Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
A glass of grapefruit juice, at pH 3, contains __________ H+ as a glass of tomato juice, at pH 4.
A
one-tenth as much
B
half as much
C
twice as much
D
ten times as much
Verified step by step guidance
1
Understand the concept of pH: pH is a measure of the hydrogen ion concentration in a solution. It is calculated using the formula: \( \text{pH} = -\log_{10}[H^+] \). A lower pH value indicates a higher concentration of hydrogen ions.
Compare the pH values: Grapefruit juice has a pH of 3, and tomato juice has a pH of 4. This means grapefruit juice is more acidic than tomato juice.
Calculate the difference in pH: The difference in pH between grapefruit juice and tomato juice is 1 (4 - 3 = 1).
Determine the change in hydrogen ion concentration: Since pH is a logarithmic scale, a difference of 1 pH unit corresponds to a tenfold difference in hydrogen ion concentration. Therefore, grapefruit juice has ten times the concentration of hydrogen ions compared to tomato juice.
Conclude the comparison: Based on the calculations, a glass of grapefruit juice contains ten times as much \( H^+ \) as a glass of tomato juice.