How Many Protons [Or, More Accurately, Hydronium Ions (H₃O⁺)] Are

question 13

Multiple Choice

How many protons [or, more accurately, hydronium ions (H₃O⁺) ] are there in a spherical lysosome that is about 0.6 µm in diameter and maintains an interior pH of about 5.0? Recall that the volume of a sphere of radius r is calculated as V = 4/3 × π × r³, and that pH = -log [H⁺]. Avogadro's constant is approximately 6 × 10²³ molecules/mole.

• A) About 700 ions
• B) About 7000 ions
• C) About 70,000 ions
• D) About 700,000 ions
• E) About 7,000,000 ions

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