Notes%2010.27.10

# Notes%2010.27.10 - Carnot Cycle Composed of four internally...

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1 Carnot Cycle Composed of four internally reversible processes. Two isothermal processes Two adiabatic processes

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2 Carnot cycle for a gas . T L =const
3 The Carnot cycle for a gas might occur as visualized below. T L Q L

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4 This is a Carnot cycle involving two phases--it is still two adiabatic processes and two isothermal processes. It is always reversible--a Carnot cycle is reversible by definition. It is the most efficient cycle operating between two temperature limits. T L T L T L
5 Carnot refrigeration cycle for a gas .

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6 Analytical form of KP Statement: Conservation of Energy for a cycle says E = 0 = Q cycle - W cycle , or Q cycle = W cycle We have not limited the number of heat reservoirs (or work interactions, for that matter). Q cycle could be Q H - Q C , for example.
7 Analytical form of KP statement. Let us limit ourselves to the special case of one TER (thermal energy reservoir): TER HE W Q

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8 Analytical form of the KP statement. However, it would not violate the KP statement if work were done on the system during the cycle, or if work were zero. ) reservoir gle (sin 0 W cycle ) reservoir gle (sin 0 Q , Also cycle These are analytical forms of the KP statement.
9 Analytical forms of the KP statement. Both the equations may be regarded as analytical forms of the KP statement. It can be shown that the equality applies to reversible processes and that the inequality applies to irreversible processes.

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10 Carnot’s first principle The thermal efficiency of an irreversible power cycle is always less than the thermal efficiency of a reversible power cycle when each operates between the same two reservoirs.
11 R I Q H Q H W I W R Q C =Q H -W R I H C W Q Q - = Hot reservoir Cold reservoir

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Notes%2010.27.10 - Carnot Cycle Composed of four internally...

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