Republic of the Philippines Department of Education Region III-Central Luzon Schools Division Office of Pampanga BETIS NATIONAL HIGH SCHOOL GUAGUA, PAMPANGA School DETAILED LESSON PLAN Teacher Teaching Date and Time Betis National High School Grade Level 10 Chienee Besinio Causo Learning Area Science May 26, 2022 8:10-9:10 AM Quarter Fourth (4th) I. OBJECTIVES A. Content Standard B. Performance Standards C. Learning Competencies & Code The learners demonstrate an understanding of… how gases behave based on the motion and relative distances between gas particles The learners shall be able to demonstrate understanding of the gas laws. The learners should be able to investigate the relationship between: 1. volume and pressure at constant temperature of a gas S9MT-IIJ-20 Properties of Gas – Boyle’s Law II. CONTENT III. LEARNING RESOURCES A. References 1. Teaching Guide 2. Leaners’ Material/ Textbook 3. Additional Materials from LR portal B. Other Learning Resources IV. PROCEDURES A. Reviewing previous lesson or presenting the new lesson B. Establishing a purpose for the lesson Science and Technology (Teacher’s Guide) 10 Abiva Book pages 104 - 106 Authors: Gerona Nueva Espana - Sinugbuan - Lansangan - Calamlam Exploring Life through Science Series 10 (Laboratory Manual) pages 18-19 Authors: Josefina Ma. Pavico et. al ID: 15501 https://owlcation.com/ https://sciencenotes.org/boyles-law-example-calculation/ ELICIT: Students will be having an activity entitled: “The Magic Marshmallow Experiment” Guided questions: What happen to the size of the marshmallow as the plunger being press and released repeatedly? How do you describe the volume of the marshmallows inside the syringe as the pressure increases? How do you describe the volume of the marshmallows inside the syringe as the pressure decreases? ENGAGE: C. Presenting examples/ instances of the new lesson (The teacher will show the picture of Robert Boyle) The teacher will ask any of Robert Boyle’s contribution in Science especially in Chemistry. The teacher will show and discuss some of Robert Boyle's contribution in the field of Science especially in Chemistry that we’re using in our daily lives. EXPLORE: D. Discussing new concepts and practicing new skills #1 E. Discussing new concepts and practicing new skills #2 What is boyle’s law? Boyle’s law is a gas law which states that the pressure exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied by it. In other words, the pressure and volume of a gas are inversely proportional to each other as long as the temperature and the quantity of gas are kept constant. Boyle’s law was put forward by the Anglo-Irish chemist Robert Boyle in the year 1662. For a gas, the relationship between volume and pressure (at constant mass and temperature) can be expressed mathematically as follows. P ∝ (1/V) Where P is the pressure exerted by the gas and V is the volume occupied by it. This proportionality can be converted into an equation by adding a constant, k. P = k*(1/V) ⇒ PV = k The pressure v/s volume curve for a fixed amount of gas kept at constant temperature Formula and Derivation As per Boyle’s law, any change in the volume occupied by a gas (at constant quantity and temperature) will result in a change in the pressure exerted by it. In other words, the product of the initial pressure and the initial volume of a gas is equal to the product of its final pressure and final volume (at constant temperature and number of moles). This law can be expressed mathematically as follows: F. Developing mastery (leads to Formative Assessment) P1V1 = P2V2 Where, P1 - is the initial pressure exerted by the gas V1 - is the initial volume occupied by the gas P2 - is the final pressure exerted by the gas V2 - is the final volume occupied by the gas EXPLAIN: The teacher will discuss that Boyle’s Law states that relationship between volume and pressure of a gas is inversely proportional which means if the Volume of a gas DECREASES; the Pressure of the gas will INCREASE, and vice versa as long as the temperature does not change. In mathematical equation form, this can be represented as: P1V1 = P2V2 Example: A sample of nitrogen gas (N2) has a volume of 12.0 L and a pressure of 760.0 mm Hg. When the gas is released, it gives 32.0 L of nitrogen. If the temperature is the same, what is the new pressure of nitrogen? Given P1 = 760.0 mm Hg V2 = 32.0 L V1 = 12.0 L P2 = ? Derived the equation for P2 using Boyle’s law (P1V1 = P2V2) P2 = P1V1 V2 Solution P2 = 760.00 mm Hg x 12.0 L 32.0 L = 285 mm Hg Another problem: A gas tank holds 20.0 L of oxygen (O2) at a pressure of 15.0 atm. How many liters will gas occupy if the pressure is changed to 0.800 atm at constant temperature? Given P1 = 15.0 atm P2 = 0.800 atm V1 = 20.0 L V2 =? Derived the equation for V2 using Boyle’s law (P1V1 = P2V2) V2 = P1V1 P2 Solution atm x 20.0 L V2 = 15.0 0.800 atm = 375 L ELABORATE: G. Finding practical applications of concepts and skills in daily living Where can we apply Boyle’s Law in real life situation? Boyle’s Law can be applied in real life situation like drinking soda in a can. When you shake a soda in a can before opening it, you will notice that its volume will decrease for it will spill due to the increase in pressure. When we inhale, the diaphragm moves downward and ribs up and out, increasing the volume of the chest cavity and thus decreasing the pressure. When we exhale the diaphragm moves upward and the ribs down and in, decreasing the volume of the chest cavity and thus increasing the pressure. “Love everything about life. The downs make the ups happier” (Romans 8:18) In life, like the principle behind Boyle’s Law. Even though we experience inversely proportional circumstances, even if the problem increases and the self-esteem decreases. We have to be strong and never give up. Because at the end of the day God will make something greater than what you’ve expected. SUMMARY of THE LESSON: H. Making generalizations and abstractions about the lesson The proponent of Boyle’s Law is Robert Boyle. The properties of gas involved in Boyle’s Law are pressure and volume The relationship of volume and pressure is inversely proportional The basic equation in Boyle’s Law: P1V1=P2V2 Boyle’s Law states that, “As pressure increases, volume decreases at constant temperature and vice versa.’’ Volume of a gas is inversely proportional to its pressure, when the temperature and amount of gas are constant. I. EVALUATE: Use Boyle’s Law to solve the following problems. Evaluating learning 1. 352mL of chlorine under a pressure of 680 mmHg are placed into a container under a pressure of 1210 mmHg.. What is the volume of the container? J. Additional activities for application or remediation 2. A balloon with a volume of 2.0 L is filled with a gas at 3 atmospheres. If the pressure is reduced to 0.5 atmospheres without a change in temperature, what would be the volume of the balloon. EXTEND: For this problem the Initial Volume is V1 = 7.2L. We are asked to find the Initial Pressure (P1). The Final Pressure is P2 = 2.00atm and the Final Volume is V2 = 25.1L. Prepared by: CHIENEE B. CAUSO Subject Teacher Checked by: NIDA AGUAS Head Teacher II Noted by: ELOISA C. LUSUNG Principal III