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States of Matter and Separation - Elements, Compounds, and Mixtures

Grade 9IB

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

🔑Concepts

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States of Matter: Matter exists in three primary states: Solids (fixed shape and volume, particles vibrate), Liquids (fixed volume, no fixed shape, particles slide over each other), and Gases (no fixed shape or volume, particles move rapidly and randomly).

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Kinetic Molecular Theory: Explains that as temperature increases, the kinetic energy (EkE_k) of particles increases, leading to changes in state. The transition from solid to liquid is melting, and liquid to gas is boiling/evaporation.

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Elements: Pure substances made of only one type of atom. They cannot be broken down into simpler substances by chemical means. Examples include Oxygen (O2O_2) and Gold (AuAu).

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Compounds: Substances formed when two or more elements are chemically bonded in fixed proportions. Properties of a compound (e.g., H2OH_2O) are different from its constituent elements (H2H_2 and O2O_2).

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Mixtures: Physical combinations of two or more substances where each retains its own chemical identity. They can be homogeneous (uniform composition, like salt dissolved in water) or heterogeneous (non-uniform, like oil and water).

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Purity: A pure substance has a sharp, fixed melting point (m.p.m.p.) and boiling point (b.p.b.p.). Impurities lower the m.p.m.p. and raise the b.p.b.p. of a substance.

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Separation Techniques: Methods used to isolate components of a mixture based on physical properties: Filtration (solubility/size), Distillation (boiling point), Chromatography (solubility/adsorption), and Magnetism (magnetic properties).

📐Formulae

Rf=distance moved by the substancedistance moved by the solvent frontR_f = \frac{\text{distance moved by the substance}}{\text{distance moved by the solvent front}}

Density (ρ)=mV\text{Density } (\rho) = \frac{m}{V}

Percentage Purity=Mass of pure substanceTotal mass of sample×100\text{Percentage Purity} = \frac{\text{Mass of pure substance}}{\text{Total mass of sample}} \times 100

Concentration (c)=nV or mV\text{Concentration } (c) = \frac{n}{V} \text{ or } \frac{m}{V}

💡Examples

Problem 1:

In a paper chromatography experiment, a blue dye travels 6.0 cm6.0\text{ cm} from the baseline, while the solvent front travels 8.0 cm8.0\text{ cm}. Calculate the RfR_f value of the blue dye.

Solution:

Rf=6.0 cm8.0 cm=0.75R_f = \frac{6.0\text{ cm}}{8.0\text{ cm}} = 0.75

Explanation:

The RfR_f (retention factor) is a ratio used to identify substances. It is calculated by dividing the distance the solute moves by the distance the solvent moves. It has no units and is always ≤1\le 1.

Problem 2:

A mixture contains sand, common salt (NaClNaCl), and iron filings. Describe the steps to separate this mixture into its pure components.

Solution:

  1. Use a magnet to remove iron filings.
  2. Add water to the remaining mixture and stir to dissolve the NaClNaCl.
  3. Use filtration to separate the insoluble sand from the NaClNaCl solution.
  4. Use evaporation or crystallization on the filtrate to obtain pure NaClNaCl crystals.

Explanation:

This utilizes physical property differences: magnetism (for FeFe), solubility (for NaClNaCl), and particle size (for sand).

Problem 3:

Calculate the percentage purity of a 50 g50\text{ g} sample of limestone if it contains 42 g42\text{ g} of pure calcium carbonate (CaCO3CaCO_3).

Solution:

Percentage Purity=4250×100=84%\text{Percentage Purity} = \frac{42}{50} \times 100 = 84\%

Explanation:

Percentage purity is the ratio of the mass of the pure component to the total mass of the impure sample, expressed as a percentage.