Question detail

Which of the following best describes the relationship between particle size and surface area to volume ratio?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Bulk and surface properties of matter including nanoparticles (chemistry only)

Question

  1. A. Larger particles have a higher surface area to volume ratio
  2. B. Smaller particles have a higher surface area to volume ratio
  3. C. Particle size does not affect surface area to volume ratio
  4. D. Surface area to volume ratio is constant for all particle sizes

Answer

The correct option is Smaller particles have a higher surface area to volume ratio. This answer is correct because it matches the approved learning objective to (chemistry only) Use simple cube models to relate size changes to surface area to volume ratio in the subtopic Sizes of particles and their properties.

Explanation

The correct option is Smaller particles have a higher surface area to volume ratio. Smaller particles have a higher surface area to volume ratio is correct because it directly supports the approved learning objective to (chemistry only) Use simple cube models to relate size changes to surface area to volume ratio. This belongs to the subtopic Sizes of particles and their properties within Bulk and surface properties of matter including nanoparticles (chemistry only), so the explanation must stay tied to that curriculum context. The other options are incorrect because they either do not answer this learning objective, use a vague statement, or move away from Sizes of particles and their properties.

Common mistake

Misunderstanding Surface Area to Volume Ratio

Students often think that as the size of a cube increases, the surface area to volume ratio also increases.

Remind students that as the size of a cube increases, the volume increases faster than the surface area, leading to a decrease in the surface area to volume ratio.

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