Q.(a) What is meant by the term coordination number?

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1. CBSE 2026Set 56/3/11 markMCQ
   Q.The boiling point of an azeotropic mixture of water and ethanol is less than that of pure water and ethanol. The mixture shows : (A) positive deviation from Raoult's Law. (B) negative deviation from Raoult's Law. (C) no deviation from Raoult's Law. (D) that the solution is an ideal solution.

   ›Reveal solutionSolution

   A mixture with a boiling point lower than its pure components is a minimum boiling azeotrope, which occurs when the solution exhibits positive deviation from Raoult's Law due to higher vapor pressure.

   When we talk about solutions, especially liquid-liquid mixtures, their behavior is often described relative to Raoult's Law. This law provides a baseline for ideal solutions, and deviations from it tell us about the intermolecular interactions within the mixture.

   Understanding Raoult's Law and Deviations

   1. Raoult's Law: For an ideal solution, the partial vapor pressure of each volatile component in the solution is directly proportional to its mole fraction in the solution and the vapor pressure of the pure component.

      $P_A = x_A P_A^\circ$

      $P_B = x_B P_B^\circ$

      Where $P_A$ and $P_B$ are the partial vapor pressures of components A and B in the solution, $x_A$ and $x_B$ are their respective mole fractions, and $P_A^\circ$ and $P_B^\circ$ are the vapor pressures of the pure components.

   2. Ideal Solutions: These solutions perfectly obey Raoult's Law over the entire range of concentrations. In an ideal solution, the intermolecular forces between A-A, B-B, and A-B molecules are all very similar.

   3. Non-Ideal Solutions: Most real solutions do not behave ideally and show deviations from Raoult's Law. These deviations arise from differences in intermolecular forces.

      • Positive Deviation: This occurs when the intermolecular forces between A-B molecules are weaker than the average of A-A and B-B forces. This makes it easier for molecules to escape into the vapor phase, leading to a higher vapor pressure than predicted by Raoult's Law.

        $P_A > x_A P_A^\circ$ and $P_B > x_B P_B^\circ$.

        Examples: Ethanol-water, acetone-carbon disulfide.

      • Negative Deviation: This occurs when the intermolecular forces between A-B molecules are stronger than the average of A-A and B-B forces. This makes it harder for molecules to escape into the vapor phase, leading to a lower vapor pressure than predicted by Raoult's Law.

        $P_A < x_A P_A^\circ$ and $P_B < x_B P_B^\circ$.

        Examples: Acetone-chloroform, nitric acid-water.

   Connecting Vapor Pressure to Boiling Point

   The boiling point of a liquid is the temperature at which its vapor pressure equals the external atmospheric pressure.

   • If a solution has a higher vapor pressure at a given temperature, it will reach the atmospheric pressure at a lower temperature. Thus, a higher vapor pressure corresponds to a lower boiling point.
   • Conversely, if a solution has a lower vapor pressure, it will require a higher temperature to reach atmospheric pressure. Thus, a lower vapor pressure corresponds to a higher boiling point.

   Azeotropes

   Azeotropes are constant boiling mixtures that distill without change in composition. They are a specific type of non-ideal solution.

   • Minimum Boiling Azeotropes: These are formed by solutions showing positive deviation from Raoult's Law. At a specific composition, the solution has a vapor pressure higher than either pure component, leading to a boiling point lower than either pure component. The ethanol-water mixture is a classic example. Pure ethanol boils at $78.4^\circ\text{C}$, pure water boils at $100^\circ\text{C}$, but their azeotrope (approximately $95.6\%$ ethanol by mass) boils at $78.2^\circ\text{C}$. …

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2. CBSE 2026Set 56/1/11 markMCQ
   Q.Assertion (A) : It is not possible to separate the components of an azeotrope by fractional distillation. Reason (R) : Components of an azeotrope have the same composition in liquid and vapour phase and boil at a constant temperature. (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A). (C) Assertion (A) is true, but Reason (R) is false. (D) Assertion (A) is false, but Reason (R) is true.

   ›Reveal solutionSolution

   An azeotrope is a constant-boiling mixture whose vapour has the same composition as the liquid, making separation by simple fractional distillation impossible. Both the assertion and the reason are true, and the reason correctly explains the assertion.

   Concept and Intuition

   Fractional distillation works because, for most liquid mixtures, the vapour is richer in the more volatile component. As you boil the mixture, the vapour is condensed and reboiled repeatedly, gradually enriching the distillate in the lower-boiling component. This process relies on a difference in composition between the liquid and vapour phases at equilibrium.

   An azeotrope is a special mixture that defies this. At a specific composition (the azeotropic composition), the liquid and vapour have exactly the same mole fractions. The mixture boils at a constant temperature — either higher or lower than the boiling points of the pure components — and the vapour that comes off is identical in composition to the liquid left behind. No amount of distillation can change the composition of either phase; the mixture simply boils away unchanged.

   Therefore, the reason (R) correctly states the defining property of an azeotrope, and the assertion (A) correctly states the consequence: you cannot separate the components by fractional distillation.

   Step-by-step reasoning

   1. Understand the assertion.

      Assertion (A) says: “It is not possible to separate the components of an azeotrope by fractional distillation.” This is a well-known fact in chemistry. For example, ethanol and water form a minimum-boiling azeotrope at about 95.6% ethanol by mass. If you try to distill a mixture that is already at that composition, the distillate will also be 95.6% ethanol — you cannot get pure ethanol by simple fractional distillation.

   2. Understand the reason.

      Reason (R) says: “Components of an azeotrope have the same composition in liquid and vapour phase and boil at a constant temperature.” This is the precise definition of an azeotrope. At the azeotropic point, the boiling point is either a maximum or a minimum, and the vapour-liquid equilibrium curve touches the diagonal line (where $x_{\text{liquid}} = y_{\text{vapour}}$). Because the compositions are equal, there is no driving force for separation by distillation.

   3. Check if the reason correctly explains the assertion. …

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3. CBSE 2026Set ANNUAL1 mark
   Q.Write the solute and solvent in the gaseous solution of chloroform in nitrogen gas.

   ›Reveal solutionSolution

   In any solution, the component present in a larger proportion is the solvent, and the one present in a smaller proportion is the solute - this also applies to gas-in-gas solutions.

   …

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4. CBSE 2026Set ANNUAL1 markMCQ
   Q.Which of the following is the correct example of a solid solution in which the solute is in gas phase?

   (a) Copper dissolved in gold

   (b) Camphor in nitrogen gas

   (c) Hydrogen in palladium

   (d) All of the above

   ›Reveal solutionSolution

   Solid solutions are classified by the physical state of the solute dissolved in the solid solvent; hydrogen dissolved in solid palladium is the classic gas-in-solid example.

   A solid solution can have solute particles that are themselves solid, liquid, or gaseous, dispersed uniformly in a solid solvent.

   • Copper dissolved in gold — both are solids, so this is a solid-in-solid solution (an alloy).
   • Camphor in nitrogen gas — this is actually a solid dissolved in a gas (or, read the other way, describes a gas as solvent), not a solid solution with a gaseous solute. …

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5. CBSE 2026Set ANNUAL1 markMCQ
   Q.The carbonated water is an example of _____.

   (a) solid in liquid solution

   (b) liquid in liquid solution

   (c) gas in liquid solution

   (d) liquid in gas solution

   ›Reveal solutionSolution

   Carbonated water is CO$_2$ gas dissolved in water — a gas-in-liquid solution.

   Carbonated water is prepared by dissolving carbon dioxide gas ($CO_2$) under pressure in water. Here the solute (CO$_2$) is a gas and the solvent (water) is a liquid, s …

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6. CBSE 2025Set 56/6/11 markMCQ
   Q.A solution of acetone in ethanol : (A) obeys Raoult's law. (B) forms an ideal solution. (C) shows a positive deviation from Raoult's law. (D) shows a negative deviation from Raoult's law.

   ›Reveal solutionSolution

   Acetone–ethanol mixtures form hydrogen bonds weaker than those in pure ethanol, making escape easier and raising vapor pressure above the ideal prediction. The solution shows a positive deviation from Raoult's law — option (C).

   Types of Solutions: Understanding Deviations from Ideality

   Raoult's law predicts that the partial vapor pressure of each component in a solution is proportional to its mole fraction: $P_i = x_i P_i^0$. This holds perfectly only for ideal solutions, where the intermolecular forces between unlike molecules (A–B) are identical in strength to those between like molecules (A–A and B–B). When these forces differ, the solution deviates from Raoult's law.

   Positive deviation occurs when A–B interactions are weaker than the average of A–A and B–B interactions. Molecules escape more easily into the vapor phase, so the total vapor pressure exceeds the ideal prediction.

   Negative deviation occurs when A–B interactions are stronger than those in the pure components. Molecules are held more tightly in the liquid, reducing vapor pressure below the ideal value.

   The key is to compare the intermolecular forces in the mixture with those in the pure liquids.

   ---

   Step-by-Step Analysis

   1. Identify the intermolecular forces in pure ethanol

      Ethanol ($\ce{C2H5OH}$) has a hydroxyl group that forms strong hydrogen bonds between molecules. These O–H···O interactions are quite robust, holding ethanol molecules together tightly in the liquid phase.

   2. Identify the intermolecular forces in pure acetone

      Acetone ($\ce{CH3COCH3}$) is a polar molecule with a carbonyl group, but it cannot donate hydrogen bonds (no O–H or N–H). It can only accept hydrogen bonds. In pure acetone, the dominant forces are dipole–dipole interactions, which are weaker than hydrogen bonds.

   3. Examine the acetone–ethanol interaction

      When acetone and ethanol mix, ethanol can donate a hydrogen bond to the oxygen of acetone's carbonyl group, forming an O–H···O=C interaction. However, this hydrogen bond is weaker than the O–H···O–H hydrogen bonds present in pure ethanol, because the carbonyl oxygen is a less effective hydrogen-bond acceptor than the hydroxyl oxygen.

   4. Compare net intermolecular forces

      • In pure ethanol: strong H-bonds (O–H···O–H)
      • In the mixture: weaker H-bonds (O–H···O=C) plus dipole–dipole forces …

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7. CBSE 2025Set X11 markMCQ
   Q.Camphor in nitrogen gas, is an example of ______.

   (a) liquid solution

   (b) solid solution

   (c) gaseous solution

   (d) aqueous solution

   ›Reveal solutionSolution

   Solvent = nitrogen gas, solute = solid camphor → a solid-in-gas solution, classified as a gaseous solution.

   A solution is classified by the physical state of the solvent (the component present in larger amount / the medium). Here the medium is nitrogen gas, so the solution is a gaseous solution, with solid camphor as the solute dispersed in it. …

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8. CBSE 2025Set JZ1 markMCQ
   Q.Give an example of such solid solution in which solute is gas.

   (a) Oxygen dissolved in water.

   (b) Solution of camphor in nitrogen.

   (c) Solution of hydrogen in palladium.

   (d) Glucose dissolved in water.

   ›Reveal solutionSolution

   A solid solvent holding a gaseous solute → hydrogen dissolved in palladium, option (c).

   Concept. A solution is a homogeneous mixture; it is classified by the physical state of the solvent (the component in excess), and separately by the state of the solute. A solid solution therefore has a solid as its solvent. The question asks for a solid solution in which the solute is a gas.

   Checking the options:

   • (a) Oxygen (gas) in water (liquid) → this is a liquid solution, not solid.
   • (b) Camphor (solid) in nitrogen (gas) → solvent is a gas, so this is a gaseous solution. …

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9. CBSE 2025Set A1 markMCQ
   Q.Homogeneous mixtures of two or more than two components is —

   (a) Solution

   (b) Liquid solute

   (c) Liquid solvent

   (d) Solvent

   ›Reveal solutionSolution

   A solution is a homogeneous mixture of two or more non-reacting substances.

   A mixture is homogeneous when its composition and properties are uniform throughout — no individual component can be distinguished by eye, and any sample taken from any part of it is identical. A solution (made of a solute dissolved in a solvent) is exactly this kind of mixture. Options (b) 'liquid solute', (c) 'liquid solvent' and (d) 'solvent' each name onl …

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10. CBSE 2024Set 56/2/11 markMCQ
    Q.An azeotropic solution of two liquids has boiling point lower than either of them when it : (A) is saturated (B) shows positive deviation from Raoult's law (C) shows negative deviation from Raoult's law (D) shows no deviation from Raoult's law

    ›Reveal solutionSolution

    An azeotrope with a boiling point lower than either pure component forms when the mixture shows positive deviation from Raoult's law, because the components "want to escape" the liquid phase more readily than ideal behavior predicts. The answer is (B).

    Understanding Azeotropes and Deviations from Ideality

    An azeotrope is a constant-boiling mixture where the vapor has the same composition as the liquid. This means you cannot separate the components by simple distillation at that composition. The key to understanding which type of azeotrope forms lies in how the solution deviates from Raoult's law.

    Raoult's law for an ideal solution states that the partial vapor pressure of each component is proportional to its mole fraction:

    $P_i = x_i P_i^0$

    where $P_i^0$ is the vapor pressure of the pure component. Real solutions often deviate from this ideal behavior due to intermolecular forces between unlike molecules differing from those between like molecules.

    The Connection Between Deviation and Boiling Point

    The boiling point of a liquid is reached when its total vapor pressure equals atmospheric pressure. If a mixture has a higher total vapor pressure than predicted by Raoult's law, it will boil at a lower temperature. Conversely, if the vapor pressure is lower than ideal, the boiling point rises.

    Step-by-Step Analysis

    1. Positive Deviation from Raoult's Law

       When $A$-$B$ interactions are weaker than $A$-$A$ and $B$-$B$ interactions, molecules escape the liquid phase more easily than in an ideal solution. The total vapor pressure is:

    $P_{\text{total}} > x_A P_A^0 + x_B P_B^0$

    This increased vapor pressure means the mixture reaches atmospheric pressure at a lower temperature than either pure component. The azeotrope formed is a minimum-boiling azeotrope.

    2. Negative Deviation from Raoult's Law

       When $A$-$B$ interactions are stronger than $A$-$A$ and $B$-$B$ interactions (hydrogen bonding, for example), molecules are held more tightly in the liquid phase:

    $P_{\text{total}} < x_A P_A^0 + x_B P_B^0$

    The reduced vapor pressure means a higher boiling point than either pure component. This forms a maximum-boiling azeotrope.

    3. No Deviation (Ideal Solution)

       An ideal solution follows Raoult's law exactly. No azeotrope forms because the vapor composition continuously changes with liquid composition during distillation. Complete separation is possible.

    4. Saturation …

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11. CBSE 2024Set ANNUAL1 mark
    Q.Define saturated solution.

    ›Reveal solutionSolution

    A saturated solution has reached the maximum solute concentration possible at that temperature; dissolution and crystallisation occur at equal rates.

    When a solute is added to a solvent, it keeps dissolving until a point is reached where the solution can hold no additional solute (at a fixed temperature and pressure) - at this point a dynamic equilibrium is established between the solute molecules going into solution and those coming out of solution (if excess undissolved solute is present). …

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12. CBSE 2024Set ANNUAL1 mark
    Q.Write names of solute and solvent present in sodium amalgam solution.

    ›Reveal solutionSolution

    Sodium amalgam is a solution of sodium metal dissolved in mercury; since mercury is present in the larger amount and is the medium, it is the solvent, while sodium (the dissolved component) is the solute.

    An amalgam is an alloy/solution of a metal dissolved in mercury. …

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