Specific Heat Capacity

This lesson covers:

  1. What 'internal energy' is
  2. What 'specific heat capacity' is
  3. How to use the specific heat capacity equation to calculate a change in internal energy

Internal energy is the total energy stored by the particles making up a substance or system.


Which two stores is it comprised of? 

Frictional energy stores 

Potential energy stores

Kinetic energy stores

0

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2

gas / liquid / solid / particles


Temperature is a measure of the average kinetic energy of the in a substance.


  1. The particles in a have kinetic energy because they are vibrating.
  2. The particles in a or gas have kinetic energy because they move around.
particles
solid
liquid

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3

Specific heat capacity is the amount of required to raise the of 1 kg of a substance by 1 °C.


However, it can also be thought of as the amount energy released by a substance as it cools. 

energy
temperature

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2

The formula for calculating a change in internal energy is:

(Remember that θ\theta and TT both mean temperature, and Δ means change) 

ΔE = 12mcΔθΔE\ =\ \frac{1}{2}mcΔ\theta

ΔE = mcΔθΔE\ =\ mcΔ\theta

ΔE = mθΔE\ =\ m\theta

ΔE = mLΔE\ =\ mL

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1

In physics, energy change is measured in and mass is measured in .

joules
kilograms

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2

A kettle with 0.05 kg of water was heated from 25 °C, to the boiling temperature of 100 °C.


The specific heat capacity of water is 4,200 J/kg°C


How much heat energy is required?

15750

J

J

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1

A material with a higher specific heat capacity requires:

Less energy to change its temperature

More energy to change its temperature

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Illustration of a beaker of water being heated with a Bunsen burner.

A beaker of water with a mass of 250g was heated until its internal energy increased by 21 kJ.


If the water's original temperature was 24 °C, what is its final temperature?

(Specific heat capacity of water is 4,200 J/kg°C)

44

°C

°C

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To heat 20g of aluminium by 1*C requires 18 J of energy. To heat the same amount of gold only requires 2.6 J. 


Which element must have higher specific heat capacity? 

(You don't have to do any calculations)

Aluminium 

Gold

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A lump of gold with a mass of 20g was heated to 53 °C, and then allowed to cool down to 28 °C.


If gold's specific heat capacity is 130 J/kg°C, how much internal energy did it lose in the cooling process?

65

J

J

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1