10 (a) Atoms, molecules, nanoparticles and protons are types of particle. List these four types of particle in order of size from smallest to largest. (b) Nanoparticles have a large surface area to volume ratio. Figure 19 shows a cube-shaped nanoparticle with sides of 90nm. (i) What is 90nm in metres? A. 90.0 x 10⁵ B. 9.0 x 10⁶ C. 9.0 x 10⁸ D. 9.0 x 10⁻¹¹ (ii) Calculate the simplest surface area to volume ratio for the nanoparticle in Figure 19. Show your working.

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10 (a) Atoms, molecules, nanoparticles and protons are types of particle - Edexcel - GCSE Chemistry - Question 10 - 2023 - Paper 2

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10 (a) Atoms, molecules, nanoparticles and protons are types of particle. List these four types of particle in order of size from smallest to largest. (b) Nanoparti... show full transcript

Worked Solution & Example Answer:10 (a) Atoms, molecules, nanoparticles and protons are types of particle - Edexcel - GCSE Chemistry - Question 10 - 2023 - Paper 2

Step 1

List these four types of particle in order of size from smallest to largest.

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Answer

The order of particle sizes from smallest to largest is:

Protons
Atoms
Molecules
Nanoparticles

Step 2

What is 90nm in metres?

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Answer

To convert nanometres to metres:

1 nm = $1 imes 10^{-9}$ m, so:
90 nm = $90 imes 10^{-9}$ m = $9.0 imes 10^{-8}$ m. Thus, the correct answer is C. 9.0 x 10⁸.

Step 3

Calculate the simplest surface area to volume ratio for the nanoparticle in Figure 19.

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Answer

For a cube-shaped nanoparticle with side length $s = 90 ext{ nm}$ :

Volume (V) = $s^3$ : $V = (90 imes 10^{-9})^3 = 7.29 imes 10^{-13} ext{ m}^3$
Surface Area (SA) = $6s^2$ : $SA = 6(90 imes 10^{-9})^2 = 4.86 imes 10^{-13} ext{ m}^2$
Surface Area to Volume Ratio (SA:V): $ext{Ratio} = rac{SA}{V} = rac{4.86 imes 10^{-13}}{7.29 imes 10^{-13}} = 0.6667 ext{ m}^{-1}$

Thus, the simplest surface area to volume ratio for the nanoparticle is approximately 0.67 m⁻¹.

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10 (a) Atoms, molecules, nanoparticles and protons are types of particle - Edexcel - GCSE Chemistry - Question 10 - 2023 - Paper 2

Worked Solution & Example Answer:10 (a) Atoms, molecules, nanoparticles and protons are types of particle - Edexcel - GCSE Chemistry - Question 10 - 2023 - Paper 2

List these four types of particle in order of size from smallest to largest.

What is 90nm in metres?

Calculate the simplest surface area to volume ratio for the nanoparticle in Figure 19.

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