Table of Contents
It is because it takes different amounts of energy (Joules) to heat 1 kg of different substances by 10C.
So, when different substances are exposed to the same amount of Heat energy, they will change Temperature by different amounts.
When the sun shines, it gives the same amount of energy to both the sand and the water.
They will absorb the same amount of energy, but for this amount of energy, the sand will increase its Temperature more.
This is because Sand has a lower "heat capacity" than water.
This is referred to as the substance's Specific Heat Capacity.
When you hop into your car in the afternoon, touch the different surfaces.
As long as they have all been in the same level of sunlight, they should all be the same temperature, right? But they are not
How about the beach, you walk barefoot on the grass and you watch out for prickles, but it is fine. Walk on the sand and your feet start burning, so you run to the water. The water is cooler. But why? Why is the grass cool, the sand scorching, and the water cold?
They have all been exposed to the same level of heat energy from the sun, so they should all be the same temperature...right?
However, they are not at the same temperature, so something is happening here...
The image above shows that for the same amount of heat energy (Joules), the sand is hotter. But why?
Heat Energy vs Temperature
Heat energy and temperature are separate but related concepts.
Temperature requires particles.
Heat energy can move from the sun to the Earth without any particles.
The sun will give the Earth a set amount of energy per hour. But different substances will get to different temperatures while sitting in the direct sunlight.
Imagine a playground next to the beach. The metal slide will be hot to touch, but the wood will not.
The things that get the hottest the fastest will also get the coldest the fastest. The hot metal slide will be a cold metal slide at night.
Things that heat up the fastest will also cool down the quickest.
Conversely, the things that take the longest to heat up will also take the longest to cool down. Think of your dinner, you are busy, so it starts to go cold - but different parts of your dinner will go colder faster than others. If you are having toast and baked beans for dinner, the toast will go colder faster than the baked beans. But likewise, it is quicker to turn bread into toast than to heat your baked beans.
So:
Heat energy - it is Energy e.g. Infrared Heat Waves from the Sun
Temperature - what happens to the substance when exposed to that Energy
Well, what happens to the substance when it is exposed to Heat Energy? Its molecules start moving Faster!
The faster molecules move, the more Kinetic Energy the molecules have.
So, for different substances, it takes different amounts of Heat Energy to force their molecules to move a certain amount (Kinetic Energy)
The more the molecules move, the more kinetic energy they have; thus the hotter the substance is to touch and the higher its Temperature.
As it says in the graphic scanned page below, Temperature is the Average Kinetic Energy of the Particles in a substance.
Heat Energy is the Total amount of energy of all the particles in the substance.
Have a watch of the above video, it is very very good
Also, if you go to the beach in the afternoon, at low tide, there are rock-pools. Which is warmer, the rock-pools or the ocean? Why?
So, the temperature results from the Kinetic Energy of the molecules in the substance.
Therefore, space has no temperature. But if you were in space in a "Temo" spacesuit, your molecules would absorb the heat energy and move faster. Thus, your temperature will increase to about 2000 °C. Have a watch of the video above.
Heat Energy is the Total amount of energy of all the particles in the substance.
So, imagine you are having a bath. There is a cup for pouring water on your head. You scoop a full cup of bathwater and then leave it on the ledge to the side.
The water in a 400C bath has the same Average kinetic energy as the water in a 400C cup of water. So, it has the same temperature.
But the bath has far greater Total Energy than the cup of water, because it has far greater total water.
Near the end of the bath you remember the cup of water, you pour it on your head to wash away the shampoo, but it is cold!. Both the bath and the cup are exposed to the bathroom atmosphere, so why has the water in the cup gone cold quicker?
It is because the cup of water had less total energy. So, as it was quicker for it to equalize with the bathroom atmosphere than it is for the bath water.
Bath Water Cooling Rate
Large Volume:
Bathwater contains a significant amount of water, requiring more energy to be released to the atmosphere to cool down. So it will take longer to cool down and equalize with the bathroom atmosphere.
Cup of water Cooling Rate:
Smaller Volume:
The water in a cup is in a much smaller volume, requiring less energy to be released to cool down. Therefore, it will cool down and equalize with the bathroom atmosphere more quickly.
For the same amount Heat Energy from the fire, the Iron Block will change its Temperature by the greatest amount because it has a lower heat capacity than water.
So it will take less energy to change the temperature of 1kg of Iron.
You put two things into the oven for 3 minutes on high:
Metal Roasting Dish
Stone Plate
You then get them out
Which one is hotter?
Which one cools down the fastest?
Why?
Things that heat up quickly will cool down quickly. Think of the metal dish. This is because they have a low specific heat capacity.
So, only small amounts of energy are needed to change their temperature
Give them small amounts of energy, and their temperature increases quickly
They release small amounts of energy, and their temperature drops quickly
Things that have a high heat capacity take ages to heat up. But also take a long time to cool down. Like the stone plate.
It takes a lot of energy for it to increase its temperature, so it does so slowly
It will then release this energy slowly, so its temperature will reduce slowly
This is why metal is used for your stove top, but stone is used for stone grills and Hangi.
Metal
Heats fast = low thermal capacity = cools fast
Stone
Heats slowly = high thermal capacity = cools slowly (eg stone)
The above video is actually REALLY good!
They actually explain the difference between stone and steel in a geeky Science way. You should watch it
The Thermal Capacity is how much energy a substance is capable of absorbing before its temperature increases by 10C
To put it another way:
It is the amount of energy (J) that 1Kg of a substance must absorb or release to change its temperature by 10C
To put it yet another way:
The heat capacity is unique to a particular substance. Different substances have different heat capacities. To calculate the heat capacity of a substance, you measure how much energy you need to use to change 1kg of the mass by 10C in temperature:
Heat capacity (c) = Energy (J) / (1kg x 10C)
Heat capacity (c) = Energy [J] / (Mass [kg] x temperature change [0C])
E (thermal) = mcΔT
The bigger the heat capacity number, the more energy it will take to heat up that substance. However, it will also take longer for that substance to release all that heat energy.
If we heat a block of metal with the same mass as a block of water, you will see that the metal will get hotter quicker for the same amount of energy and cool down quicker — this is because it has a lower heat capacity.
E (thermal) = mcΔT
But different metals have different Specific heat capacities.
So when exposed to the same amount of heat energy, they will take different amounts of time to reach a specific temperature.
If we take a kettle of boiling water and pour it into a cup. We then add a copper spoon and an aluminum spoon, which one will get hotter faster?
We can use the image to the side and see that the Specific Heat Capacities of the metals are as follows:
Copper: 390J per Kg per degree celcius
Aluminium: 910J per Kg per degree celsius
Energy: specific heat capacity x mass x change in temperature
Without doing the maths, we can see that it takes less energy for Copper to increase its temperature than it does Aluminium. So, it will be the Copper spoon that will get hot faster.
The interactive Below allows you to compare the Specific Heat Capacity of different substances.
Have a play and see what you discover
The interactive above allows you to compare the Specific Heat Capacity of different substances.
What did you discover?
These values show how much heat energy needs to be transferred to each substance for its temperature to increase by 1 degree Celcius
Of the substances sen here, it is water that requires the most energy
Water needs to absorb the most energy to increase its temperature by 10C
Likewise water will release the most energy to decrease its temperature by 10C. Which is why water is used in hot water bottles (rather than a warm lump of copper).
As you can see, each of the different 'states' of water have different Heat Capacities that are 'specific' for that state.
Notice also, that liquid water has a specific heat capacity of 4.2kJ per Kg per degree Celcius
Both of these YouTube clips are VERY good. I strongly recommend that you watch BOTH of them
Imagine that you are holding onto a piece of ice, it takes alot of energy from your hand to melt it. Because of this your hand will feel sore.
It takes a while even to start melting.
The ice will stay 'dry-ish' on your hand till the outside of it gets to the melting temperature of 0 degrees.
It will stay at 0 degrees while it melts, which takes ages
Once it has melted, the temperature will quickly increase towards your body temperature, and the challenge of holding ice is over.
The plateau in temperature at 0 degrees is because it takes more energy to melt ice than it does to either heat ice to its melting point, and it takes more energy to melt ice than it does to heat cold water.
A block of ice can NOT get any hotter than 0 degrees Celsius.
So, the block of ice may start at -10 degrees, heat to 0 degrees, and then stay at 0 degrees until it is all melted. The liquid water will warm quickly. When holding the block of ice, feel the liquid water that has melted; it is heating as it absorbs heat from your skin. However, the ice stays cold. Once it is all melted, the challenge of holding a block of ice is over, and the water on your hand will quickly heat and become warm.
Melting Ice takes way more energy than heating ice or heating water. That is why it makes your hand (or a glass of Coke) cold - it's absorbing heat energy away as it tries to get into thermal equilibrium with you
If we graphed the melting of ice, it would look like the graph at the top.
Watch the YouTube clip of the ice melting. What do you notice about the graph in the background?
The energy it takes to melt something is its 'latent heat capacity'
When something melts it needs to absorb the amount of energy per kg that is it is latent heat of fusion (the quantity of heat energy (J) required to melt or fuse a kilogram (kg) of that substance.
When something freezes, it needs to release that same amount of energy per kg.
So the latent heat of Fusion is the energy to melt OR freeze something
Melt = absorb latent heat of fusion energy
Freeze = release latent heat of fusion energy
Why would that be?
Why does ice need to absorb energy to melt and why does water need to release energy to freeze?
Watch the 3D molecular visualization video, does your answer explain what you see and visa versa?
Latent Heat Energy E = mL
Q and E(thermal) mean the same thing. Q = E(Thermal)
E = mL
The formula to work out how much energy it takes to change the state of something:
Heat Energy (Joules) = mass of substance (kg) x Latent Heat Energy (Joules per Kg)
The latent heat in Joules per kg is fixed for a substance.
For example, water has a Latent Heat of Fusion of 334KJ per Kg.
But water has a Latent Heat of Vaporisation of 2260KJ per Kg
This means you need less energy to melt snow than to evaporate water.
This is good, because if it was the same amount of energy then the earth would be a dry desert and all of the water would be in clouds.
As it says in the document to the side "To change from a solid to a liquid, the bonds holdiong the particles together only need to 'loosen' a small amount. For a liquid to become a gas, the bonds holding the particles together need to be broken completly. The latent heat of vaporisation is always greater than the latent heat of fusion for any given substance"
Notice that the values for lead are lower than water. This might seem that lead should be a liquid. however, the Latent Heat of Fusion only applies once a substance is AT its MELTING Temperature. So, for Lead the block must be at 327 degrees celcius before you can apply the Latent Heat of Fusion to it.
The melting of water is shown in the animation below. As you add heat energy the solid becomes a liquid. (it is exagerated as the liquid particles would be far closer together than shown here as they still have some attraction to each other)
The freezing of water is shown in the animation below. As you Remove liquid becomes a Solid. ( Again, it is exagerated as the liquid particles would be far closer together than shown here as they still have some attraction to each other)
(Latent Heat) E = mL + (Specific Heat Capacity) E = mcΔT
Advanced NCEA questions will ask you to calculate both the energy for state changes (latent heat) and the energy required to change the temperature (specific heat capacity).
For example:
Dylan is skiing, and he wants a drink. He takes a 1kg block of ice and heats it on his gas cooker till it is warm enough to drink.
The block of ice is at -100C. It is heated and melted and the water heated to 100C, ready to drink
How much energy is used in total?
Question 2: (your turn)
Anna is also skiing but in Siberia. She also wants a drink of Milo.
She takes a 1kg block of ice and heats it on his gas cooker till it is hot, ready for her milo
This block of ice is at -200C.
It is heated and melted and the water heated to 800C, ready to drink
How much energy is used in total?
---------------------------------------------------------------------------------------------
Hint, the Answer is: 710,680 J
I wrote it in white, so just highlight if you want the answer.
Also the answers for each part are as follows in white:
Calculation
1. Heating the Ice (-20°C to 0°C):
1 kg × 2,090 J/kg°C × 20°C = 41,800 J
2. Melting the Ice (at 0°C):
1 kg × 334,000 J/kg = 334,000 J
3. Heating the Water (0°C to 80°C):
1 kg × 4,186 J/kg°C × 80°C = 334,880 J
Final Sum
Total Energy = 41,800 J + 334,000 J + 334,880 J = 710,680 J
This is a multi-part question.
Part 1
First the ice heats from to its melting point at 0OC.
For this you would use the Specific Heat Capacity of Ice 2100J per Kg per C
E = mcΔT
E= 1kg x 2090J/(kgOC) x 10OC
E = 20,900J
Part 2
Then the ice melts. Its temperature remains at 0OC during the melting as shown on the graph, so there is no temperature value needed or used. Just mass and Latent Heat of Fusion for Ice. (Notice how massive this value is)
E = mL
E= 1kg x 334,000J/(kgOC)
E= 334,000J
Part 3
Then the water is liquid and its temperature rises to 10 °C. This requires the mass of water to absorb energy. As the ice melted, it became a mixture of liquid and solid, but the total energy needed to melt all of that solid has already been calculated above. Now we are considering the total amount of energy required to raise all the liquid to 10 °C, regardless of when any specific particle begins its journey.
So, the temperature starts at 0 °C and ends at 10 °C, meaning the temperature changes by 10°C. We have mass, and we have a temperature change; we can then obtain the specific heat capacity of water from the table.
(Notice it takes twice as much energy to heat water as ice)
E = mcΔT
E= 1kg x 4186J/(kgOC) x 10OC
E = 41,860J
Part 4
Now we just add them up.
Total Energy = Heating ice + melting ice + heating water
Total Energy = specific heat capacity of ice + Latent heat of fusion + specific heat capacity of water
Total Energy = mc(ice)ΔT + mL(fusion) + mc(water)ΔT
Total Energy = 20,900J + 334,000J + 41,860J
Total Energy = 396,760 J
Latent Heat
E = mL
Specific Heat Capacity
E = mcΔT
(Latent Heat) E = mL + (Specific Heat Capacity) E = mcΔT
(Latent Heat) E = mL + (Specific Heat Capacity) E = mcΔT
A student is experimenting with 250 g (0.250 kg) of a solid substance. They heat it from an initial temperature of 20°C until it has completely melted.
Data provided:
Specific heat capacity of the solid substance (c): 2100 J kg⁻¹ °C⁻¹
Melting point of the substance: 80°C
Latent heat of fusion of the substance (L): 180,000 J kg⁻¹
The above is the question. Copy and paste it into a document and try answering it
The answers are further down on this page
If you need help, this is how you could answer it - with some blanks for you to fill out to make it easier.
Break questions like this into their parts. This is an excellence-level question as it has multiple parts to it.
This is how to do answer it:
Part (a): Heating to Melting Point 🔥
First, let's calculate the heat energy needed to raise the substance's temperature from 20°C to its melting point of 80°C.
Write the formula:
Q=mcΔT
List your values:
m (mass) = 0.250 kg
c (specific heat capacity) = 2100 J kg⁻¹ °C⁻¹
ΔT (change in temperature) = 80°C - 20°C = ______ °C
Calculate the answer:
Q = ________ × ________ × ________
Q = ______________ J
The heat energy required is: _____________ J
Part (b): Melting the Substance 💧
Next, calculate the heat energy needed to melt the entire sample once it has reached its 80°C melting point. This happens at a constant temperature.
Write the formula:
Q=mL
List your values:
m (mass) = 0.250 kg
L (latent heat of fusion) = 180,000 J kg⁻¹
Calculate the answer:
Q = ________ × ______________
Q = ______________ J
The heat energy required is: _____________ J
Part (c): Total Energy ✅
Finally, find the total energy supplied by adding your answers from Part (a) and Part (b).
Write the formula: Total Energy = Energy from part (a) + Energy from part (b)
Calculate the total energy:
Total Energy = _____________ J + _____________ J
Total Energy = ______________ J
The total heat energy supplied was: _____________ J
(Latent Heat) E = mL + (Specific Heat Capacity) E = mcΔT
Q = mcΔT is the same as E (thermal) = mcΔT
Remember, Q = Energy (thermal).
So Q = mL is the same as E(thermal) = mL
NCEA worksheet
Part (a): Heating to Melting Point
ΔT = 60 °C Calculation: 0.250 × 2100 × 60 Answer: 31,500 J
Part (b): Melting the Substance
Calculation: 0.250 × 180,000 Answer: 45,000 J
Part (c): Total Energy
Calculation: 31,500 J + 45,000 J Answer: 76,500 J
Heat Energy will move from an area of high Heat Energy (Hot) to an area of low Heat Energy (cold) until equilibrium (equal temp) occurs.
It moves in 3 ways.
What are those 3 ways and how do they differ from each other?
Radiation
Heat Energy can move by Radiation
No atoms are needed
It moves in electromagnetic waves
Infra-red Radiation
E.g from the Sun to the Earth, heat energy moves as waves of infrared radiation
Black objects absorb radiant heat better, they also emit it better than white objects
This is why a chilly bin is white inside
Radiation is the transfer of heat through electromagnetic waves, primarily in the infrared part of the spectrum. Unlike conduction and convection, radiation does not require atoms to travel through.
This is how the Sun’s heat travels through the vacuum of space to reach Earth. Any object with a temperature above absolute zero emits thermal radiation.
Absorption and Emission: The color and texture of a surface influence how well it absorbs and emits radiant heat.
Dark, matte surfaces (like black paint) are excellent absorbers and emitters of thermal radiation.
Light, shiny surfaces (such as those found inside a chilly bin or an emergency blanket) are poor at absorbing and emitting heat, making them effective reflectors. This is why a chilly bin is often white or has a shiny interior—to reflect heat away and keep the contents cold.
What colour shirt is best to wear in the middle of summer, and which is the worst?
Convection
2. Heat Energy can move by Convection
Convection currents: heat rises, cold sinks
Liquids and gases: it involves flowing
fluid movement
How heat moves with an oil heater in your lounge, heat rises up to the ceiling, pushing down the cold air, which then gets hot. This takes time (so your heat pump is faster as it is pumping)
Also, the reason your kettle has its heating element on the bottom of the bottle, not the top
When a fluid is heated, it expands and becomes less dense, causing it to rise rapidly. As this happens, cooler, denser fluid sinks to take its place, resulting in a continuous and efficient convection current.
Consider how a room heater operates: warm air rises and effectively pushes cooler air down to be heated.
In a kettle, the heating element is strategically placed at the bottom, ensuring that the water heats efficiently as the warm water rises and the cooler water sinks. This process guarantees optimal heating throughout the entire kettle.
Conduction
3. Heat Energy can move by Conduction.
Solids: it involves touching
Conduction = Direct Contact
eg. wooden vs metal spoons in soup
The metal spoon will get hot, the wooden one will not
This is because the atoms in a metal are close together and can bump into each other, transferring the heat along the spoon.
The wooden spoon has a more random arrangement of atoms, so they are less efficient bumpers
Conduction is how heat energy is transferred through direct contact in solids, where particles are closely packed.
When one end of a solid is heated, its particles gain kinetic energy and vibrate more, passing these vibrations to neighboring particles, similar to a domino effect. This is why a metal spoon becomes hot when placed in hot soup.
Materials are classified as conductors or insulators based on heat transfer efficiency. Conductors, like metals, transfer heat well due to their mobile electrons. Insulators, such as wood or plastic, transfer heat poorly because their particles are less effective at passing vibrations.
These videos cover the three ways that heat can transfer
These pages are really good, have a read
Insulation is how to stop heat transfer
A house - what could you do to keep it warm?
Have a think, how each type of heat transfer can be minimized
Then highlight to see my white answers
Pinkbatts in the walls will reduce heat transfer by: Conduction
Underfloor polystyrene insulation will reduce: Conduction
Pinkbatts in the ceiling will reduce heat transfer by: Conduction and Convection
Double-glazed windows reduce heat transfer by: conduction and convection
Painting your roof a lighter colour will reduce heat loss by: radiation
Closing your curtains reduces heat transfer by: radiation
Closing your curtains stops: your neighbours from watching you
A Thermos
How is Conduction, Convection and Radiation reduced in a thermos?
If your frypan catches on fire. What should you do?
Just put the lid on it.
Some people panic and put water on it.
Watch what happens in the short clips to the side.
The longer explanatory clips are below
What does this have to do with heat transfer?