Mathematics and Home Insulation

Slides:



Advertisements
Similar presentations
QUICK QUIZ 22.1 (end of section 22.1)
Advertisements

Chapter 6 Thermal Energy
Reaction Energy and Reaction Kinetics
Integrated Science Unit 9, Chapter 25.
Heat, Part 2.
Mitigation. Energy efficiency, is using less energy to provide the same level of energy service.
Knight: Chapter 17 Work, Heat, & the 1st Law of Thermodynamics
Fig The net work done by the system in the process aba is –500 J.
Determining the Molar Heat of Combustion for Paraffin
Chapter 3Transmission Lines Why use high-voltage transmission lines? The best answer to that question is that high-voltage transmission lines transport.
Enthalpy of Combustion Calculations. Example Q. 4.6g of ethanol (C 2 H 5 OH) is burned. The energy released raised the temperature of 0.5kg of water by.
Calorimetry Chapter 5. Calorimetry Since we cannot know the exact enthalpy of the reactants and products, we measure  H through calorimetry, the measurement.
Chapter 22 Heat Transfer.
10 Energy Saving Advices. 1- Lowering of the temperature at night Limit the lowering of the temperature at night. If the temperature is reduced too much,
Lesson 4-7 Arithmetic Sequences.
Matter, States of Matter, Gas Laws, Phase Changes, and Thermal Energy.
Thermochemistry The study of the changes in heat energy that accompany chemical reactions and physical changes.
THERMOCHEMISTRYTHERMOCHEMISTRY Chapter 11. HEAT CAPACITY AND SPECIFIC HEAT The amount of energy needed to to increase the temperature of an object exactly.
Daily Science April 13 What is STP? Use the reaction shown below to answer the questions:  CO + NO  N 2 + CO 2 Balance the equation If 42.7 g of CO is.
Goal: To understand heat Objectives: 1)To explore internal energy 2)To learn about specific heat 3)To learn about latent heat 4)To learn about heat transfers.
Physics 1 Revision Lesson 2 Factors affecting cooling and Insulating buildings.
Determine the heat capacity (in calories/C°) of a lake containing two million gallons (approximately 8 million kilograms) of water at 15C°. Select.
Specific Heat High School P. Science.
Rate Law p You have qualitatively observed factors affecting reaction rate but… There is a mathematical relationship between reaction rate and.
Science Project Advice on how to reduce energy losses.
 1. What does the law of conservation of energy state? 2. How does the motion of molecules relate to temperature? 3. Heat is always transferred from.
© Oxford University Press 2011 IP1.9.5 Solar panels and payback time: Overview Solar panels and payback time: Overview.
Chapter 5: Thermochemistry Energy First Law of Thermodynamics Enthalpy Enthalpies of Reaction Calorimetry Hess' Law Enthalpies of Formation Fuel Value.
Unit 1: Chemistry Basics 1.52 Calorimetry Textbook ch 5.5 © 2009, Prentice-Hall, Inc.
Thermal energy. Temperature is a measure of… The total amount of energy in an object The total amount of thermal energy in an object How much heat something.
Ch15 Thermodynamics Zeroth Law of Thermodynamics If two systems are in thermal equilibrium with a third system, then they are in thermal equilibrium with.
Final Exam Review Thermodynamics Heat & Conservation of Energy Heat Transfer.
Measuring energy changes
Specific Heat and Thermal Flow. Specific Heat The heat required to raise the temperature of the unit mass of a given substance (usually one gram) by a.
Bell Work: 9/18/14  Need 2 Know  Multiple Choice/4 Corners  Constructed Response  Current Issue of Science World (September 15- Crispy Killers)  Article-
Temperature A measure of the internal energy of an object Thermometers –Used to measure temperature –Rely on thermometric propertiesthermometric properties.
Matter, States of Matter, Gas Laws, Phase Changes, and Thermal Energy.
Bell Work: 9/23/14 What is the energy transformation for a person struck by lightning?
ICP 12/11/12 Specific Heat Lab. Warmup 1)Calculate the energy required to raise 1 kg of water by 2 degrees Celsius. (Use E=cmΔT) 2)Two objects are in.
Expanding brackets Slideshow 11, Mathematics Mr Richard Sasaki, Room 307.
Chapter 5 Power 1. Power is the rate at which work is done. More generally, power is the rate of energy transferred by any method. 2.
Chapter 3.4 Notes Thermal Rates.  The amount of heat that is transferred per unit time is the heat flow rate  Equation for heat flow rate = heat / time.
Kinetic Energy Energy an object possesses when in motion. Law of Conservation of Energy – in any physical or chemical change, energy can change form,
Chemical Kinetics. A brief note on Collision Theory All matter is made up of particles: atoms, molecules and ions. Kinetics is all about how chemicals.
Section 10.2 The Flow of Energy 1.To convert between different energy units. 2.To understand the concept of heat capacity. 3.To solve problems using heat.
Mechanical Engineering Department GOVERNMENT ENGINEERING COLLEGE, DAHOD. A PPT On Derivation of LMTD for Parallel flow Heat Exchanger Prepared By:
Heat energy is measured in units called joules or calories. 1 calorie is the amount of heat energy needed to raise the temperature of 1.0 g (mL) of water.
Thermodynamics. Energy Heat Heat Transfer and Equation Q = m*C*∆T – Q = Heat – m = Mass – C = Specific Heat of material – ∆T = Change in Temperature.
Bell Work: 9/17/14  Read the article “Insulation”.  How does insulation work? Be specific and descriptive.  Compare the different materials listed in.
The Heat Engines.
Enthalpy and Calorimetry
Week A material that heats up and cools down quickly
Chapter 18 Temperature, Heat, and the First Law of Thermodynamics
Energy & Its Impact on Global Society
Chapter 2. Mathematical Expression of Conduction
Absolute Zero -the coldest possible temperature is called absolute zero -this is measured on the Kelvin scale (K); note: there are no negative temperatures.
Gas Laws CP Chemistry.
The First Law of Thermodynamics
Energy Content in Foods
Thermochemistry The study of the changes in heat energy that accompany chemical reactions and physical changes.
How to Use a Number Line Model
Matter, States of Matter, Gas Laws, Phase Changes, and Thermal Energy
Temperature Energy and Heat
Temperature Energy and Heat
Gay-Lussac’s Law Temperature-Pressure relationships
Energy in thermal systems
Example-cylindrical coordinates
Rate Law p
Consider an isothermal reversible expansion of an ideal gas
Presentation transcript:

Mathematics and Home Insulation Question If it is about 27°F outside with no wind, how much is our heat bill affected if we set the thermostat to 84°F instead of 55°F ? CHOICE A – Our heat bill is doubled CHOICE B – Our heat bill increases $200/mo CHOICE C – Our heat bill increases 50% CHOICE D – Our heat bill is tripled Can we use mathematics to justify our answer?

Answer: CHOICE A – Our heat bill is doubled. The reason we can state this is due to laws of heat transfer, and some mathematics. In the equation below, Q represents the power, i.e. the energy used per time. Raising the thermostat from 55°F to 84°F approximately doubles the temperature difference ΔT between inside and outside in degrees C. When ΔT doubles, Q doubles since K, A, and x are constant! For More Info on The Mathematics of Heat Transfer See The Mathematics of Heat Transfer

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.