Thermo & Stat Mech - Spring 2006 Class 5 1 Thermodynamics and Statistical Mechanics Heat Engines and Refrigerators.

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Presentation transcript:

Thermo & Stat Mech - Spring 2006 Class 5 1 Thermodynamics and Statistical Mechanics Heat Engines and Refrigerators

Thermo & Stat Mech - Spring 2006 Class 52 Carnot Cycle A Carnot cycle is an idealized reversible cycle that operates between two heat reservoirs at temperatures T 1 and T 2, where T 2 > T 1. It can operate as a heat engine, or a refrigerator.

Thermo & Stat Mech - Spring 2006 Class 53 Carnot Cycle

Thermo & Stat Mech - Spring 2006 Class 54 Carnot Cycle (Heat Engine)

Thermo & Stat Mech - Spring 2006 Class 55 Carnot Cycle

Thermo & Stat Mech - Spring 2006 Class 56 Carnot Cycle For the entire cycle, Q = W +  U, and  U = 0. The total heat equals the total work, Q = W. |W| = |Q 2 | – |Q 1 | Conservation of energy. |Q 2 | = |Q 1 | + |W|

Thermo & Stat Mech - Spring 2006 Class 57 Carnot Cycle For an isothermal process: For an adiabatic process:

Thermo & Stat Mech - Spring 2006 Class 58 Path a  b

Thermo & Stat Mech - Spring 2006 Class 59 Paths b  c, c  d, and d  a

Thermo & Stat Mech - Spring 2006 Class 510 Carnot Cycle Divide a  b by c  d and then b  c by d  a, and

Thermo & Stat Mech - Spring 2006 Class 511 Thermal Efficiency (  ) If T 1 = 0,  = 1 (100%)

Thermo & Stat Mech - Spring 2006 Class 512 Refrigerator (Heat Pump) Run the cycle in reverse. Do work |W| on the system, remove |Q 1 | from the low temperature reservoir, and put |Q 2 | into the high temperature reservoir. As in a heat engine, |Q 2 | = |Q 1 | + |W|.

Thermo & Stat Mech - Spring 2006 Class 513 Coefficient of Performance (for Refrigerator)

Thermo & Stat Mech - Spring 2006 Class 514 Coefficient of Performance (for Heat Pump)

Thermo & Stat Mech - Spring 2006 Class 515 Otto Cycle (Gasoline Engine)

Thermo & Stat Mech - Spring 2006 Class 516 Otto Cycle W = |Q 2 | – |Q 1 | |Q 2 | = C V (T c – T b ) |Q 1 | = C V (T d – T a )

Thermo & Stat Mech - Spring 2006 Class 517 Otto Cycle

Thermo & Stat Mech - Spring 2006 Class 518 Otto Cycle and Subtract, and get, Then,

Thermo & Stat Mech - Spring 2006 Class 519 Otto Cycle is called the compression ratio.

Thermo & Stat Mech - Spring 2006 Class 520 Diesel Cycle