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States of Matter and Separation - Changes of State and Diffusion

Grade 9IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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The Kinetic Particle Theory states that all matter is composed of tiny particles that are in constant, random motion. The average kinetic energy of these particles is represented by Ek∝TE_{k} \propto T, where TT is the absolute temperature in Kelvin.

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Solids have particles packed closely in a regular lattice, vibrating about fixed positions. Liquids have particles that are close together but can slide over one another. Gases have particles that are far apart and move rapidly in all directions.

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Phase changes occur when energy is added or removed. Processes requiring energy (endothermic) include melting (solid→liquidsolid \rightarrow liquid), evaporation/boiling (liquid→gasliquid \rightarrow gas), and sublimation (solid→gassolid \rightarrow gas).

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Processes releasing energy (exothermic) include freezing (liquid→solidliquid \rightarrow solid), condensation (gas→liquidgas \rightarrow liquid), and deposition (gas→solidgas \rightarrow solid).

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Diffusion is the net movement of particles from a region of higher concentration to a region of lower concentration, driven by the random motion of particles.

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The rate of diffusion is influenced by temperature and molecular mass. According to the kinetic theory, at the same temperature, particles with a lower relative molecular mass (MrM_{r}) travel at higher average speeds than heavier particles.

📐Formulae

Ek=12mv2E_{k} = \frac{1}{2}mv^{2}

Rate of diffusion∝1MrRate \text{ of diffusion} \propto \frac{1}{\sqrt{M_{r}}}

T(K)=θ(∘C)+273.15T(K) = \theta(^{\circ}C) + 273.15

Density(ρ)=mass(m)volume(V)Density (\rho) = \frac{mass (m)}{volume (V)}

💡Examples

Problem 1:

In a glass tube, Ammonia gas (NH3NH_{3}) and Hydrogen Chloride gas (HClHCl) are introduced at opposite ends. At which position will the white smoke of Ammonium Chloride (NH4ClNH_{4}Cl) form, and why?

Solution:

The white smoke forms closer to the HClHCl end of the tube.

Explanation:

The relative molecular mass of Ammonia is Mr(NH3)=14+(3×1)=17M_{r}(NH_{3}) = 14 + (3 \times 1) = 17, while for Hydrogen Chloride it is Mr(HCl)=1+35.5=36.5M_{r}(HCl) = 1 + 35.5 = 36.5. Since 17<36.517 < 36.5, NH3NH_{3} particles are lighter and diffuse faster than HClHCl particles, covering more distance in the same amount of time.

Problem 2:

A substance is heated from −10∘C-10^{\circ}C to 110∘C110^{\circ}C. If the melting point is 0∘C0^{\circ}C and the boiling point is 100∘C100^{\circ}C, describe the state of the substance at 50∘C50^{\circ}C and 105∘C105^{\circ}C.

Solution:

At 50∘C50^{\circ}C, the substance is a liquid. At 105∘C105^{\circ}C, the substance is a gas.

Explanation:

Since 0∘C<50∘C<100∘C0^{\circ}C < 50^{\circ}C < 100^{\circ}C, the substance has melted but not yet boiled, making it a liquid. At 105∘C105^{\circ}C, the temperature exceeds the boiling point (T>100∘CT > 100^{\circ}C), so the substance has completely transitioned into the gaseous state.