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- The change in temperature required ΔT - i.e. the larger the change in temperature the more energy is needed
- The mass of the object m - i.e. the greater the mass the more energy is needed
- The specific heat capacity c of the given substance - i.e. the higher the specific heat capacity the more energy is needed
- The equation for the thermal energy transferred, Q , is then given by:
- m = mass of the substance in kilograms (kg)
- ΔT = change in temperature in kelvin (K) or degrees Celsius (°C)
- c = specific heat capacity of the substance (J kg –1 K –1 )
- The specific heat capacity of a substance is defined as:
The amount of energy required to change the temperature of 1 kg of a substance by 1 K (or 1°C)
- This definition can be explained when the above equation is rearranged for c :
- Note that the specific heat capacity is measured in J kg –1 K –1
Worked Example
A 2 kg piece of copper is kept inside a freezer at a temperature of –10°C. The copper is taken out of the freezer and placed into 5 litres of water at 20°C. A thermometer is placed into the water. After some time, the thermometer indicates that the water has cooled to 18°C.Determine the temperature of the copper at this time. Give your answer in degrees Celsius (°C).
- The specific heat capacity of water is 4200 J kg –1 K –1
- The specific heat capacity of copper is 390 J kg –1 K –1
Step 1: Write down the known quantities
- Mass of copper = 2 kg
- Mass of water = 5 L = 5 kg
- Initial temperature of copper = –10°C
- Initial temperature of water = 20°C
- Final temperature of water = 18°C
- Change in temperature of water = 18°C – 20°C = –2°C
- Specific heat capacity of water = 4200 J kg –1 K –1
- Specific heat capacity of copper = 390 J kg –1 K –1
Step 2: Write down the equation for thermal energy
Step 3: Determine the energy transferred from the water to the copper
- The water is at a higher temperature than copper, hence thermal energy will flow from the water to the copper
- To quantify this energy, substitute numbers into the above equation
- In this case, the mass m is that of the water
- The specific heat capacity is that of water
- Since this is the energy lost by the water, it will be negative
Q = 5 kg × 4200 J kg –1 K –1 × (–2°C) = – 42000 J
Step 3: Determine the change in temperature ΔT of the copper
- The energy lost by the water is the same as the energy gained by the copper
- Since this is the energy gained by the copper, it is positive
- The equation for thermal energy can be rearranged to calculate the change in temperature ΔT of the copper
- In this case, the mass m is that of the copper
- The specific heat capacity is that of copper
Step 4: Determine the final temperature of the copper
- Since the copper gains thermal energy, its final temperature will be higher than its initial temperature
final temperature of copper = ΔT + initial temperature of copper = 54°C – 10°C
final temperature of copper = 44°C
You should notice that changes in temperature Δ T can usually be written in degrees Celsius (although this is not the SI base unit for temperature) and do not need to be converted into kelvin (K). This is because differences in absolute temperatures always correspond to differences in Celsius temperature.If the question asks to determine the initial or final temperature of a substance, make sure you always check the unit of measure (°C or K) in which you are required to give your final answer.
Author: Ashika
Quick links.
Specific Heat Capacity Experiment
The specific heat capacity of a substance is the amount of energy needed to increase the temperature of 1 kg of that substance by 1°C.
Increasing internal energy of the body
- The heater increases the internal energy of the body and we measure this using a joulemeter.
Measuring the body's temperature
- Measure the temperature of the body (object) at the start and measure the maximum temperature of the body at the end.
Calculating specific heat capacity
- Specific heat capacity = c h a n g e i n i n t e r n a l e n e r g y m a s s ( k g ) × m a x i m u m t e m p e r a t u r e r i s e ( o C ) \frac{change \;in\; internal\; energy}{mass \;(kg)\; {\times}\; maximum \;temperature\; rise\; (^oC)} ma ss ( k g ) × ma x im u m t e m p er a t u re r i se ( o C ) c han g e in in t er na l e n er g y
1.1 Energy Changes
1.1.1 Energy Stores
1.1.2 Energy Storing
1.1.3 Internal Energy
1.1.4 Kinetic Energy Storage
1.1.5 Gravitational Potential Energy Storage
1.1.6 Elastic Potential Energy Storage
1.1.7 Calculating Changes in Energy
1.1.8 Changes in Kinetic Energy - Calculations
1.1.9 Changes in GPE - Calculations
1.1.10 Changes in EPE - Calculations
1.1.11 Energy Transfers
1.1.12 Energy Transfer Examples
1.1.13 Mechanical Work Done
1.1.14 Mechanical Work Done Equation
1.1.15 Mechanical Work - Calculations
1.1.16 Electrical Work Done
1.1.17 Power
1.1.18 Electrical Work Done- Calculations
1.2 Energy Losses & Efficiency
1.2.1 Energy Wastage
1.2.2 Efficiency
1.2.3 Reducing Energy Loss
1.2.4 Power & Energy Transfer
1.2.5 Efficiency - Calculations
1.2.6 Grade 9 - Energy & Efficiency
1.3 Energy Resources
1.3.1 Energy Resources
1.3.2 Fossil Fuels
1.3.3 Geothermal Energy
1.3.4 Wind Energy
1.3.5 Water Energy
1.3.6 Tidal Energy
1.3.7 Nuclear Energy
1.3.8 Solar Energy
1.3.9 Original Source of Energy
1.3.10 Non-Renewable and Renewable Resources
1.3.11 Uses of Energy Sources
1.3.12 Changing Electricity Use
1.3.13 Renewable Energy
1.3.14 End of Topic Test - Energy
1.3.15 Exam-Style Questions - Energy
2 Electricity
2.1 Electric Charge
2.1.1 Circuit Diagrams
2.1.2 Circuit Symbols
2.1.3 Current
2.1.4 Current Equation
2.1.5 Current - Calculations
2.1.6 Conductors
2.1.7 Potential Difference
2.1.8 Voltage Equation
2.1.9 Measurements in Circuit
2.1.10 Voltage - Calculations
2.2 Resistance & Electrical Work
2.2.1 Resistance
2.2.2 Resistance Graph
2.2.3 Diodes
2.2.4 LDRs and Thermistors
2.2.5 Electrical Work
2.2.6 Power
2.2.7 Ohm's Law
2.2.8 Resistance and Ohms Law - Calculations
2.2.9 Electrical Work - Calculations
2.3 Electric Circuits
2.3.1 Series Circuits
2.3.2 Resistors
2.3.3 Cells
2.3.4 Potential Difference
2.3.5 Series Circuits - Calculations
2.3.6 Parallel Circuits
2.3.7 Parallel Current
2.3.8 Parallel Resistance
2.3.9 Lights in Parallel
2.3.10 Parallel Circuits - Calculations
2.3.11 Grade 9 - Circuits
2.3.12 Exam-Style Questions - Electricity
2.4 Electricity in Homes
2.4.1 AC/DC
2.4.2 Mains Electricity
2.4.3 Power Ratings
2.4.4 National Grid
2.4.5 Domestic Uses - Calculations
2.4.6 Fuses & Circuit Breakers
2.4.7 Earthing
2.4.8 Dangers of the Live Wire
2.4.9 End of Topic Test - Electricity
2.5 Static Electricity
2.5.1 Electrical Charge
2.5.2 Charging an Object
2.5.3 Charged Objects
2.5.4 Static Electricity
2.5.5 Electric Fields
3 Particle Model of Matter
3.1 States of Matter
3.1.1 Atomic Model
3.1.2 Atomic Structure
3.1.3 Sub-Atomic Particles
3.1.4 Models of the Atom
3.1.5 Alpha Particles
3.1.6 Electron Arrangements
3.1.7 Density
3.1.8 Density Equation
3.1.9 Density and the Particle Model
3.1.10 Density - Calculations
3.1.11 Changes of State
3.1.12 Exam-Style Questions - Density
3.2.1 Internal Energy
3.2.2 Change in Thermal Energy
3.2.3 Specific Heat Capacity Experiment
3.2.4 Equation for Heat Capacity
3.2.5 Leslie's Cube
3.2.6 Internal Energy - Calculations
3.2.7 Melting and Boiling
3.2.8 Latent Heat
3.2.9 Energy Change for Change of State
3.2.10 Latent Heat - Calculations
3.2.11 Latent Heat Experiments
3.3 Particle Motion in Gases
3.3.1 States of Matter
3.3.2 Properties of Gases
3.3.3 Temperature Increase in a Gas
3.3.4 Work Done on a Gas
3.3.5 End of Topic Test - Particle Model of Matter
3.3.6 Grade 9 - Particle Model of Matter
3.3.7 Exam-Style Questions - Specific Heat Capacity
4 Atoms & Radiation
4.1.1 Atomic Model
4.1.2 Structure of an Atom
4.1.3 Sub-Atomic Particles
4.1.4 Alpha Particles
4.1.5 The Model of the Atom
4.1.6 Electron Arrangements
4.1.7 Proton and Nucleon
4.1.8 Atoms and Ions
4.1.9 Isotopes
4.1.10 Carbon Nuclides
4.1.11 Exam-Style Questions - Atomic Structure
4.2 Radiation
4.2.1 Radioactivity
4.2.2 Types of Radiation
4.2.3 Detection
4.2.4 Background Radiation
4.2.5 Types of Radioactive Emission
4.2.6 Ionising vs Penetration
4.2.7 Practical Applications of Radiation
4.2.8 Nuclear Fission
4.2.9 Nuclear Fusion
4.2.10 Radioactive Decay
4.2.11 Radioactive Decay Equations
4.2.12 Fission & Fusion Equations
4.2.13 Radio. decay equations - Calculations
4.2.14 Half Lives
4.2.15 Measuring Half Lives
4.2.16 Ionising Radiation
4.2.17 Half Life -Calculations
4.2.18 Safety Precautions
4.2.19 Uses for Isotopes With Different Half-lives
4.2.20 Radioactive Contamination and Irradiation
4.2.21 Peer Review
4.2.22 End of Topic Test - Atoms & Radiation
4.2.23 Grade 9 - Radiation
4.2.24 Exam-Style Questions - Radioactive Decay
5.1 Basics of Motion
5.1.1 Velocity
5.1.2 Average Speed
5.1.3 Adding Vectors
5.1.4 Acceleration
5.1.5 Distance vs Displacement
5.1.6 Contact and Non-Contact Forces
5.1.7 Distance-Time Graphs
5.1.8 Speed-Time Graphs
5.1.9 Average Speed - Calculations
5.1.10 Acceleration - Calculations
5.1.11 Uniform Acceleration - Calculations
5.1.12 Grade 9 - Motion
5.1.13 Exam-Style Questions - Motion
5.2.1 Mass and Inertia
5.2.2 Weight
5.2.3 Centre of Mass
5.2.4 Gravity - Calculations
5.2.5 Resultant Forces
5.2.6 Newton's First Law
5.2.7 Newton's Third Law
5.2.8 Newton Second Law - Calculations
5.2.9 Free Body Force Diagrams
5.2.10 Components of Forces
5.2.11 Free Body Diagrams - Calculations
5.2.12 Stretching a Spring
5.2.13 Hooke's Law and Equation
5.2.14 Spring Experiment
5.2.15 Hooke's Law - Calculations
5.2.16 Elastic Potential Energy
5.2.17 Elastic Potential - Calculations
5.2.18 Exam-Style Questions - Elastic Potential Energy
5.3 Effects of Forces
5.3.1 Acceleration
5.3.2 Air Resistance and Friction
5.3.3 Graphing Acceleration
5.3.4 Momentum
5.3.5 Momentum: Law of Conservation
5.3.6 Force and Momentum Change
5.3.7 Change in Momentum - Calculations
5.3.8 Momentum - Calculations
5.3.9 Moments
5.3.10 Equilibrium
5.3.11 Moments - Calculations
5.3.12 Circular Motion
5.3.13 Levers & Gears
5.3.14 Stopping Distance
5.3.15 Factors Affecting Stopping Distance
5.3.16 Decelerations
5.3.17 Stopping Distance - Calculations
5.4 Pressure
5.4.1 Pressure & Force on Container
5.4.2 Atmospheric Pressure
5.4.3 Liquid Pressure
5.4.4 Pressure - Calculations
5.4.5 Liquid Pressure - Calculations
5.4.6 Upthrust
5.4.7 Pressure Difference
5.4.8 End of Topic Test - Forces
5.4.9 Exam-Style Questions - Pressure
6.1 Wave Basics
6.1.1 Wave Basics
6.1.2 Wave Speed Formula
6.1.3 Wave Speed Equation
6.1.4 Wave Speed - Calculations
6.1.5 Wave Frequency Formula
6.1.6 Wavelength and Amplitude
6.1.7 Wave Frequency - Calculations
6.1.8 Transverse Waves
6.1.9 Longitudinal Wave
6.1.10 Required Practical - Ripple Tank
6.2 Waves at a Boundary
6.2.1 Waves at a Boundary
6.2.2 Reflection of Light
6.2.3 Refraction of Light
6.2.4 Internal Reflection
6.3 Sound Waves
6.3.1 Sound Waves
6.3.2 Sound Waves and our Ears
6.3.3 Speed of Sound
6.3.4 Speed of Sound Experiment
6.3.5 Sound as a Wave
6.3.6 Uses of Sound Waves: Ultrasound Waves
6.3.7 Uses of Sound Waves: Earthquakes
6.3.8 Sound Waves - Calculations
6.3.9 End of Topic Test - Introduction to Waves
6.3.10 Exam-Style Questions - Wave Speed
6.4 Electromagnetic Waves
6.4.1 Properties
6.4.2 Gamma Rays
6.4.3 X-Rays
6.4.4 UV Light
6.4.5 Infrared Radiation
6.4.6 Microwaves
6.4.7 Radio Waves
6.4.8 Properties 2
6.4.9 Visible Light
6.4.10 Specular and Diffuse Reflection
6.4.11 Colours
6.4.12 Grade 9 - Waves
6.5.1 Lenses
6.5.2 Convex Lens
6.5.3 Concave Lens
6.5.4 Lenses - Calculations
6.5.5 Images
6.5.6 Ray Diagrams
6.6 Heat & Radiation
6.6.1 Infrared Radiation
6.6.2 Radiation & Surface Colour
6.6.3 Surface Area & Temperature
6.6.4 Temperature
6.6.5 Greenhouse Effect
6.6.6 Energy Balance of the Earth
6.6.7 End of Topic Test - EM Waves, Lenses & Heat
6.6.8 Exam-Style Questions - EM Radiation
7 Magnetism
7.1 Magnetism Basics
7.1.1 Magnetism
7.1.2 Magnetic Materials
7.1.3 Induced Magnetism
7.1.4 Magnetic Fields
7.1.5 Magnetic Field Patterns
7.2 Electromagnetism
7.2.1 The Magnetic Effect of a Current
7.2.2 Solenoid Field
7.2.3 Magnetic Field Strength
7.2.4 Uses of Electromagnets
7.2.5 Motor Effect
7.2.6 Magnetic Flux Equation
7.2.7 Magnetic Flux - Calculations
7.2.8 Electric Motors
7.2.9 Force Acting on a Coil in a Magnetic Field
7.2.10 Induced Potential Difference
7.2.11 Magnetic Field Direction
7.2.12 Forces Between Electricity and Magnets
7.2.13 AC/DC
7.2.14 Generator Effect
7.3 Transformers
7.3.1 Transformers
7.3.2 Transformer Equation
7.3.3 Step-Up and Step-Down Transformers
7.3.4 Principles of Transformer Operation
7.3.5 High-Voltage Transmission and Transformers
7.3.6 Energy in Transformers
7.3.7 Power Losses in Cables
7.3.8 Transformers - Calculations
7.3.9 Transformers 2 - Calculations
7.3.10 End of Topic Test - Magnetism
7.3.11 Grade 9 - Transformers
7.3.12 Exam-Style Questions - Magnetic Fields
8 Astrophysics
8.1 Astrophysics
8.1.1 The Solar System
8.1.2 The Sun
8.1.3 The Solar System - Calculations
8.1.4 Orbits
8.1.5 Stable Orbits
8.1.6 Orbits HyperLearning
8.1.7 Life Cycle of a Star
8.1.8 Creation of Elements
8.1.9 Red-shift
8.1.10 The Big Bang Theory
8.1.11 Gaps in Knowledge
8.1.12 End of Topic Test - Astrophysics
8.1.13 Exam-Style Questions - Astrophysics
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Change in Thermal Energy
Equation for Heat Capacity
Educating Physics
Determining Specific Heat Capacity Through Experiment
Objectives:
- To understand how to practically determine the specific heat capacity of a substance
Introduction
A practical for specific heat capacity involves measuring the temperature changes of different materials when they are heated . An investigation involves linking the decrease of one store of one energy store to the increase in thermal energy store. As you would expect, the energy transferrer (work done) will cause a temperature to rise.
As you will have learned on the specific heat capacity page, the temperature rise of a material depends on its specific heat capacity. Materials with a low specific heat capacity (a low capacity to store thermal energy) will have a greater temperature increase than those with a high specific heat capacity.
Apparatus required
- Aluminium block with two holes, one for a thermometer and one for a heater
- 50 W, 12 V heater
- Thermometer
- Beaker (250 cm 3 )
Safety precautions
- The heating element will get very hot, especially if not inside a metal block. Take care not to burn yourself
- Damaged equipment should not be used (e.g. bare wires etc.)
- If you scald yourself with the heater or water then, cool under running cold water immediately for 10 minutes.
- Measure the mass of the aluminium block using the balance, if recorded in grams, this should be converted into kilograms.
- Place the heater and thermometer into the aluminium block
- Measure the starting temperature of the metal block (you may need to wait for the thermometer to stop changing first).
- Turn the power pack on and up to about 5V, this can be higher for certain heaters (but it will say the maximum on it)
- Record the ammeter and voltmeter readings every 60 seconds in a table like that shown further down this page. These values may vary during the experiment, but they shouldn’t do significantly. Whilst recording the ammeter and voltmeter reading, also record the new temperature of the block at each 60s interval.
- After about 10 minutes turn off the power supply.
- Keep the thermometer in the metal block for a while longer. Record the maximum temperature of the block. The heater will still have some energy after you have turned off the power supply so you want to record any additional temperature rise from this energy.
Examples of results tables you should consider using:
Things to consider before experimenting
- The heating element should fit very snuggly into the metal block, but there may be a small layer of air between the heating element and the metal block. Add a drop of water before you put the heating element in to improve transfer of energy between the heating element and the metal block.
- Remember to measure the mass of the metal block. These blocks are usually 1kg, but to make sure your calculations are accurate, you should take an accurate mass measurement.
- Make sure you heat the metal block for at least 10 minutes; otherwise you will not be able to draw a graph with a good range of results.
- Don’t forget to use your graph to find the gradient of the line. You will need this and the mass of the block to work out the specific het capacity of the metal.
Analysing the results
After drawing you line of best and taking your gradient the specific heat capacity can be found by using the following equation:
Exemplar graph and results:
****waiting for a good graph to be drawn from a student ****
- Usually, the value for specific heat capacity found is higher than it should be, this is because more energy is put into the system than that used to heat up the substance. Some energy goes into wasted energy, such as heat loss to the surroundings. To improve the results, an insulation material should be used around the block.
- If you are trying to determine the specific heat capacity of a liquid, then the liquid should be stirred before each measurement to ensure all the water is the same temperature. Additionally, a lid should be used, since heat rises this is one way thermal energy can be lost to the surroundings.
Further reading:
- Specific heat capacity – S-cool
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Thermal energy 2.3 Measuring specific heat capacity of a solid directly
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Spanish. Past Papers. CIE. Spanish Language & Literature. Past Papers. Other Subjects. Revision notes on 1.1.8 Required Practical: Investigating Specific Heat Capacity for the AQA GCSE Physics syllabus, written by the Physics experts at Save My Exams.
Designed by the teachers at SAVE MY EXAMS for the CIE A Level Physics (9702) syllabus. ... Specific heat capacity and latent heat capacity are described in Table 1.1. ... copper and water set up for an experiment in his laboratory where the room temperature is initially 20 °C. 500 J of heat energy is applied to each substance. ...
Save My Exams! - The Home of ... Page 1 Temp Changes, Specific Heat Capacity Question Paper Level GCSE (9-1) Subject Combined Science: Trilogy - Physics Exam Board AQA Topic 6.3 Particle Model of Matter Sub-Topic Temp Changes, Specific Heat Capacity ... This experiment does not give the correct value for the specific heat of copper.
Save My Exams! The Home of Revision ... The specific heat capacity of water is 4200 J / (kg °C). ... Calculate the value of the specific heat capacity of aluminium given by this experiment. specific heat capacity = ..... [4] (c)In the experiment in (b), no attempt is made to prevent loss of thermal energy from the ...
1 Some water is heated electrically in a glass beaker in an experiment to find the specific heat capacity of water. The temperature of the water is taken at regular intervals. The temperature-time graph for this heating is shown in Fig. 4.1. 50 40 30 20 10 0 0 60 120 180 240 300 time / s 60 temperature / °C Fig. 4.1.....
The equation for the thermal energy transferred, Q, is then given by: Q = mcΔT. Where: m = mass of the substance in kilograms (kg); ΔT = change in temperature in kelvin (K) or degrees Celsius (°C); c = specific heat capacity of the substance (J kg -1 K -1); The specific heat capacity of a substance is defined as: The amount of energy required to change the temperature of 1 kg of a ...
An explanation on how to carry out specific heat capacity which is a required practical based on the new spec from AQA, students must know how to carry out t...
Affordable 1:1 tutoring from the comfort of your home. Tutors are matched to your specific learning needs. 30+ school subjects covered. The specific heat capacity of a substance is the amount of energy needed to increase the temperature of 1 kg of that substance by 1°C.
Make sure you heat the metal block for at least 10 minutes; otherwise you will not be able to draw a graph with a good range of results. Don't forget to use your graph to find the gradient of the line. You will need this and the mass of the block to work out the specific het capacity of the metal. Analysing the results.
Save My Exams! - The Home of ... The specific heat capacity of iron is 450 J / kg °C. ... Before starting the experiment, the student drew Graph A. Graph A shows how the student expected the temperature of the metal block to change after the heater was switched on.
2.3 How to directly measure the specific heat capacity of a solid substance. The experiment apparatus and set-up for a block of solid material. You need a block of material of known mass eg 0.5 to 1.5 kg. So you need a mass balance. The block must be surrounded by a good layer of insulation to minimise heat losses to the surroundings.
The specific heat capacity is different for each liquid - e.g. it takes a different amount of heat energy to raise the temperature of water by 1°C compared to a different liquid.. If a large amount of energy is required to heat up a substance, then its specific heat capacity will be very high. These substances will be able to store lots of energy. If a small amount of energy is required to ...
Viva Voice. Q1. What is the heat? Ans: Heat is defined as the quality of being hot at high temperatures. Q2. Define the specific heat of the substance. Ans: It is defined as the amount of heat energy required to raise the temperature of 1 gram of a substance by 1℃. Q3. State the principle of calorimetry. Ans: The principle of calorimetry is heat lost is equal to the heat gained.
Chemistry document from University of the Cumberlands, 2 pages, Specific Heat Capacity Background Reading: p. 568-599 the Physics Text, PDF pages 585-617 (Week 1 Content folder) Objectives: Distinguish between temperature and heat. Examine the rate at which heat flows in different materials. Determine the relative spe
Save My Exams! - The Home of Revision For more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk Page 2 Q1.A student used the apparatus in Figure 1 to obtain the data needed to calculate the specific heat capacity of copper. Figure 1 The initial temperature of the copper block was measured. The power supply was switched on.
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Save My Exams! - The Home of Revision For more awesome GCSE and A level resources, visit us at www.savemyexams.co.uk Page 17 (i) Before starting the experiment, the student drew Graph A. Graph A shows how the student expected the temperature of the metal block to change after the heater was switched on. Describe the pattern shown in Graph A.