A new consumer fabric has been developed using silver nanoparticles for antibacterial protection.
Explain one possible risk of using nanoparticles in clothing or consumer products.
A cube-shaped nanoparticle has sides of length 40 nm40\text{ nm}40 nm.

Calculate the surface area to volume ratio for this nanoparticle.
Use the equation: ratio=surface area÷volume\text{ratio} = \text{surface area} \div \text{volume}ratio=surface area÷volume
Scientists compare the size of nanoparticles to the sizes of other small objects.
Look at the table:
| Object | Diameter (nm) |
|---|---|
| Helium atom | 0.1 |
| Glucose molecule | 0.9 |
| Carbon nanotube | 1.2 |
| Silver nanoparticle | 16 |
| Red blood cell | 7000 |
| Fine paper fiber | 30000 |
Explain why a carbon nanotube is a nanoparticle but a glucose molecule is not a nanoparticle.
Calculate how many silver nanoparticles would fit across the width of a fine paper fiber.
Give your answer to 2 significant figures.