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GCSE level Physics exam revision notes on specific heat
Thermal energy - specific heat capacity: Part 2.1
Explaining and defining the specific heat
capacity of materials and the calculation formula with units for thermal (heat)
energy transfer
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See also 2.2
Worked out
practice questions
involving specific heat
INDEX for my physics notes on specific
heat capacity
2.1A
Explaining and defining the specific heat
capacity of materials
Whenever any material is heated to a higher temperature
you increase the thermal energy store
of the material.
A measure of how much energy is needed to raise the
temperature of a given amount of material to a specific temperature is called the heat capacity
of the material.
The
specific heat capacity of
a substance can be defined as the amount of energy required to change the temperature of
one kilogram of the substance by one degree Celsius.
From the specific heat capacity of a
material, the amount of material and the temperature change the material
experiences, you can calculate the increase or decrease of that material's
thermal energy store.
It's a good idea to read
Examples of energy store conversions in systems first
and
Specific latent
heat is dealt with in a separate section
Whenever you get an increase in
temperature of a system, energy must be transferred from one energy store to
another.
However, for the same quantity of
heat energy transferred, the temperature rise will vary.
The temperature rise will depends on
the amount of material heated and its structure.
Don't confuse heat and temperature!
When some object is heated, the
thermal energy ('heat') transferred increases the thermal energy
store of the object.
The temperature increases, but
the temperature only indicates how hot or cold the object is.
When you heat a material, thermal energy is
absorbed and its
internal energy is increased
due to an increase in its
thermal energy and potential energy stores.
At a particle level
this is due to:
(i)
An increase in the kinetic energy
store caused by increased vibration of solid particles or increased kinetic energy of the free movement
of liquid and gas particles from one place to another.
From kinetic particle theory, a
temperature value is a measure of the average kinetic energy of the
particles - much of the average internal energy of the material.
(ii)
An increase in the potential
energy caused by the increase in kinetic energy opposing the
inter-particle forces of attraction - the particles on average a bit
further apart with increase in temperature.
The internal energy store is the sum of
the kinetic energy store plus the potential energy store - the latter can
often be ignored in the situations described here concerning heat capacity.
The energy transferred to a given material
acting as a thermal energy store to raise its temperature by a specific amount can vary quite widely.
e.g. you need over four
times more heat energy to raise a given mass of water to specified temperature
than that for the same mass of central heating oil or aluminium (they have
different specific heat capacities - but more on this later).
Application: Solar panels may contain
water that is heated by radiation from the Sun.
Water has a high heat capacity
and can store a lot of thermal energy.
This water may then be used to
heat buildings or provide domestic hot water.
Water is the usual conveyer of
thermal energy in central heating systems.
Water is a very good thermal
energy store in a hot bottle for cold winter nights in bed.
Different substances store different amounts
of thermal energy per kilogram for each °C temperature rise.
To put it another way, different
materials require different amounts of heat energy to raise a given
amount of material by the same increase in temperature.
This is called the specific heat capacity and varies from material to material, whether it be a gas,
liquid or a solid - its all to do with the nature and arrangement of the
particles - atoms, ions or molecules.
Materials with a high heat capacity will
release lots of heat energy when cooling down from a higher to a lower
temperature.
The
specific heat capacity (SHC
or just c) of
a substance is the amount of energy required to change the temperature of
one kilogram of the substance by one degree Celsius.
This is a way of
quantifying an increase or decrease in a material's thermal energy store.
INDEX for my physics notes on specific
heat capacity
2.1B Thermal energy transfer equation
The formula for expressing the
amount of heat energy transferred
between energy stores is given by the equation.
change in thermal energy store (J) = mass
(kg) x specific heat capacity (J/kgoC) x change in temperature (oC)
∆E = ∆Q = m x c x ∆θ
∆E
or
∆E
= energy transferred in Joules (change in thermal energy)
m = mass of material in kilograms kg
c = SHC = specific heat
capacity J/kgoC,
∆θ =
∆T = temperature change in Celsius oC
The specific heat capacity of
water is 4180 J/kgoC (Joules per kilogram per degree),
this means it takes 4180 J of heat energy
to raise the temperature of 1 kg of water by 1oC.
See 2.2
for Worked
out practice questions
involving specific heat ....
... where you
have to use the formula and correct units described above and you MUST
be able to rearrange the equation.
The amount of energy stored in
(transferred to) or
released from a system as its temperature changes can be calculated using
the above equation.
Other specific heat capacity values (J/kgoC):
ice 2100, aluminium 902, concrete 800,
glass 670, steel 450, brass 380, copper 385, lead 130
Because
each material has a different
specific heat capacity, although you can heat the same mass of substance from one
temperature to another, you cannot assume they store the same amount of
thermal heat energy per kilogram.
The materials with the highest heat
capacity will store the most thermal energy per kilogram for the same
increase in temperature - they are effectively a more concentrated
thermal energy store.
Conversely, when allowing materials
to cool, the materials with the highest specific heat capacity will
release more thermal energy per kilogram for the same decrease in
temperature.
Be able to evaluate
the use of different materials according to their specific heat capacities.
The heat specific heat capacity
in simple terms is how much energy (J) is needed to heat a specific mass (1
kg) by one degree oC.
Examples may have studied
include the use of water, which has a very high
specific heat capacity,
oil-filled radiators and
electric storage heaters containing concrete or bricks.
INDEX for my physics notes on specific
heat capacity
Thermal energy and heat capacity:
2.1C More
examples of uses, importance and applications of
specific heat capacity data - thermal energy storage systems and energy transfers
Applications of specific heat capacity data - examples of thermal energy storage systems
- what makes a good thermal energy store and how are they used
The greater the heat capacity of
a material, the more heat energy it can hold for a given mass of material.
This means that high heat
capacity materials can store lots of energy when heated and can then release
a lot if cooled down. In other words, materials with a high specific heat
capacity are good for storing heat energy - a good material for a thermal
energy store.
Materials used in
heaters/heating systems, usually have a high specific heat capacity eg water
(SHC H2O = 4180 J/kgoC, very high) is used in central heating systems
and is easily pumped
around house to distribute lots of heat where needed, an excellent 'mobile'
thermal energy store.
Water is also used as a coolant in
car engines because it can absorb a lot of thermal energy for a given
temperature increase. The thermal energy store of the engine block is
reduced and the thermal energy store of the water increased. The thermal
energy in the water is then transferred to the surrounding air to
increase its thermal energy store via the radiator grill.
The good old fashioned hot water
bottle is a nice convenient thermal energy store to heat up the bed.
Concrete (SHC 750-960 J/kgoC,
quite high) is used in night storage heaters (using cheap night-time
electricity).
The greater the mass of concrete, the greater
its rise in temperature rise (safely!) the greater its capacity to store
thermal energy, to be later released into the house in daytime..
Oil-filled
heaters are used for a small scale heat storage (SHC oil = 900 J/kgoC, not
as good as water) but will convect in the oil radiator and steadily release
heat.
An archaeological note!
Prehistoric man learned thousands of
years ago that hot stone retained a lot of thermal energy.
The heat capacity of natural stone is
usually around 840 J/kgoC.
Large stones were heated in a fire and
dropped into stone line cooking troughs like the one shown below.
The heat from the thermal energy store of
the stone increases the thermal energy store of the cooler water, so boiling
the water and cooking food like meat placed in the water filled trough.
It may seem crude, but brass cooking pots
were something of a luxury item for many prehistoric people!
This stone cooking trough is by the
Bronze age stone circle (shown below) at Drombeg, Co. Cork, Ireland.
Several of them were constructed on this
site and fed and connected by a diverted spring stream.
They can be found all over Ireland and
the UK, and presumably on continental Europe.
Native American Indians also used the
same technique by dropping hot stones into a wooden bowl of food and water.
INDEX for my physics notes on specific
heat capacity
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Key points Specific heat capacity:
Specific heat capacity explained and thermal energy transfer equation
Information
sources for Doc Brown's key points: IGCSE-GCSE physics are based on
textbooks & syllabus-specifications for students taking the UK AQA, Edexcel,
OCR 21st Century Science, OCR Gateway science suite, WJEC, CCEA and CIE GCSE
physics 9-1 level science examinations
A structured set of summary revision
notes on specific heat capacity tailored to
the major UK GCSE/IGCSE physics exam boards (WJEC, CCEA, CIE, AQA,
Edexcel, OCR), with tips and common misconceptions to help students
master this topic.
Specific Heat Capacity: Core Concept
Definition:
Specific heat capacity (SHC) is the amount of energy required to raise the
temperature of 1 kg of a substance by 1°C.
Formula:
ΔQ = mcΔθ
Where:
- ΔQ = thermal energy transferred (Joules)
- m = mass of the substance (kg)
- c (SHC) = specific heat capacity (J/kg°C)
- Δθ = temperature change (°C)
- This equation allows students to calculate how much energy is needed to
heat or cool a material.
Practical Applications of specific heat
capacity values
- Heating systems: Materials with high SHC (e.g. water)
are used in radiators and heat storage.
- Cooling systems: Metals with low SHC (e.g. copper,
aluminium) heat up and cool down quickly.
- Climate science: Oceans have high SHC, affecting
coastal temperatures.
- Engineering: SHC influences material choice in engines,
cookware, and insulation.
Typical Exam Board Coverage of specific heat
capacity values
|
Key Requirements |
| Use and rearrange
ΔQ = mcΔθ; interpret SHC in
context; practical investigations. |
| Apply SHC formula; understand energy transfer; evaluate materials
based on SHC. |
| Define SHC; calculate energy changes; link SHC to real-world
applications. |
| Use SHC in calculations; describe experiments to determine SHC. |
| Explain SHC; perform calculations; understand SHC in domestic
contexts. |
| Use SHC formula; describe experiments; apply SHC to energy transfer
scenarios. |
Student Tips about specific heat capacity
values
- Units matter: Always check mass is in kg and
temperature in °C.
- Rearrange confidently: Practice solving for any
variable in the SHC equation.
- Use context: Link SHC to practical examples like
heating water or cooling metals.
- Estimate energy: Know typical SHC values (e.g. water
≈ 4200 J/kg°C, copper ≈ 385 J/kg°C).
Common Misconceptions about specific heat
capacity values
- Confusing SHC with thermal conductivity: SHC is about
energy storage, not heat flow.
- Forgetting mass units: Using grams instead of
kilograms leads to incorrect answers.
- Assuming SHC is the same for all materials: It varies
widely—know key examples.
- Ignoring temperature change sign: A negative Δθ means
energy is lost, not gained.
More
on the many uses of specific heat capacity values
Here are some engaging and practical examples of
specific heat
capacity applications across everyday life, engineering, and science:
Use of specific heat capacity values in Everyday Life
- Hot water bottles: Water’s high specific heat keeps it
warm for hours, making it ideal for heat therapy.
- Cooking pots: Bases made of copper (low SHC) heat
quickly; handles made of plastic or wood (high SHC) stay cool.
- Home insulation: Materials with high SHC help regulate
indoor temperatures by absorbing and releasing heat slowly.
- Sea and land breezes: Water heats and cools more slowly
than land, creating coastal wind patterns.
Use of specific heat capacity values in Engineering & Industry
- Car engines: Water is used in cooling systems because
it absorbs large amounts of heat without a big temperature rise.
- Thermal radiators: High SHC fluids like water store and
release heat gradually to warm homes efficiently.
- Concrete buildings: Concrete’s high SHC helps stabilize
indoor temperatures, reducing heating/cooling costs.
- Factory design: Low ceilings reduce air volume and heat
capacity, lowering air conditioning energy use.
Use of specific heat capacity values in Environmental & Climate Science
- Moderate coastal climates: Oceans absorb heat during
the day and release it at night, buffering temperature swings.
- Climate modelling: SHC of oceans and atmosphere is
crucial for predicting heat distribution and weather patterns.
Use of specific heat capacity values in Scientific Research
- Calorimetry experiments: SHC is used to measure energy
changes in chemical reactions and phase transitions.
- Material testing: Engineers select materials based on
SHC for thermal management in electronics and machinery.
Keywords, phrases and learning objectives for specific heat capacity -
definition and an equation for heat transfer
Be able to explain and define what we mean by the specific heat capacity of
a materials
Be able to know and use the formula for energy
transfer in calculations involving specific heat capacity i.e.
know how to use the equation ∆E = m x c x ∆θ
and be able to rearrange it too.
Be able to explain examples of uses and applications of specific heat
capacity data e.g. comparing thermal energy storage systems , use of water
as a thermal
energy store and heat energy transfers between materials.
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