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First Law of Thermodynamics
Conservation of Energy for Thermal Systems
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Joule Equivalent of Heat
James Joule showed that mechanical energy could be converted to heat and arrived at the conclusion that heat was another form of energy. He showed that 1 calorie of heat was equivalent to J of work. 1 cal = J
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Energy Mechanical Energy: KE, PE, E Work is done by energy transfer.
Heat is another form of energy. Need to expand the conservation of energy principle to accommodate thermal systems.
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1st Law of Thermodynamics
Consider an example system of a piston and cylinder with an enclosed dilute gas characterized by P,V,T & n.
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1st Law of Thermodynamics
What happens to the gas if the piston is moved inwards?
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1st Law of Thermodynamics
If the container is insulated the temperature will rise, the atoms move faster and the pressure rises. Is there more internal energy in the gas?
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1st Law of Thermodynamics
External agent did work in pushing the piston inward. W = Fd =(PA)Dx W =PDV Dx
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1st Law of Thermodynamics
Work done on the gas equals the change in the gases internal energy, W = DU Dx
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1st Law of TD Let’s change the situation:
Keep the piston fixed at its original location. Place the cylinder on a hot plate. What happens to gas?
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Heat flows into the gas. Atoms move faster, internal energy increases. Q = heat in Joules DU = change in internal energy in Joules. Q = DU
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1st Law of TD F What if we added heat and pushed the piston in at the same time?
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1st Law of TD Work is done on the gas, heat is added to the gas and the internal energy of the gas increases! Q = W + DU F
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1st Law of TD Some conventions: For the gases perspective:
heat added is positive, heat removed is negative. Work done on the gas is positive, work done by the gas is negative. Temperature increase means internal energy change is positive.
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