Worksheet: Nanoparticles

In this worksheet, we will practice identifying nanoparticles, describing their properties and uses.


A nanoparticle is shaped like a cube with sides 20 nm in length. What is the surface-area-to-volume ratio?


How many atoms does a single nanoparticle typically contain?

  • AA few thousand
  • BLess than ten
  • CA few hundred
  • DBetween ten and one hundred
  • ETens of thousands


A human hair has a diameter of 80,000 nm. How many nanoparticles with a diameter of 50 nm would fit across the human hair? Give your answer to the nearest whole number.


Why can nanoparticles be used as effective catalysts in very small quantities?

  • AThey are transition metals.
  • BThey are lightweight.
  • CThey have low reactivity.
  • DThey are inflammable.
  • EThey have a high surface-area-to-volume ratio.


Which of the following reasons could explain why 1 g of gold nanoparticles are a better catalyst than 1 g of solid gold metal?

  • AThe nanoparticles have a smaller mass.
  • BThe nanoparticles have a larger surface area.
  • CThe nanoparticles have a smaller surface area.
  • DThe nanoparticles have a greater mass.
  • EThe nanoparticles have a larger volume.


A type of nanoparticle known as a nanocube is shown in the diagram. Using the dimensions provided, what is the volume of the nanoparticle?


Nanoparticles are used in sun cream. Which of the following reasons is not an advantage of adding nanoparticles to sun creams?

  • ANanoparticles in sun creams are absorbed deeper into the skin and provide longer protection.
  • BNanoparticles in sun creams may be washed away into the environment.
  • CNanoparticles in sun creams result in a transparent liquid.
  • DNanoparticles in sun creams give better skin coverage.
  • ENanoparticles in sun creams provide better protection against UV rays.


Which of the following statements about nanoparticles is correct?

  • ANanoparticles have a low surface-area-to-volume ratio.
  • BNanoparticles cannot be used as catalysts.
  • CNanoparticles cannot form a transparent layer.
  • DNanoparticles pose no risks to the environment.
  • ENanoparticles can be used as an antibacterial agent.


What is the diameter, in meters, of the nanoparticle in the diagram?

  • A2×10 m
  • B2×10 m
  • C2×10 m
  • D0.2×10 m
  • E20×10 m


Which of the following statements could not be used to describe nanoparticles?

  • AParticles with a high surface-area-to volume ratio
  • BParticles 1–100 nm in size
  • CParticles that are smaller than most atoms
  • DParticles with different properties than those of the same material in bulk
  • EParticles containing a few hundred atoms or ions


What property of some nanoparticles means that they could be used to form microscopic electrical circuits for computer chips?

  • AThey are easily absorbed by the body.
  • BThey have antibacterial properties.
  • CThey continuously release silver ions.
  • DThey conduct electricity.
  • EThey block UV rays.


Put the following sizes of particle in the correct order from smallest to largest.

  • ACoarse particles, fine particles, nanoparticles
  • BFine particles, coarse particles, nanoparticles
  • CCoarse particles, nanoparticles, fine particles
  • DNanoparticles, fine particles, coarse particles
  • ENanoparticles, coarse particles, fine particles


What will happen to the total volume and the total surface area of a cube being split into 8 equally sized pieces, as shown in the diagram?

  • AThe total volume doubles and the total surface area is the same.
  • BThe total volume is the same and the total surface area is eight times larger.
  • CThe total volume doubles and the total surface area doubles.
  • DThe total volume is eight times larger and the total surface area is eight times larger.
  • EThe total volume is the same and the total surface area doubles.


What is the surface-area-to-volume ratio of the nanoparticle in the diagram?

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