A researcher investigates samples of a solid reacting with a liquid. Each sample has a total volume of 1.0×1018 nm31.0\times10^{18}\ \text{nm}^31.0×1018 nm3 and consists of identical cubic particles. The reaction is complete when all the solid has reacted. All other conditions are kept the same.
| Sample | Side length of each particle in nm\text{nm}nm | Total surface area in nm2\text{nm}^2nm2 | Mean time taken to react in s\text{s}s |
|---|---|---|---|
| A | 100 | 6.0 × 1016 | 240 |
| B | 50 | 1.2 × 1017 | 122 |
| C | 25 | 2.4 × 1017 | 61 |
| D | 10 | To be calculated | To be predicted |
Calculate the total surface area of all the particles in sample D.
Use the data to predict the mean time taken for sample D to react.
Explain your prediction.
104 exam-style questions on AQA GCSE Chemistry 2.4 Bulk and surface properties of matter including nanoparticles, covering 2.4.1 Sizes of particles and their properties and 2.4.2 Uses of nanoparticles. Each one has a worked solution and a mark scheme showing where the marks go.