LECTURE 11
11.1 Second Law of Thermodynamics

The first law of thermodynamics requires that energy be conserved during a process, but place no restriction on the direction of a process. Satisfying the first law does not ensure that a process will actually occur.

The inadequacy of the first law to identify whether a process can take place is remedied by introducing the second law of thermodynamics. With the help of a property, called entropy, we can identify if a process violate the second law.

A process will not occur unless it satisfies both the first and the second laws of thermodynamics.

The first law is concerned with the quantity of energy only.

The second law asserts that:
1. Process occurs in a certain direction.
2. Energy has quality as well as quantity.

11.1.1 Thermal Energy Reservoir
Thermal energy reservoir is a hypothetical body with a relatively large thermal energy capacity that can supply or absorb finite amount of energy as heat without undergoing any change in temperature. Examples of thermal energy reservoir are atmosphere, lake, river, and ocean.
A reservoir that supplies energy in the form of heat is called a source, and one that absorbs energy in the form of heat is called a sink.

 

 

 

11.1.2 Thermal Pollution
Mismanagement of the waste energy can significantly increase the temperature of the environment. It can disrupt marine life in the oceans, lakes and rivers. On the other hand, a careful handling of the waste energy, one can actually improve the quality of marine life by keeping the temperature at a desirable level.
11.1.3 Heat Engines


Work can be converted to heat directly and completely, but converting heat to work requires the use of some devices. These devices are called heat engines.


Characteristics of Heat Engines:
1. They receive heat from a high-temperature source.
2. They convert part of this heat to work.
3. They reject the remaining waste heat to low-temperature sink.
4. They operate on a cycle.


Thermodynamic cycle
Mechanical cycle - the working fluid does not undergo a complete cycle.

Components of a power plant: open systems
Power plant: closed system

Thermal Efficiency

The extent of the energy conversion from heat to work
 
Thermal Efficiency
Automobile Engine
20%
Diesel Engine
30%
Gas Turbine
30%
Steam Power Plant
40%

 

11.2 Second Law of Thermodynamics: Kelvin-Planck Statement

Kelvin-Planck Statement
It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce an equivalent amount of work.

A heat engine must exchange heat with a low-temperature sink as well as a high-temperature source to keep operating.

No heat engine can have a thermal efficiency of 100%.

Note that the impossibility of having a 100 percent efficiency heat engine is not due to friction or other dissipative effects.

11.2.1 Refrigerators

The transfer of heat from a low-temperature medium to a high- temperature one requires special devices called refrigerators (heat pumps).

Refrigerators, like heat engines, are cyclic devices. The working fluid in the refrigeration cycle is called a refrigerant.

Freezer compartment : evaporator
Coils (behind refrigerator) : condenser







Coefficient of Performance

 

11.2.2 Heat Pumps

Refrigerators and heat pumps operate on the same cycle but differ in their objectives.


The objective of a refrigerator is to maintain the refrigerated space at a low temperature by removing heat from it. Discharging this heat to a higher temperature medium is merely a necessary part of the operation, not the purpose. The objective of a heat pump, however, is to maintain a heated space at a high temperature. This is accomplished by absorbing heat from a low-temperature source and supplying this heat to the high-temperature medium.



Coefficient of Performance

Heat Pumps COP: 2-3
Air Conditioners : Refrigerators

11.3 Second Law of Thermodynamics: Clausius Statement

Clausius Statement
It is impossible to construct a device that operates on a cycle to and produces no effect other than the transfer of heat from a lower temperature body to a higher temperature body.

11.4 Equivalence of the Two Statements


A violation of the Kelvin-Planck statement leads to the violation of the Clausius statement

A violation of the Clausius statement leads to the violation of the Kelvin-Planck statement