Republic of the Philippines UNIVERSITY OF EASTERN PHILIPPINES University Town, Catarman, Northern Samar COLLEGE OF EDUCATION Secondary Education Department Detailed Lesson Plan in Chemistry 3B Year Level: Grade 9 Subject: Science Cooperating Teacher: (Chemistry) Prof. Rita D. Gordo 3rd Week No: 3 Date 2/6/2025 Student Teacher: Lloyd Reyniel I. Morallos Quarter: I. OBJECTIVES Content Standard Performance Standards Learning Competencies II. SUBJECT MATTER Strategy Knowledge Skills Attitude III. LEARNING RESOURCES References Students will demonstrate an understanding of the Ideal Gas Law by describing its components and applications, including how it relates to the behavior of gases under different conditions and its limitations in real-world applications. Students will accurately solve problems involving the Ideal Gas law by calculating unknown variables in various scenarios, demonstrating their understanding through written explanations and graphical representations. Explain the relationship between pressure, volume, temperature, and the number of moles in ideal gas law equation PV = nRT. Demonstrate appreciation for the practical applications of the Ideal Gas Law in real-world scenarios. Solve problems related to Ideal Gas Law by calculating unknown variables (pressure, volume, temperature, or number of moles) using appropriate mathematical techniques and units. Topic: Gas Law Sub-topic: Ideal Gas Law Cooperative Learning, Lesson Objective, Laboratory Experiment, Class Discussion, and Powerpoint Presentation Familiarize with the content of the unit by answering the evaluation Relate prior knowledge to the concepts to be learned in the lesson. Exhibit intellectual honesty and responsibility in answering the summative-assessment www.byjus.com www.vedantu.com www.youtube.com You and the Natural World: Chemistry Materials IV. PROCEDURES A. Preparatory Activities Laptop Marker Chalk Smart TV STUDENT’S ACTIVITY • Prayer “Before we start our class, please stand “In the Name of the Father of the Son and of the Holy up for a prayer.?” Spirit. Amen. “ Greetings “A wonderful day, everyone. Good morning!” “Good Morning, Sir.” “How’s your day today?” “That’s great to hear.” “It’s good, Sir.” “Are you ready for this day’s new acquirement of learnings?” “Yes, we are!” “Very Good!” • Checking of Attendance “For your attendance, I want everyone to get ¼ sheet of paper, write your name, grade and section and date today. Review “Now that you ¼ is ready, I want you to answer the following questions. 1. Give the formula for the Dalton’s Law 2. Give one (1) example of real-life application of Dalton’s Law. Setting of Class Policy “Before we proceed to our next topic, let’s have first a recap.” “Let me tell you our class policy before we begin our proper discussion.” Respect everyone inside the classroom. When someone is speaking, stay silent and just listen. If there’s something to say, raise hand. Participate with the activities that are going to be made. 1. PTOTAL = P1 + P2 + P3 + …….. Pn 2. Scuba Diving, Medical Oxygen Therapy, Air Travel Obey all the policies given. “Can I expect that from you?” Absolutely Sir! “Alright. Thank you!” Collecting of Assignment “Did you have an assignment last Yes, Sir meeting?” “Kindly, pass it in front.” Here is our Assignment sir “Thank you!” B. Motivational Activity Before we proceed to our discussionproper, we will have a game. Are you excited? Yes, sir! This game is called “Ideal Gas Quest” This game is a Crossword Puzzleconcept. You just have to fill out the boxes from bottom and across questions. Are you ready? We are ready sir! Questions Across: Across: 1. The unit of pressure often used 1. Atm in gas law 2. Charles 2. Law stating that at constant 3. R pressure, the volume of a gas is 4. N directly proportional to its absolute temperature. Down: 3. The universal gas constant 1. Boyle represented by “R” 2. Kelvin 4. The term for the amount of 3. Avogadro substance measured in moles. 4. T Down: 1. The law that describes the relationship between pressure and volume at constant temperature. 2. The temperature scale starting at absolute zero, used in gas law calculations. 3. The law stating that the volume of gas is directly proportional to the number of moles at a Answers: constant temperature and pressure. 4. The variable representing temperature in the Ideal Gas Law. Did you have fun on our activity? Yes sir! We enjoyed it very much! These terminologies are the manifestation of you learning our previous topics about gas law. C. Activity Activity: Egg in a Bottle “For our activity, we will be doing an experiment which will pretty much relate to our topic which we will dive in later on. The objective of this activity is to determine the relationship among Crystal clear sir! temperature, pressure, and volume of gases at constant number of moles. Understood? I want you to prepare the following materials: Hard-boiled egg A glass bottle with a mouth just slightly smaller than the egg Paper Match I have here papers with the instructions Instructions: included. Please read the instructions 1. Remove the shell from the egg. Set the egg in accordingly! the mouth of the bottle to see that the egg does not fit through the mouth. 2. Fold the piece of paper into a strip that can be dropped into the bottle. 3. Light the match and use it to ignite the folded strip of paper. Remove the egg from the mouth of the bottle and drop the burning strip of paper into the bottle. Before the fire goes out, set the egg back onto the mouth of the bottle. Observe what happens. That was very fascinating. Was it fun everyone? Did you enjoy our activity? It was super fun sir! It really made me learn something D. Analysis Now that we are done with the activity. Please answer the question based on what you have observed. Questions: Answer: 1. Why does the egg slide into the 1. It is being pushed by the surrounding air bottle, even though no one is pressure as a result of changes in temperature pushing it? and volume of air inside the bottle. Isn’t it fascinating? The gas law really gives us surprises. Yes sir! We didn’t expect that to happen. It is like magic in disguise. E. Abstraction We are now done with the experiment. Let us now dive into our discussion proper. Are you still with me? Yes sir! Kindly read our objectives for today’s lesson At the end of this lesson, the learners are expected to: Explain the relationship between pressure, volume, temperature, and the number of moles in ideal gas law equation PV = nRT. Demonstrate appreciation for the practical applications of the Ideal Gas Law in real-world scenarios. Solve problems related to Ideal Gas Law by calculating unknown variables (pressure, volume, temperature, or number of moles) using appropriate mathematical techniques and units We have now past the different gas laws and today, we will be studying the Ideal Gas Law. What is the difference of Ideal Gas law Ideal Gas law is a combination of Boyle’s, Charles’, to other gas laws? and Gay-Lussac’s Laws. That is correct. But what is it fundamental principles? Its variables? We don’t know yet sir Let us find out shall we? Absolutely sir! The Ideal Gas Law is a fundamental equation in chemistry and physics that describes the behavior of ideal gases. It is expressed as PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles, R is the universal gas constant, and T is the absolute temperature in Kelvin. This law combines several empirical gas laws and provides a comprehensive framework for understanding gas behavior under various conditions. Now class, what is the mathematical expression / formula for Ideal Gas Law? PV = nRT Very good! And what are those variables behind the Ideal Gas Law? ● ● ● ● Pressure (P): The force exerted by gas particles colliding with the walls of their container. Volume (V): The space occupied by the gas. Number of Moles (n): A measure of the amount of substance in terms of particles. Gas Constant (R): A proportionality constant that relates energy to temperature in gas equations. (0.0821 L.atm/mol.K) The Ideal Gas Law serves as an approximation for many gases under low pressures and high temperatures, where gas molecules behave independently. However, it has limitations and may not accurately predict behavior under extreme conditions. Due to this so-called limitations, we can derive the formula so that we can solve according to what is required. Class, what are the different derivations 1. Pressure (P): of formulas under Ideal Gas law? P = nRT / V 2. Volume (V): V = nRT / P 3. Number of Moles (n): n = PV / RT 4. Temperature (T): T = PV / nR Now let us try solving different problems Yes Sir! under Ideal Gas Law. Are you ready? Sample Problems Finding Pressure (P) Answers: 1. Given: V = 20 L, n = 1 mol, T = 300 K Problem 1: A gas occupies a volume of Required: P 20 L, has 1 mole of gas, and is at a Equation: P = nRT / V temperature of 300 K. Find the pressure. Substitute: P = (1)(0.0821)(300) / 20 Answer: P = 24.63 / 20 = 1.2315 atm Problem 2: A gas has a pressure of 3 atm, contains 2 moles, and is at a temperature of 350 K. What is the volume? 2. Given: P = 3 atm, n = 2 mol, T = 350 K Required: V Equation: V = nRT / P Substitute: V = (2)(0.0821)(350) / 3 Answer: V = 57.485 / 3 = 19.16167 L Problem 3: A gas is contained in a volume of 15 L at a pressure of 4 atm and a temperature of 300 K. Calculate the number of moles. 3. Given: V = 15 L, P = 4 atm, T = 300 K Required: n Equation: n = PV / RT Substitute: n = (4)(15) / (0.0821)(300) Answer: n ≈ 60 / 24.63 ≈ 2.44 mol Problem 4: A gas occupies a volume of 4. 25 L at a pressure of 2 atm with an Given: V = 25 L, P = 2 atm, n ≈3 mol unknown number of moles which is Required: T determined to be around three moles Equation: T = PV / nR after calculation. Substitute: T ≈ (2)(25) / (3)(0.0821) Answer ≈ T ≈50/0.2463 ≈203 K Are you now confident in solving problems using different equations of Ideal Gas Law? Yes, sir! I think we can do it! What do you think is the easiest method GRESA sir to solve problems? How do you say so? Because it simply places up every variables in order. Very good! F. Application I will be showing you a picture of real-Yes, Sir! world application of the Ideal Gas Law. I will be asking question/s about it. It that clear? Question: How does the Ideal Gas Law help us The Ideal Gas Law helps us understand thunderstorms understand thunderstorms? Describe by showing how temperature and pressure in the air how changes in temperature andare related. When warm air rises, it expands and cools, pressure in the air can lead to thewhich can lower the air pressure. As the air cools, it formation of a thunderstorm. can hold less moisture, causing water vapor to condense into clouds. If enough warm, moist air rises quickly, it can lead to the development of a thunderstorm. By studying these changes in temperature and pressure, meteorologists can predict when thunderstorms are likely to happen. We can notice that it reflects upon theAbsolutely, Sir! changes in the variable which affected the whole process. Did you understand it now? G. Evaluation Class, please get a 1 whole sheet of paper. Our evaluation is composed of three (4) problem solving questions about Ideal Gas Law. Answers: 1. A container holds 5 moles of gas 1. at a temperature of 250 K and a Given: n = 5 mol, T = 250 K, V = 10 L volume of 10 L. Determine the Required: P pressure. Equation: P = nRT / V 2. A gas at a pressure of 2.5 atm Substitute: P = (5)(0.0821)(250) / 10 contains 0.5 moles and is at a Answer: P = 102.625 / 10 = 10.2625 atm temperature of 400 K. Find the volume. 2. 3. A container holds gas at a Given: P = 2.5 atm, n = 0.5 mol, T = 400 K pressure of 5 atm, volume of 10 Required: V L, and temperature of 500 K. Equation: V = nRT / P Find the number of moles. Substitute: V = (0.5)(0.0821)(400) / 2.5 4. A gas has a pressure of 4 atm in Answer: V = 16.84 / 2.5 = 6.736 L a volume of30 L and contains an unknown number of moles which 3. is determined to be around two Given: P = 5 atm, V = 10 L, T = 500 K moles after calculation. Required: n Equation: n = PV / RT Substitute: n = (5)(10) / (0.0821)(500) Answer: n ≈ 50 / 41.05 ≈ 1.22 mol 4. Given P=4 atm, V=30 L, n≈2 mol Required T Equation T=PV/nR Substitute T=(4)(30)/(2)(0.0821) Answer T≈120/0.1642≈730 K H. Assignment For your Assignment, answer the Ideal Gas Law problem. Write it in a ½ sheet of paper. Question: 1. A balloon has a volume of 5.0 liters and contains helium gas at a pressure of 1.2 atm. If the temperature of the gas is 25°C, how many moles of helium are in the balloon? Use the ideal gas constant R=0.0821 L·atm/mol·K I hope you have learned a lot today. Thank you all for listening. Good bye Class! “Good bye and thank you, Sir! Thank you for teaching us today! Prepared By: MORALLOS, LLOYD REYNIEL I. Student Teacher Noted By: PROF. RITA D. GORDO Cooperating Teacher