Q 1. Define an Ideal Solution and Write One of Its Characteristics? A1 The
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Solution Is a Homogeneous Mixture of Two Or More Substances in Same Or Different Physical Phases. the Substances Forming The
CLASS NOTES Class:12 Topic: Solutions Subject: Chemistry Solution is a homogeneous mixture of two or more substances in same or different physical phases. The substances forming the solution are called components of the solution. On the basis of number of components a solution of two components is called binary solution. Solute and Solvent In a binary solution, solvent is the component which is present in large quantity while the other component is known as solute. Classification of Solutions Solubility The maximum amount of a solute that can be dissolved in a given amount of solvent (generally 100 g) at a given temperature is termed as its solubility at that temperature. The solubility of a solute in a liquid depends upon the following factors: (i) Nature of the solute (ii) Nature of the solvent (iii) Temperature of the solution (iv) Pressure (in case of gases) Henry’s Law The most commonly used form of Henry’s law states “the partial pressure (P) of the gas in vapour phase is proportional to the mole fraction (x) of the gas in the solution” and is expressed as p = KH . x Greater the value of KH, higher the solubility of the gas. The value of KH decreases with increase in the temperature. Thus, aquatic species are more comfortable in cold water [more dissolved O2] rather than Warm water. Applications 1. In manufacture of soft drinks and soda water, CO2 is passed at high pressure to increase its solubility. 2. To minimise the painful effects (bends) accompanying the decompression of deep sea divers. O2 diluted with less soluble. -
Physical Chemistry
Subject Chemistry Paper No and Title 10, Physical Chemistry- III (Classical Thermodynamics, Non-Equilibrium Thermodynamics, Surface chemistry, Fast kinetics) Module No and Title 10, Free energy functions and Partial molar properties Module Tag CHE_P10_M10 CHEMISTRY Paper No. 10: Physical Chemistry- III (Classical Thermodynamics, Non-Equilibrium Thermodynamics, Surface chemistry, Fast kinetics) Module No. 10: Free energy functions and Partial molar properties TABLE OF CONTENTS 1. Learning outcomes 2. Introduction 3. Free energy functions 4. The effect of temperature and pressure on free energy 5. Maxwell’s Relations 6. Gibbs-Helmholtz equation 7. Partial molar properties 7.1 Partial molar volume 7.2 Partial molar Gibb’s free energy 8. Question 9. Summary CHEMISTRY Paper No. 10: Physical Chemistry- III (Classical Thermodynamics, Non-Equilibrium Thermodynamics, Surface chemistry, Fast kinetics) Module No. 10: Free energy functions and Partial molar properties 1. Learning outcomes After studying this module you shall be able to: Know about free energy functions i.e. Gibb’s free energy and work function Know the dependence of Gibbs free energy on temperature and pressure Learn about Gibb’s Helmholtz equation Learn different Maxwell relations Derive Gibb’s Duhem equation Determine partial molar volume through intercept method 2. Introduction Thermodynamics is used to determine the feasibility of the reaction, that is , whether the process is spontaneous or not. It is used to predict the direction in which the process will be spontaneous. Sign of internal energy alone cannot determine the spontaneity of a reaction. The concept of entropy was introduced in second law of thermodynamics. Whenever a process occurs spontaneously, then it is considered as an irreversible process. -
Instruction Sheet 667 4961
06/05-W97-Se Instruction sheet 667 4961 7 1 2 Apparatus for molar mass determination, boiling point method (667 4961) 3 6 5 4 1 Thermometer connection 2 Drying tube 3 Internal condenser 4 Boiling tube with 2 side tubes 5 Boiling jacket 6 Filler neck 7 Glass stopper 1 Description 2 Scope of supply The apparatus for determining the molar mass, boiling point 1 boiling tube with 2 side tubes method (ebullioscopic method) allows the molar mass of a 1 internal condensor with ST 19/26 dissolved substance to be determined from the amount by which the boiling point of the pure solvent is increased. For an 1 drying tube with ST 7/16 exact measurement of the boiling-point elevation to an 1 glass stopper ST 14.5/23 accuracy of ±0.01 K, the Beckmann thermometer (666 173) or 1 boiling jacket a digital thermometer (666 209 or 666 454 respectively) with an NTC temperature sensor is used. 3 Technical data Thermometer connection: ST 19/26 Drying tube: ST 7/16 Internal condensor: ST 19/26 Filler neck: ST 14.5/23 Boiling jacket: Glass cylinder with insulation (asbestos free) Safety notes 4 Accessories In order to avoid delays in boiling: 1 Beckmann thermometer 666 173 - Put glass beads, Raschig rings or a platinum tetrahe- or dron into the boiling tube. 1 digital thermometer 666 209 If readily flammable solvents are used: or 666 454 - Remove all naked flames when filling and opening the 1 temperature sensor, NTC, 260 mm 666 2121 apparatus. 1 reducing adapter ST 19/26 to GL18 665 305 1 gas or electric burner Instruction sheet 667 4961 Page 2/3 5 Putting the apparatus into operation 6 Carrying out the experiment - Accurately measure off approx. -
Solubility and Precipitates
Solubility and Precipitates • Everything dissolves in everything else, but to what extent? • Rule of thumb: If solubility limit < 0.01 M, it is considered insoluble Solubility rules (guidelines) - - - + + + + + + • All NO3 , C2H3O2 , ClO4 , Group IA metal ions (Li , Na , K , Rb , Cs ) and NH4 salts are soluble. • Most Cl-, Br-, and I- salts are soluble. 2+ + 2+ – Exceptions: Pb , Ag , and Hg2 2- • Most SO4 salts are soluble. 2+ 2+ 2+ 2+ 2+ – Exceptions: Sr , Ba , Pb and Hg2 (Ca is slightly soluble) 2- - 3- 2- • Most CO3 , OH , PO4 , and S salts are insoluble. – Exceptions: Group IA metal ions (Ca2+, Ba2+ and Sr2+ are slightly soluble) If you’re not part of the solution… • You’re part of the precipitate! • In net ionic equations, the precipitate does not dissociate (stays as one entity) • Example: AgNO3 + NaCl à AgCl + NaNO3 (overall) + - + - + - • Ag + NO3 + Na + Cl à AgCl + Na + NO3 (ionic) • Ag+ + Cl- à AgCl (net ionic) Empirical Gas Laws • Early experiments conducted to understand the relationship between P, V and T (and number of moles n) • Results were based purely on observation – No theoretical understanding of what was taking place • Systematic variation of one variable while measuring another, keeping the remaining variables fixed Boyle’s Law (1662) • For a closed system (i.e. no gas can enter or leave) undergoing an isothermal process (constant T), there is an inverse relationship between the pressure and volume of a gas (regardless of the identity of the gas) V α 1/P • To turn this into an equality, introduce a constant of proportionality (a) à V = a/P, or PV = a • Since the product of PV is equal to a constant, it must UNIVERSALLY (for all values of P and V) be equal to the same constant P1V1 = P2V2 Boyle’s Law • There is an inverse relationship between P and V (isothermal, closed system) https://en.wikipedia.org/wiki/Boyle%27s_law Charles’ Law (1787) • For a closed system undergoing an isobaric process (constant P), there is a direct relationship between the volume and temperature of a gas. -
Simple Mixtures
Simple mixtures Before dealing with chemical reactions, here we consider mixtures of substances that do not react together. At this stage we deal mainly with binary mixtures (mixtures of two components, A and B). We therefore often be able to simplify equations using the relation xA + xB = 1. A restriction in this chapter – we consider mainly non-electrolyte solutions – the solute is not present as ions. The thermodynamic description of mixtures We already considered the partial pressure – the contribution of one component to the total pressure, when we were dealing with the properties of gas mixtures. Here we introduce other analogous partial properties. Partial molar quantities: describe the contribution (per mole) that a substance makes to an overall property of mixture. The partial molar volume, VJ – the contribution J makes to the total volume of a mixture. Although 1 mol of a substance has a characteristic volume when it is pure, 1 mol of a substance can make different contributions to the total volume of a mixture because molecules pack together in different ways in the pure substances and in mixtures. Imagine a huge volume of pure water. When a further 1 3 mol H2O is added, the volume increases by 18 cm . When we add 1 mol H2O to a huge volume of pure ethanol, the volume increases by only 14 cm3. 18 cm3 – the volume occupied per mole of water molecules in pure water. 14 cm3 – the volume occupied per mole of water molecules in virtually pure ethanol. The partial molar volume of water in pure water is 18 cm3 and the partial molar volume of water in pure ethanol is 14 cm3 – there is so much ethanol present that each H2O molecule is surrounded by ethanol molecules and the packing of the molecules results in the water molecules occupying only 14 cm3. -
Department of Chemistry, Question Bank B
Shri R. L. T. College of Science, Akola Department of Chemistry, Question Bank B. Sc-II (Semester-IV) Paper: 4S Chemistry Physical Chemistry (Unit-V & VI) Short Answer Question (1 Mark) 1.What is the molal elevation constant? Give its unit. 2.What is ebullioscopic constant? 3.What is cryoscopic constant? 4.What is Van’t Hoff Factor? 5.What is colligative property? Name the four colligative properties? 6.What is elevation of boiling point? 7.What is depression of freezing point? 8.What is Axis of Symmetry? 9.What is Low of Symmetry? 10. What is unit Cell? 11. Define the Following terms (1 M each) 12. i) Unit cell ii) Space lattice iii) Plane of Symmetry iv) Point of symmetry v) Weiss indices vi) Center of symmetry vii) Lattice point viii) Axis of symmetry ix) Simple cubic crystal x) Body centered cubic xi) Face centered cubic 13. Define the Following terms (1 M each) i) Dilute solution ii) Boiling Point, iii) Freezing Point, iv) Van’t Hoff Factor, v) Molal Elevation constant, vi) Molal depression constant vii) Solution viii) Solvent Fill in the Blanks (1/2 Mark Each) i) Phenol in chloroform to form double molecule. ii) The elevation in boiling point is proportional to pressure. iii) Van’t Hoff factor for sucrose is . iv) The property which depends on the number of particals of the substance in solution is known as property. v) The presence of solute the boiling point of solvent. vi) The presence of solute the freezing point of solvent vii) What is Beckmann thermometer is a thermometer. -
Chapter 9 Ideal and Real Solutions
2/26/2016 CHAPTER 9 IDEAL AND REAL SOLUTIONS • Raoult’s law: ideal solution • Henry’s law: real solution • Activity: correlation with chemical potential and chemical equilibrium Ideal Solution • Raoult’s law: The partial pressure (Pi) of each component in a solution is directly proportional to the vapor pressure of the corresponding pure substance (Pi*) and that the proportionality constant is the mole fraction (xi) of the component in the liquid • Ideal solution • any liquid that obeys Raoult’s law • In a binary liquid, A-A, A-B, and B-B interactions are equally strong 1 2/26/2016 Chemical Potential of a Component in the Gas and Solution Phases • If the liquid and vapor phases of a solution are in equilibrium • For a pure liquid, Ideal Solution • ∆ ∑ Similar to ideal gas mixing • ∆ ∑ 2 2/26/2016 Example 9.2 • An ideal solution is made from 5 mole of benzene and 3.25 mole of toluene. (a) Calculate Gmixing and Smixing at 298 K and 1 bar. (b) Is mixing a spontaneous process? ∆ ∆ Ideal Solution Model for Binary Solutions • Both components obey Rault’s law • Mole fractions in the vapor phase (yi) Benzene + DCE 3 2/26/2016 Ideal Solution Mole fraction in the vapor phase Variation of Total Pressure with x and y 4 2/26/2016 Average Composition (z) • , , , , ,, • In the liquid phase, • In the vapor phase, za x b yb x c yc Phase Rule • In a binary solution, F = C – p + 2 = 4 – p, as C = 2 5 2/26/2016 Example 9.3 • An ideal solution of 5 mole of benzene and 3.25 mole of toluene is placed in a piston and cylinder assembly. -
9.2 Raoult's Law and Henry's
Chapter 9 The Behavior of Solutions 1 9.2 Raoult’s Law and Henry’s Law (1) Initially evacuated vessel at T liq. A (2) spontaneously evaporate until P in the vessel ° reaches the saturated vapor pressure of liq. A, p A, at T (3) a dynamic equilibrium established between the rate of evaporation of liq. A & the rate of condensation of vapor A. 2 9.2 Raoult’s Law and Henry’s Law • re(A) α the # of A atoms in the vapor phase, ° thus, rc(A) = kp A , and at equilibrium (9.1) • Similarly, pure liquid B (9.2) re(A) rc(A) liq. A 3 9.2 Raoult’s Law and Henry’s Law (A) the effect of the small addition of liquid B to liquid A Assume (1) the composition of the surface of the liquid = that of the bulk liquid, XA, (2) the sizes of A & B atoms comparable (9.3) (9.4) 4 9.2 Raoult’s Law and Henry’s Law • From (9.1) and (9.3) gives (9.5) and from (9.2) and (9.4) gives (9.6) • Raoult’s law: the vapor pressure exerted by a component i in a solution = (the mole fraction of i in the solution) X (the saturated vapor pressure of pure liquid i ) at T of the solution. 5 9.2 Raoult’s Law and Henry’s Law • Requirements: the intrinsic rates of evaporation of A and B ≠ f(comp. of the solution) i.e., the magnitudes of the A-A, B-B, and A-B bond energies in the solution are identical 6 9.2 Raoult’s Law and Henry’s Law (B) If A-B >> A-A and B-B and a solution of A in B is sufficiently dilute: A atom at the surface surrounded only by B, A in a deeper potential E well than are the A atoms at the surface of pure liq… difficult to be lifted to vapor, evaporation rate is decreased to re(A) to re’(A) 7 9.2 Raoult’s Law and Henry’s Law (9.7) re(A) > re’(A) (9.8) ’ (9.9) • A similar consideration of dilute solutions of B in A gives ’ (9.10) • (9.9),(9.10) : Henry’ law 8 9.2 Raoult’s Law and Henry’s Law Beyond a critical value of XA, re’(A) becomes composition- dependent. -
Laboratory Course in Physical Chemistry for Fundamental Studies
CHAIR OF PHYSICAL CHEMISTRY TECHNISCHE UNIVERSITÄT MÜNCHEN Laboratory Course in Physical Chemistry for Fundamental Studies Experiments Manual The reproduction of this manual is funded by the tuition grant of the Chemistry Faculty _ © 2016 Chairs of Physical Chemistry of the Technical University of Munich 10th Edition (30th March 2020). Editing, typing and printing: Michele Piana, Karin Stecher, Alexander Ogrodnik, Sonja Uhl, Matthias Stecher and Peter Kämmerer. Chair of Technical Electrochemistry and Second Chair of Physical Chemistry Alle Rechte vorbehalten. Die Vervielfältigung auch einzelner Teile, Texte oder Bilder – mit Ausnahme der in SS 53, 54 UrhG ausdrücklich genannten Sonderfälle – gestattet das Urheberrecht nur, wenn sie mit den Lehrstühlen oder dem Praktikumsleiter vorher vereinbart wurde. Table of Contents 1 Vapour-Pressure Curve and Boiling-Point Elevation ............................................................................... 1 1.1 Context and aim of the experiment ....................................................................................................... 1 1.1.1 Important concepts to know ......................................................................................................... 1 1.1.2 Most common questions to be answered .................................................................................... 1 1.1.3 Further preparations before the experiment ................................................................................. 1 1.2 Theory ................................................................................................................................................... -
The Dissolution Process Page 1 of 2 Chemistry 2E 11: Solutions And
OpenStax Chemistry 2e 11.1: The Dissolution Process Chemistry 2e 11: Solutions and Colloids 11.1: The Dissolution Process 1. How do solutions differ from compounds? From other mixtures? Solution A solution can vary in composition, while a compound cannot vary in composition. Solutions are homogeneous at the molecular level, while other mixtures are heterogeneous. 2. Which of the principal characteristics of solutions are evident in the solutions of K2Cr2O7 shown in Figure 11.2? Solution The solutions are the same throughout (the color is constant throughout), and the composition of a solution of K2Cr2O7 in water can vary. 3. When KNO3 is dissolved in water, the resulting solution is significantly colder than the water was originally. (a) Is the dissolution of KNO3 an endothermic or an exothermic process? (b) What conclusions can you draw about the intermolecular attractions involved in the process? (c) Is the resulting solution an ideal solution? Solution (a) The process is endothermic as the solution is consuming heat. (b) Attraction between the K+ and NO3 ions is stronger than between the ions and water molecules (the ion-ion interactions have a lower, more negative energy). Therefore, the dissolution process increases the energy of the molecular interactions, and it consumes the thermal energy of the solution to make up for the difference. (c) No, an ideal solution is formed with no appreciable heat release or consumption. 4. Give an example of each of the following types of solutions: (a) a gas in a liquid (b) a gas in a gas (c) a solid in a solid Solution (a) CO2 in water; (b) O2 in N2 (air); (c) bronze (solution of tin or other metals in copper) 5. -
Calculation of the Gibbs Free Energy of Solvation and Dissociation of Hcl in Water Via Monte Carlo Simulations and Continuum
PCCP View Article Online PAPER View Journal | View Issue Calculation of the Gibbs free energy of solvation and Cite this: Phys. Chem. Chem. Phys., 2013, dissociation of HCl in water via Monte Carlo 15, 13578 simulations and continuum solvation models Matthew J. McGrath,*ab I-F. Will Kuo,c Brice F. Ngouana W.,de Julius N. Ghogomu,d Christopher J. Mundy,f Aleksandr V. Marenich,b Christopher J. Cramer,b Donald G. Truhlarb and J. Ilja Siepmannbg The Gibbs free energy of solvation and dissociation of hydrogen chloride in water is calculated through a combined molecular simulation/quantum chemical approach at four temperatures between T = 300 and 450 K. The Gibbs free energy is first decomposed into the sum of two components: the Gibbs free energy of transfer of molecular HCl from the vapor to the aqueous liquid phase and the standard-state Gibbs free energy of acid dissociation of HCl in aqueous solution. The former quantity is calculated Received 24th April 2013, using Gibbs ensemble Monte Carlo simulations using either Kohn–Sham density functional theory or a Accepted 21st June 2013 molecular mechanics force field to determine the system’s potential energy. The latter Gibbs free energy DOI: 10.1039/c3cp51762d contribution is computed using a continuum solvation model utilizing either experimental reference data or micro-solvated clusters. The predicted combined solvation and dissociation Gibbs free energies www.rsc.org/pccp agree very well with available experimental data. 1 Introduction Studies of the thermophysical properties of HCl dissolution in water were performed early in the last century using electro- The interaction between hydrogen chloride and water has been chemical cells,7,8 and the structures of both dilute and concen- studied for many years due to the importance of HCl as a strong trated HCl solutions have been probed in neutron and X-ray acid (including acid dissociation in very cold nanoclusters1) 9,10 Published on 21 June 2013. -
Colligative Properties of Water
Colligative properties of water Overview of colligative properties : mole fraction : molarity, molality, % w/w and % w/v Vapor pressure lowering : CaCl2 Freezing point depression : examples : Glucose : Urea : Ethanol : NaCl : CaCl2 Boiling point elevation : Glucose Osmotic pressure Self-generation of osmotic pressure at interfaces Overview of colligative properties The colligative properties of solutions consist of freezing point depression, boiling point elevation, vapor pressure lowering and osmotic pressure.n These properties ideally depend on changes in the entropy of the solution on dissolving the solute, which is determined by the number of the solute molecules or ions but does not depend on their structure. The rationale for these colligative properties is the increase in entropy on mixing solutes with the water. This extra entropy provides extra energy available in the solution which has to be overcome when ice or water vapor (neither of which contains a non-volatile solute)l is formed. It is available to help break the bonds of the ice causing melting at a lower temperature and to reduce the entropy loss when water condenses, so encouraging the condensation and reducing the vapor pressure. Put another way, the solute stabilizes the water in the solution relative to pure water. The entropy change reduces the chemical a potential(μw) by -RTLn(xw) (that is, the negative energy term RTLn(xw) is added to the potential) b d where xw is the mole fraction of the ‘free’ water (0 < xw < 1). Note that xw may be replaced by the water activity (aw) in this expression. Dissolving a solute in liquid water thus makes the liquid water more stable whereas the ice and vapor phases remain unchanged as no solute is present in ice crystals and no non-volatile solute is present in the vapor.