Question 1 Medium
Convert 50 nm into metres in standard form.
Show answer
Answer: 5 × 10⁻⁸ m
- 1 nm = 1 × 10⁻⁹ m.
- 50 × 10⁻⁹ = 5 × 10⁻⁸ m.
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A second set of questions on nanoparticles. They are different from the ones on the topic page. Try each, then open the answer and compare your working.
Convert 50 nm into metres in standard form.
Answer: 5 × 10⁻⁸ m
A coarse particle has a diameter of 5000 nm and a nanoparticle has a diameter of 50 nm. How many times larger is the diameter of the coarse particle?
Answer: 100
Calculate the surface area to volume ratio of a cube with sides of 10 cm.
Answer: 0.6
A particle has a diameter of 3 × 10⁻⁷ m. What is its diameter in nanometres?
Answer: 300 nm
A cube has sides of 0.5 cm. Calculate its surface area to volume ratio.
Answer: 12
Give one risk of using nanoparticles in cosmetics.
Answer: they may enter the body and cause harm
Explain why nanoparticles of titanium dioxide are better than coarse particles in sun cream.
Answer: they block ultraviolet light and are transparent on the skin
Explain why a nanoparticle can have different properties from the bulk material.
Answer: a larger proportion of its atoms are on the surface
Short questions with options. Choose one before you open the answer.
How big is 1 nm in metres?
1 × 10⁻⁹ m.
What is the size range of nanoparticles?
1 nm to 100 nm.
What is the size range of fine particles?
100 nm to 2500 nm.
What is the size range of coarse particles?
2500 nm to 10 000 nm.
What is the surface area of a cube with side L?
6 × L².
What is the volume of a cube with side L?
L³.
What is the surface area to volume ratio of a cube?
6 ÷ L.
What happens to the ratio when particles get smaller?
It increases.
Why are nanoparticles useful as catalysts?
They have a large surface area, so less material is needed.
Name two nanoparticles used in sun creams.
Titanium dioxide and zinc oxide.
Why are silver nanoparticles used in dressings?
They kill bacteria.
Give one risk of nanoparticles.
They may enter cells and the long-term effects are unknown.
How many atoms are in a nanoparticle roughly?
A few hundred.
How do you convert nanometres into metres?
Multiply by 10⁻⁹.
Why can a nanoparticle behave differently from the bulk material?
A much larger share of its atoms are on the surface.
What is surface area?
The total area of the outside of an object.
What is volume?
The amount of space inside an object.
How many faces does a cube have?
Six.
What is the surface area to volume ratio of a cube with side 2 cm?
3.
What happens to the ratio when the side of a cube is halved?
It doubles.
What is another name for coarse particles?
Dust.
How do you convert metres into nanometres?
Multiply by 10⁹.
Why does powdered sugar dissolve faster than a sugar cube?
It has a larger surface area to volume ratio, so more sugar touches the water.
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