Dayap National Integrated High School Chemical Thermodynamics GENERAL CHEMISTRY 2 QUARTER 4_M1 Martinez, Joven A. Special Science Teacher I Q4W1 _ Module 1 Spontaneous Change, Entropy, and Free Energy Most Essential Learning Competencies Predict the spontaneity of a process based on entropy. STEM_GC11CTIVa-b-140 Explain the second law of thermodynamics and its significance. STEM_GC11CTIVa-b-142 Use Gibbs’ free energy to determine the direction of the reaction. STEM_GC11CTIVa-b-143 Thermodynamics A branch of Physics which deals with the energy and work of a system. Thermodynamics is, in some ways, the science that most influences our daily lives, because we use its concepts and information in the ways we design and operate so many of the devices we take for granted in our daily lives. Thermodynamics CHEMISTRY Thermodynamics tells chemists whether a particular reaction is energetically possible in the direction in which it is written, and it gives the composition of the reaction system at equilibrium. It does not, however, say anything about whether an energetically feasible reaction will actually occur as written, and it tells us nothing about the reaction rate or the pathway by which it will occur (described by chemical kinetics). Chemical thermodynamics provides a bridge between the macroscopic properties of a substance and the individual properties of its constituent molecules and atoms. As you can see, thermodynamics explains why graphite can be converted to diamond; how chemical energy stored in molecules can be used to perform work; and why certain processes, such as iron rusting and organisms aging and dying, proceed spontaneously in only one direction, requiring no net input of energy to occur. Spontaneous vs Non-Spontaneous Spontaneous Non-Spontaneous Spontaneous Spontaneous Non-Spontaneous Spontaneous Non-Spontaneous Spontaneous SPONTANEOUS PROCESSES Chemical and physical processes have a natural tendency to occur in one direction under certain conditions. A spontaneous process occurs without the need for a continual input of energy from some external source, while a nonspontaneous process requires such. SPONTANEOUS PROCESSES Systems undergoing a spontaneous process may or may not experience a gain or loss of energy, but they will experience a change in the way matter and/or energy is distributed within the system. NON-SPONTANEOUS PROCESSES They cannot proceed unless there is a driving force or outside help that acts on a system. For example, a ball cannot be brought uphill unless someone pushes it. Another non-spontaneous process is the conversion of water to hydrogen gas and oxygen gas, which cannot take place unless electric current is applied on the system. Chemical processes can be spontaneous as well. These are chemical reactions that occur without any intervention in a given set of conditions. An example is spontaneous combustion, wherein a flammable substance burns by itself even without direct application of spark or flame. SPONTANEOUS COMBUSTION Spontaneous reactions such as burning of coal or gasoline go to completion even without further input of energy once triggered. Such a process is said to be irreversible. Generally, any spontaneous process is irreversible. A system is irreversible if it cannot be restored to its original state using the same path. A reaction that does occur under the given set of conditions is called a spontaneous reaction. If a reaction does not occur under specified conditions, it is said to be nonspontaneous. A waterfall runs downhill. A. Spontaneous B. Nonspontaneous A Water freezes spontaneously below 0°C. Ice melts spontaneously above 0°C (at 1 atm). Heat flows from colder object to hotter one. A. Spontaneous B. Nonspontaneous B A piece of sodium metal reacts violently with water to form sodium hydroxide and hydrogen gas. Hydrogen gas does not react with sodium hydroxide to form water and sodium. 2Na + 2H2O 2NaOH + H2 Iron exposed to water and oxygen forms rust. A. Spontaneous B. Nonspontaneous A Iron exposed to water and oxygen forms rust, but rust does not spontaneously change back to iron. HEAT OF REACTION Also known as the Enthalpy of Reaction, is the change in the enthalpy of a chemical reaction that occurs at a constant pressure. The notation ΔH° or ΔH°rxn then arises to explain the precise temperature and pressure of the heat of reaction ΔH. The standard enthalpy of reaction is symbolized by ΔH° or ΔH°rxn and can take on both positive and negative values. The units for ΔH° are kilojoules per mole, or kj/mol. ΔH° or ΔH°rxn Δ = represents the change in the enthalpy; (ΔH products – ΔH reactants) - a positive value indicates the products have greater enthalpy, or that it is an endothermic reaction (heat is required) - a negative value indicates the reactants have greater enthalpy, or that it is an exothermic reaction (heat is produced) ° = signifies that the reaction is a standard enthalpy change, and occurs at a preset pressure/temperature rxn = denotes that this change is the enthalpy of reaction wherein: vp = stoichiometric coefficient of the product from the balanced reaction vr = stoichiometric coefficient of the reactants from the balanced reaction ΔHºf = standard enthalpy of formation for the reactants or the products Example 1: The Combustion of Acetylene Calculate the enthalpy change for the combustion of acetylene (C2H2). ΔH° = -2512.4 kJ Example 2 Calculate the enthalpy of reaction for: H2(g) + O3(g) H2O(g) ΔH° = -868.1 kJ Example 3: The combustion of methane, CH4 releases 890.4 kJ/mol of heat. That is when one mole of methane is burned, 890.4 kJ are given off to the surroundings. This means that the products have 890.4 kJ less energy stored in the bonds than the reactants. Thus, ΔH for the reaction is equal to -890.4 kJ. A negative symbol for ΔH indicates an exothermic reaction. A. How much energy is given off when 2.00 mol of methane are burned? B. How much energy is released when 22.4 g of methane are burned? C. If you were to attempt to make 45.0 g of methane from carbon dioxide and water (with oxygen also being produced), how much heat would be absorbed during the reaction? Example 4 Given a simple chemical equation with the variables A, B and C representing diff. compounds. A+B C and the standard enthalpy of formation values: Example 5 NO2(g) is formed from the combination of NO(g) and O2(g) in the following reaction: High entropy or Low entropy High entropy Low entropy Low entropy High entropy High entropy Low entropy Low entropy High entropy Low entropy High entropy ENTROPY Entropy, denoted S, is a measure of the randomness or disorder of a system. This thermodynamic property is also a measure of how much energy is unavailable for conversion into work. ENTROPY The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. The second law also states that the changes in the entropy in the universe can never be negative. ENTROPY The more random or disordered a system is, the greater the entropy. Since entropy, like enthalpy, is a state function, it is independent of the path or the route taken in attaining the final state. Therefore, the change in entropy, ΔS, depends only on the entropies of the final and initial states of the system. ΔS = S final – S initial ENTROPY A positive (+) value of ΔS (ΔS > 0), indicates that the final state is more random or disordered than the initial state. A negative (-) ΔS (ΔS < 0), indicates that the final state is more ordered than the initial state. FACTORS AFFECTING ENTROPY Qualitatively, it is possible to determine whether a change in the system would result in a decrease or increase in entropy. There are several factors that influence the amount of entropy present in a system at a particular state. These factors include change in phase or physical state, change in temperature, and change in concentration or number of particles. Processes that lead to an increase in entropy of the system: A. B. C. D. Melting Vaporization Dissolving Heating ENTROPY • S, is a thermodynamic quantity. • It is used to measure how spread out or dispersed the energy of a system is. • It is used to describe if the process is spontaneous and can occur in a defined direction or nonspontaneous and will occur in the reverse direction. Predicting positive or negative entropy CHANGE IN PHASE In general, a liquid has higher entropy than the solid from which it is formed, while a gas has a higher entropy than the liquid counterpart. In changing from solid to liquid, and from liquid to gas, the arrangement of molecules become more disorderly. CHANGE IN PHASE A B C Increasing entropy from solid to liquid to gas. (A) particles are confined to fixed positions (B) particles are slightly far from each other (C) particles are very far apart CHANGE IN TEMPERATURE Raising the temperature increases the average kinetic energy of molecules. Greater translational, vibrational, and rotational motion lead to a more disorderly state. With an increase in temperature, solid particles vibrate more energetically, while liquid and gas particles move about more rapidly. Hence, increasing the temperature increases the entropy of a system. Conversely, a decrease in temperature results in lowering of entropy. NUMBER OF PARTICLES The phrase “the more, the merrier” can certainly be applied to entropy. When a lot of people are present, there will be more movement, more noise, more wastes, and definitely, greater disorder. This means greater entropy. A2 B 2A + B Which part of the reaction has the higher entropy? Sample Exercise Directions: Determine the entropy of a system for each of the folllwing processes. Positive _________1. A solid melts. Negative _________2. A liquid freezes. Negative _________3. A vapor is converted to liquid. Negative _________4. A vapor condenses to liquid. Positive _________5. A solid sublimes. Sample Exercise Directions: Determine the entropy of a system for each of the folllwing processes. Negative _________6. 2H2(g) + O2(g) 2H2O(l) Positive _________7. NH4Cl(s) Positive _________8. H2(g) + Br2(g) Positive _________9. CaCO3(g) Positive _________10. H2(g) + Cl2(g) NH3(g) + HCl(g) 2HBr(g) CaO(s) + CO2(g) 2HCl(g) Sample Exercise Directions: Predict whether the entropy increases or decreases for each of the following processes. Consider the degree of disorder, from initial to final state or from reactants to products. a. Entropy increases b. Entropy decreases c. Entropy increases d. Entropy decreases e. Entropy increases ENTROPY CHANGE DETERMINATION A numerical value for entropy can possibly be determined for any substance under a given set of conditions. Entropy change can be measured by a calorimeter, the same instrument used in determining enthalpy change. However, measurement of ΔS for reactions in the laboratory is not that easy. The change in entropy is related to the heat transferred during the process. The relationship between ΔS and the heat transferred is similar to that of ΔH and heat transferred under constant pressure. ENTROPY CHANGE DETERMINATION It is also possible to calculate entropy change for various processes that occurs under standard conditions using standard entropy values of substances. ΔS° = ΣyS°(products) - ΣzS°(reactants) Where: ° = in the symbol S° indicates standard conditions (25°C and 1 atm pressure) y = number of moles (products) z = number of moles (reactants) ENTROPY CHANGE DETERMINATION Sample Problem: Calculate the entropy change when graphite burns in sufficient supply of oxygen as shown in the following equation: Directions: Using the data of S°, calculate the standard entropy change for each of the following reactions at 25°C. For each reaction, interpret the sign and magnitude of the reaction entropy. 1. CaCO3(s) CO2(g) + CaO(s) 2. KClO3(s) KClO4(s) + KCl(s)