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Thermal Energy and Heat
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Temperature Particle level kinetic energy
A measure of the average kinetic energy of the atoms or molecules of a substance Temperature increases if the motion of the particles increases
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Thermal Energy (Q) Particle level Mechanical (total) Energy
Total kinetic and potential energy of a system’s particles
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Heat Particle level WORK The transfer of thermal energy
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Methods of Heat Transfer
Conduction Heat transfer through a material by collision of atoms Particles in flame gain kinetic energy and start moving faster – they collide with neighbouring atoms making them move more rapidly and heat spreads Occurs well in metals
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Methods of Heat Transfer
Convection the process of transferring heat by a circulating path of fluid particles – called a convection current Hot fluid spreads out and moves upwards, cooler fluid takes its place creating a current
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Methods of Heat Transfer
Radiation Energy transfer by electromagnetic waves – no particles are necessary i.e. visible, radio, micro, UV, infrared, X-rays
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Calculating Heat We use Specific Heat Capacity (c) Unit: J/(kg ·oC)
A measure of the amount of energy needed to raise the temperature of 1.0kg of a substance by 1.0oC Different for every substance cwater – 4.18 x 103 J/(kg ·oC)
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Q = mcΔt Calculating Heat Q = heat (J) m = mass (kg)
c – specific heat capacity J/(kg ·oC) Δt – change in temp – Δt = tf - ti
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Ex 1: What is the mass of a bucket of water that requires 8
Ex 1: What is the mass of a bucket of water that requires 8.4 x 104 J of heat to increase its temperature from 12oC to 22oC? Ans: m = 2.0 kg
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Latent Heat
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What has more energy? Water at 10oC or water at 50oC? Cooler particles move slower (less kinetic energy) Hotter particles move faster (more kinetic energy)
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Liquids are higher energy
What has more energy? Ice at 0oC or water at 0oC? Solid – Highly structured, particles are trapped, little motion Liquid – Less structured, particles can move, more motion Liquids are higher energy
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Latent Heat the energy released or absorbed during a change in state
“latent” means “hidden” – the energy is hidden in the bonds between molecules there is no temperature change during a change in state
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Specific Latent Heat – the heat required for a particular mass of substance to change state
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Q = ml Q = heat energy (J/kg) m = mass (kg)
l = specific latent heat (J)
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Specific Heat of Fusion
the quantity of heat required to melt/freeze 1kg of a substance without changing the temperature
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Specific Heat of Vaporization
the quantity of heat required to vaporize/condense 1kg of a substance without changing the temperature
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Using the latent heat values from your sheet:
How much energy is required to turn 29.0g of solid oxygen at -219oC into liquid oxygen at - 219oC? Ans: Q = 403J How much energy is required to turn a 50g, 0oC ice cube into 0oC water? Ans: Q = 1.7x104J
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Consider an ice cube melting
Below 0oC the ice is solid, heat energy from the surroundings increases the temperature of the ice As the ice melts, the heat energy is used to break the forces of attraction that hold the ice in a solid crystal lattice (no temperature change) Once the ice is melted, the heat energy from the surroundings can be used to increase the temperature of the water
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0C Ice Add Latent Heat 0 C Water
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Consider an ice cube melting
As the water reaches 100oC, the heat energy will stop raising the temperature and be used to break the forces of attraction in order to turn the liquid into a gas
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0C Ice Add Latent Heat 0 C Water
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Applications of the Latent Heat of Water
Water has one of the largest specific latent heats of fusion (melting) of all substances: 333kJ/kg this means that 333 kJ of heat must be absorbed to melt 1kg of ice this makes ice a good refrigerant in coolers When water freezes it releases energy into the surroundings (333kJ for every kg) farmers use this to protect their crops from frost: they water the plants and as the water freezes it gives 333kJ/kg worth of heat E to the plant to warm it up
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Applications of the Latent Heat of Water
A burn from steam is worse than a burn from boiling water! when water condense on a person's skin, 2268 J of energy is transferred to the skin
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Sample Problem: How much energy is required to turn 60 g of oC ice into 50oC water?
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Principle of Heat Exchange
When heat is transferred from one body to another, the amount of heat lost by the hot body equals the amount of heat gained by the cool body Qlost + Qgained = 0 OR: m1c1Δt1 (heat lost) + m2c2Δt2 (heat gained) = 0
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Principle of Heat Exchange
When heat is transferred from one object to another, it usually flows from the hotter object to the cooler one
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A gunsmith is making homemade bullets of melted lead
A gunsmith is making homemade bullets of melted lead. After he creates the 2.3kg bullet, it has a temperature of 1680oC. He submerges it into 25kg of 20oC water to cool it down and let it harden. What is the final temperature of both the lead and the water? Ans: Tf =26oC cwater – 4.18 x 103 J/(kg ·oC) clead – 1.60 x 102 J/(kg ·oC) Heat Transfer
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Solution
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More on latent heat:
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Graph of Temperature vs Heat absorbed to melt an ice cube
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A: Heat is absorbed by the surroundings to raise the temp. of the ice
B: Temperature doesn't change – energy is used to break forces of attraction within the solid to turn it into a liquid C: Heat is absorbed by the surroundings to raise the temp of the water. D: Temperature doesn't change – energy is used to break forces of attraction within the liquid to turn it into a gas E: Heat is absorbed by the surroundings to raise the temperature of the gas
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