Podcast
Questions and Answers
What happens to the surface area to volume ratio as the radius of the sphere decreases?
What happens to the surface area to volume ratio as the radius of the sphere decreases?
Why are nanoparticles more chemically reactive?
Why are nanoparticles more chemically reactive?
What is the surface area of a sphere of radius r?
What is the surface area of a sphere of radius r?
What is the volume of a sphere of radius r?
What is the volume of a sphere of radius r?
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What happens to a material's reactivity when it is produced in its nanoparticle form?
What happens to a material's reactivity when it is produced in its nanoparticle form?
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What is the advantage of materials made up of nanoparticles?
What is the advantage of materials made up of nanoparticles?
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Study Notes
Surface Area to Volume Ratio of Nanoparticles
- The surface area to volume ratio of a material is significantly affected when it is composed of nanoparticles.
- Materials made up of nanoparticles have a relatively larger surface area compared to the same volume of material made up of bigger particles.
Mathematical Representation
- The surface area of a sphere is 4πr2, where r is the radius.
- The volume of a sphere is (4/3)πr3.
- The surface area to volume ratio is 3/r, indicating that the ratio increases as the radius of the sphere decreases.
Properties of Nanoparticles
- When a given volume of material is made up of smaller particles, the surface area of the material increases.
- A greater proportion of particles are found at the surface of the material as particle size decreases.
- Materials made of nanoparticles have a much greater surface area per unit volume ratio compared to materials made up of bigger particles.
Chemical Reactivity
- Nanoparticles are more chemically reactive due to their increased surface area.
- Chemical reactions occur between particles that are on the surface, making a given mass of nanomaterial more reactive than the same mass of material made up of large particles.
- Materials that are inert in their bulk form can become reactive when produced in their nanoparticle form.
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Description
Discover how the surface area to volume ratio affects the properties of materials made up of nanoparticles, and learn how to calculate it for spheres.
