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Math Applications HL Paper 1 (May 2024, TZ2)

  1. [Maximum mark: 7]

The pH scale is a measure of the acidity of a solution. Its value is given by the formula

pH = −log₁₀[H⁺],

where [H⁺] is the concentration of hydrogen ions in the solution (measured in moles per litre).

(a) Calculate the pH value if the concentration of hydrogen ions is 0.0003. [2]

The pH of milk is 6.6.

(b) Calculate the concentration of hydrogen ions in milk. [2]

The strength of an acid is measured by its concentration of hydrogen ions. A lemon has a pH value of 2 and a tomato has a pH value of 4.5.

(c) Calculate how many times stronger the acid in a lemon is when compared to the acid in a tomato. [3]