{10^{-6}}\). Using the rule of exponents \(a^m\div a^n=a^{m - n}\), we have \(10^{-4-( - 6)}=10^{2}=100\). Since \(100>1\), the hydrogen - ion concentration has increased.

Answer:

The hydrogen - ion concentration has increased by a factor of \(100\).