Final answer:
Tomato juice has a pH of about 4.0 and lemon juice has a pH of about 2.0, thus lemon juice has a hydrogen ion concentration that is 100 times greater than tomato juice because the pH scale is logarithmic, with each unit change representing a tenfold change in hydrogen ion concentration.
Step-by-step explanation:
The question you're asking pertains to the pH scale which is used to measure how acidic or basic a solution is. The pH scale runs from 0 to 14, with 7 being neutral, below 7 being acidic, and above 7 being alkaline. The pH is a logarithmic scale, meaning that each whole number on the scale represents a tenfold increase or decrease in hydrogen ion concentration. Specifically, a one-unit change in pH equals a tenfold change in hydrogen ion concentration.
Given that the pH of tomato juice is about 4.0, and the pH of lemon juice is about 2.0, the hydrogen ion concentration of lemon juice is 100 times greater than that of tomato juice. This is because the difference in pH between tomato juice and lemon juice is 2 pH units (4.0 - 2.0 = 2), and since the pH scale is logarithmic, we calculate the difference in hydrogen ion concentration as 102 (or 10 times 10), which equals 100 times.