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Second Law of Thermodynamics Entropy
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Entropy (S) quantitative measure of disorder
adding heat to a body increases entropy entropy increases in free expansion *heat is more disordering to a cold object than to a hot object
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2nd law of thermodynamics
“The total entropy of an isolated system that undergoes a change cannot decrease.” *An isolated system cannot exchange energy and matter with its surroundings.
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decrease in entropy Mix H20 at 0C and H20 at 100C Airconditioner
H20 at 0C increases in entropy H20 at 100C decreases in entropy Airconditioner lowers the entropy of your home raises the entropy of the outside air
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total change in entropy
Mix H20 at 0C and H20 at 100C STOTAL = SC + SH SC > 0, SH <0 STOTAL = |SC| - |SH| *|SC| > |SH| STOTAL > 0
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Irreversible Process process that proceed spontaneously in one direction but not the other flow of heat from warm to cold free expansion mechanical energy friction
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ENGINE Working substance absorbs heat from the hot reservoir
Performs some mechanical work Discards the remaining energy in the form of heat into the cold reservoir *cyclic process Knight 7
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engine statement of 2nd law
No device is possible whose sole effect is to transform a given amount of heat completely into work. Knight
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ST<0, violates 2nd law ST = -|SHR| + 0 + |SCR| > 0
entropy in engines If there is no cold reservoir ST = SHR + SWS * SHR<0 : HR lost heat to WS *SWS=0 : after one cycle ST<0, violates 2nd law Heat must be introduced to a cold reservoir, SCR>0 , and in such a way that |SCR|>|SHR| ST = SHR + SWS + SCR ST = -|SHR| |SCR| > 0
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since a little heat is disordering to the cold reservoir, much less heat can be delivered to the cold reservoir than that removed from hot reservoir |QH|>|QC| the lower the temperature of CR, less heat |QC| is required to satisfy 2nd law
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refrigerator statement of 2nd law
Heat will not flow spontaneously from a cold object to a hot object Knight
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entropy in refrigerators
If there is no work input ST = SCR + SF + SHR * SCR<0 : CR lost heat to fluid * SF=0 : after one cycle * SHR>0 : HR absorbed heat from fluid Since |SCR|>|SHR|: ST < 0, violates 2nd law
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energy from work is delivered into HR, further increasing its entropy
If there is work input energy from work is delivered into HR, further increasing its entropy work is required in order to achieve |SCR|<|SHR| ST = SCR + SF + SHR = -|SCR| |SHR| > 0
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