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Chemistry · Class 11 Science

Ch 9Solutions — Class 11 Chemistry, concept-first.

Look closely at almost anything around you -- sea water, the air you breathe, even a brass fitting -- and you'll find it is rarely a pure substance. Most matter is a mixture, and when that mixture is uniform right down to the molecular scale, chemists call it a solution.

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Key concepts

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Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

Introduction

Look closely at almost anything around you -- sea water, the air you breathe, even a brass fitting -- and you'll find it is rarely a pure substance.

9.1

Introduction

We can survive weeks without food, but a close look at almost anything around us -- a bottle of mouthwash, sea water, the air we breathe, even a piece of jewellery -- shows it is rarely a pure substan…

9.2

Types of Solutions

A solution is a homogeneous mixture of two or more substances, made up of atoms, ions or molecules distributed uniformly throughout.

9.3

Expressing Concentration of Solutions

Everyday products come labelled with a concentration -- a chlorhexidine mouthwash might say 0.2% (w/v), commercial hydrogen peroxide is typically 3% (w/v), tap-water purity is reported in ppm (parts p…

9.3.1

Standard Solutions and Working Standards

A standard solution (or stock solution) is one whose concentration is known accurately. It is prepared by weighing out a precisely known amount of solute and transferring it to a standard (volumetric)…

9.3.2

Advantages of Using Standard Solutions

Working from a concentrated stock solution and diluting it as needed, rather than weighing out a fresh dilute solution every time, has three practical advantages:

9.4

Solubility of the Solutes

Solubility of a solute is the maximum amount of that solute that can be dissolved in a specific amount of solvent, at a specified temperature.

9.4.1

Factors Influencing the Solubility

Solubility depends on several factors: the chemical nature of the solute and solvent, the temperature, and (for gases) the pressure.

9.5

Henry's Law

William Henry studied how the solubility of a gaseous solute in a particular solvent depends on pressure.

9.5.1

Limitations of Henry's Law

Henry's law is a useful approximation, not a universal law -- it has well-defined limits:

9.6

Vapour Pressure of a Liquid

Liquids have an inherent tendency to evaporate: if a molecule at the liquid's surface has enough kinetic energy to overcome the intermolecular forces of attraction holding it in the liquid, it escapes…

9.7

Vapour Pressure of Liquid Solutions

When a solute -- whatever its physical state (solid, liquid or gas) -- is dissolved in a liquid solvent, the result is a liquid solution.

9.7.1

Vapour Pressure of Binary Solutions of Liquid in Liquid

Consider a binary liquid solution formed by dissolving a volatile liquid solute A in a pure liquid solvent B, in a closed vessel.

9.7.2

Vapour Pressure of Binary Solutions of Solids in Liquids

Now consider the other important binary case: a nonvolatile solute dissolved in a volatile liquid solvent.

9.8

Ideal and Non-ideal Solutions

Every binary liquid solution can be classified by how closely it follows Raoult's law across the entire range of composition -- from pure A, through all intermediate mixtures, to pure B.

9.8.1

Ideal Solutions

An ideal solution is one in which every component -- both the solute and the solvent -- obeys Raoult's law across the entire range of concentration, not just when dilute.

9.8.2

Non-ideal Solutions: Positive and Negative Deviations from Raoult's Law

A non-ideal solution fails to obey Raoult's law across the whole concentration range, and unlike an ideal solution, it shows a measurable change in both enthalpy and volume on mixing: and .

9.8.3

Factors Responsible for Deviation from Raoult's Law

Six distinct factors can drive a solution away from ideal behaviour:

9.9

Colligative Properties

Pure water is tasteless; add sugar and it becomes sweet, add salt and it becomes salty. This shows that a solution's properties generally do depend on the chemical nature of the dissolved solute parti…

9.9.1

Relative Lowering of Vapour Pressure

The vapour pressure of a solution containing a nonvolatile, non-electrolyte solute is always lower than the vapour pressure of the pure solvent alone (this was already derived from Raoult's law in sec…

9.9.2

Elevation of Boiling Point

A liquid's boiling point is the temperature at which its vapour pressure becomes equal to the atmospheric (external) pressure, conventionally 1 atm.

9.9.3

Depression in Freezing Point

Freezing point is defined as the temperature at which the solid and liquid states of a substance have the same vapour pressure -- i.e. the solid and liquid phases are in equilibrium.

9.9.4

Osmosis and Osmotic Pressure

Osmosis is a spontaneous process central to many biological systems: solvent molecules pass through a semipermeable membrane, moving from a solution of lower solute concentration into a solution of hi…

9.10

Reverse Osmosis (RO)

In the ordinary osmosis apparatus of section 9.9.4, pure water spontaneously moves through the semipermeable membrane into the NaCl solution side.

9.11

Abnormal Molar Mass

The molar mass of a nonvolatile solute can, in principle, be calculated accurately from any of the four colligative properties (sections 9.9.1-9.9.4).

9.11.1

Association or Dissociation of Solute Molecules

Association. In certain solvents, solute molecules bond together to form dimers, trimers, or larger aggregates, rather than remaining as separate independent molecules.

9.11.2

Van't Hoff Factor

To quantify exactly how much a solute's association or dissociation shifts the observed (abnormal) molar mass away from its true value, van't Hoff introduced a factor, denoted and now called the van't…

Summary

- A solution is a homogeneous mixture of two or more chemically non-reacting substances, mixed uniformly; the component present in the larger proportion is the solvent, the lesser component is the sol…

Flow Chart

The textbook's own flow chart is headed Solutions, and fans out along several branches:

Evaluation

47 Q

The end-of-chapter evaluation set, printed directly from the textbook in two parts. The first part, "Choose the Best Answer" (30 multiple-choice questions, one explicitly sourced from NEET), tests con…

+Choose the Best Answer30 questions
  1. Q1The molality of a solution containing 1.8 g of glucose dissolved in 250 g of water is (a) 0.2 M (b) 0.01 M (c) 0.02 M (d) 0.04 MFree
  2. Q2Which of the following concentration terms is / are independent of temperature (a) molality (b) molarity (c) mole fraction (d) (a) and (c)Free
  3. Q3Stomach acid, a dilute solution of HCl can be neutralised by reaction with Aluminium hydroxide $\mathrm{Al(OH)_3 + 3HCl(aq) \rightarrow AlCl…Free
  4. Q4The partial pressure of nitrogen in air is 0.76 atm and its Henry's law constant is $7.6 \times 10^{4}$ atm at 300 K. What is the mole fract…Preview
  5. Q5The Henry's law constant for the solubility of Nitrogen gas in water at 350 K is $8 \times 10^{4}$ atm. The mole fraction of nitrogen in air…Preview
  6. Q6Which one of the following is incorrect for ideal solution? (a) $\Delta H_{mix} = 0$ (b) $\Delta U_{mix} = 0$ (c) $\Delta P = P_{observed} -…Preview
  7. Q7Which one of the following gases has the lowest value of Henry's law constant? (a) N$_2$ (b) He (c) CO$_2$ (d) H$_2$Preview
  8. Q8P$_1$ and P$_2$ are the vapour pressures of pure liquid components, 1 and 2 respectively of an ideal binary solution. If x$_1$ represents th…Preview
  9. Q9Osmotic pressure (p) of a solution is given by the relation (a) $p = nRT$ (b) $pV = nRT$ (c) $pRT = n$ (d) none of thesePreview
  10. Q10Which one of the following binary liquid mixtures exhibits positive deviation from Raoult's law? (a) Acetone + chloroform (b) Water + nitric…Preview
  11. Q11The Henry's law constants for two gases A and B are x and y respectively. The ratio of mole fractions of A to B (in the gas phase) is 0.2. T…Preview
  12. Q12At 100$^\circ$C the vapour pressure of a solution containing 6.5 g of a solute in 100 g water is 732 mm. If K$_b$ = 0.52, the boiling point…Preview
  13. Q13According to Raoult's law, the relative lowering of vapour pressure for a solution is equal to (a) mole fraction of solvent (b) mole fractio…Preview
  14. Q14At the same temperature, which pair of the following solutions are isotonic? (a) 0.2 M BaCl$_2$ and 0.2 M urea (b) 0.1 M glucose and 0.2 M u…Preview
  15. Q15The empirical formula of a non-electrolyte (X) is CH$_2$O. A solution containing six gram of X exerts the same osmotic pressure as that of 0…Preview
  16. Q16The K$_H$ for the solution of oxygen dissolved in water is $4 \times 10^{4}$ atm at a given temperature. If the partial pressure of oxygen i…Preview
  17. Q17Normality of 1.25 M sulphuric acid is (a) 1.25 N (b) 3.75 N (c) 2.5 N (d) 2.25 NPreview
  18. Q18Two liquids X and Y on mixing give a warm solution. The solution is (a) ideal (b) non-ideal and shows positive deviation from Raoult's law (…Preview
  19. Q19The relative lowering of vapour pressure of a sugar solution in water is $3.5 \times 10^{-3}$. The mole fraction of water in that solution i…Preview
  20. Q20The mass of a non-volatile solute (molar mass 80 g mol$^{-1}$) which should be dissolved in 92 g of toluene to reduce its vapour pressure to…Preview
  21. Q21For a solution, the plot of osmotic pressure (p) versus the concentration (c in mol L$^{-1}$) gives a straight line with slope 310R where 'R…Preview
  22. Q22200 mL of an aqueous solution of a protein contains 1.26 g of protein. At 300 K, the osmotic pressure of this solution is found to be $2.52…Preview
  23. Q23The Van't Hoff factor (i) for a dilute aqueous solution of the strong electrolyte barium hydroxide is (NEET) (a) 0 (b) 1 (c) 2 (d) 3Preview
  24. Q24What is the molality of a 10% W/W aqueous sodium hydroxide solution? (a) 2.778 (b) 2.5 (c) 10 (d) 0.4Preview
  25. Q25The correct equation for the degree of an associating solute, 'n' molecules of which undergoes association in solution, is (a) $\alpha = \df…Preview
  26. Q26Which of the following aqueous solutions has the highest boiling point? (a) 0.1 M KNO$_3$ (b) 0.1 M Na$_3$PO$_4$ (c) 0.1 M BaCl$_2$ (d) 0.1…Preview
  27. Q27The freezing point depression constant for water is 1.86$^\circ$ K Kg mol$^{-1}$. If 5 g Na$_2$SO$_4$ is dissolved in 45 g water, the depres…Preview
  28. Q28Equimolal aqueous solutions of NaCl and KCl are prepared. If the freezing point of NaCl is $-2^\circ$C, the freezing point of KCl solution i…Preview
  29. Q29Phenol dimerises in benzene having Van't Hoff factor 0.54. What is the degree of association? (a) 0.46 (b) 92 (c) 46 (d) 0.92Preview
  30. Q30Assertion: An ideal solution obeys Raoult's Law. Reason: In an ideal solution, solvent-solvent as well as solute-solute interactions are sim…Preview
+Write Brief Answer17 questions
  1. Q31Define (i) molality (ii) NormalityFree
  2. Q32What is a vapour pressure of liquid? What is relative lowering of vapour pressure?Free
  3. Q33State and explain Henry's lawFree
  4. Q34State Raoult's law and obtain the expression for lowering of vapour pressure when a nonvolatile solute is dissolved in a solvent.Preview
  5. Q35What is molal depression constant? Does it depend on the nature of the solute?Preview
  6. Q36What is osmosis?Preview
  7. Q37Define the term 'isotonic solution'.Preview
  8. Q38You are provided with a solid 'A' and three solutions of A dissolved in water - one saturated, one unsaturated, and one super saturated. How…Preview
  9. Q39Explain the effect of pressure on the solubility.Preview
  10. Q40A sample of 12 M Concentrated hydrochloric acid has a density 1.2 gL$^{-1}$. Calculate the molality.Preview
  11. Q41A 0.25 M glucose solution at 370.28 K has approximately the pressure as blood does. What is the osmotic pressure of blood?Preview
  12. Q42Calculate the molality of a solution containing 7.5 g of glycine (NH$_2$-CH$_2$-COOH) dissolved in 500 g of water.Preview
  13. Q43Which solution has the lower freezing point? 10 g of methanol (CH$_3$OH) in 100 g of water (or) 20 g of ethanol (C$_2$H$_5$OH) in 200 g of w…Preview
  14. Q44How many moles of solute particles are present in one litre of $10^{-4}$ M potassium sulphate?Preview
  15. Q45Henry's law constant for solubility of methane in benzene is $4.2 \times 10^{-5}$ mm Hg at a particular constant temperature. At this temper…Preview
  16. Q46The observed depression in freezing point of water for a particular solution is $0.093^\circ$C. Calculate the concentration of the solution…Preview
  17. Q47The vapour pressure of pure benzene (C$_6$H$_6$) at a given temperature is 640 mm Hg. 2.2 g of a non-volatile solute is added to 40 g of ben…Preview

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 20 questions20 questions
  1. Q1Which of the following 0.1M aqueous solutions will have the lowest freezing point? (a) Urea (b) Potassium sulphate (c) Glucose (d) Sodium ch…Preview
  2. Q2Osmotic pressure (π) of a solution is given by the relation: (a) πRT = n (b) V = πnRT (c) π = nRT (d) πV = nRTPreview
  3. Q3State the term "Isotonic solution".Preview
  4. Q4(i) NH3 and HCl do not obey Henry's law. Why? (ii) Write the structure of the following compounds. (A) NH3 (B) BF3 **OR** (i) Identify the c…Preview
  5. Q5Osmotic pressure (pi) of a solution is given by the relation: (a) piRT = n (b) pi = nRT (c) piV = nRT (d) None of thesePreview
  6. Q6Calculate the mole fraction of methanol and water when 0.5 mole of methanol is mixed with 1.5 moles of water.Preview
  7. Q7Equimolal aqueous solutions of NaCl and KCl are prepared. If the freezing point of NaCl is -2 degree C, the freezing point of KCl solution i…Preview
  8. Q8Define the term "isotonic solution".Preview
  9. Q9Write the formula to calculate the molar mass of a solute from relative lowering of vapour pressure values.Preview
  10. Q10How will you determine the molar mass of solute from elevation of boiling point? **OR** Define: (i) Bond length (ii) Bond angle (iii) Bond e…Preview
  11. Q11Osmotic pressure (π) of a solution is given by the equation: (a) πv = nRT (b) πRT = n (c) π = nRT (d) none of thesePreview
  12. Q12Solubility of carbon-di-oxide gas in cold water can be increased by : (a) decrease in pressure (b) increase in volume (c) increase in pressu…Preview
  13. Q13Define Osmotic Pressure.Preview
  14. Q14Which one of the following binary liquid mixtures exhibits positive deviation from Raoults law? (a) HCl + Water (b) Acetone + Chloroform (c)…Preview
  15. Q15Calculate the molality of the solution containing 90 g of glucose dissolved in 2 kg of water.Preview
  16. Q16(a) (i) State Raoult's Law. (ii) Explain the correction term for Volume in the Van der Waals equation. **OR** (b) Deduce the Vant Hoff equat…Preview
  17. Q17The Van't Hoff Factor (i) for a dilute aqueous solution of the strong electrolyte barium hydroxide is : (a) 2 (b) 0 (c) 3 (d) 1Preview
  18. Q18What are the limitations of Henry's law ?Preview
  19. Q19Osmotic Pressure (π) of a solution is given by relation : (a) π = nRT (b) πV = nRT (c) πRT = n (d) None of thesePreview
  20. Q20Explain how will you predict the direction of a equilibrium reaction.Preview