Question

97. Because atoms, molecules, and ions are very small, they are counted in units of moles, where 1 mole = 6.022 × 1023 molecules. Concentration of ions in a liquid is measured in units of moles per liter. The measure of the acidity of a liquid is called the pH of the liquid and is given by the formula

pH = −log(H),
where H is the concentration of hydrogen ions in units of moles per liter.
c. Suppose that liquid A is more acidic than liquid B, and their pH values differ by 1.2. What is the ratio of the concentration of hydrogen ions in liquid A to the concentration of hydrogen ions in liquid B?

Answer 1

15.85

Explanation:

If A is more acidic than B, so (pH)B > (pH)A, because -log[H⁺] decreases when [H⁺] increases, as demostrated in the graph below. So:

(pH)B - (pH)A = 1.2

-log[H⁺]B -(-log[H⁺]A) = 1.2

-log[H⁺]B + log[H⁺]A = 1.2

log([H⁺]A/[H⁺]B) = 1.2 (propertie of logaritim)

[H⁺]A/[H⁺]B =
`10^(1.2)`

[H⁺]A/[H⁺]B = 15.85