Thermodynamics and Statistical Mechanics Tds Equations Thermo Stat

Thermodynamics and Statistical Mechanics Tds Equations Thermo & Stat Mech Spring 2006 Class 7 1

Entropy and Available Energy Consider two identical bodies, each of mass m, and heat capacity c. P, but one at temperature T 1, and the other at temperature T 2. When placed in contact, heat flows from the hotter to the cooler, until they come to a common temperature, Thermo & Stat Mech - Spring 2006 Class 7 2

Entropy Change Thermo & Stat Mech - Spring 2006 Class 7 3

Entropy Increased Thermo & Stat Mech - Spring 2006 Class 7 4

“Lost” Work Run a Carnot engine between the two bodies. Thermo & Stat Mech - Spring 2006 Class 7 5

Amount of Work Thermo & Stat Mech - Spring 2006 Class 7 6

Tds Equations Thermo & Stat Mech - Spring 2006 Class 7 7

Internal Energy Tds = du + Pdv where u(T, v) Thermo & Stat Mech - Spring 2006 Class 7 8

Enthalpy Thermo & Stat Mech - Spring 2006 Class 7 9

First Tds Equation Thermo & Stat Mech - Spring 2006 Class 7 10

First Tds Equation (cont. ) Thermo & Stat Mech - Spring 2006 Class 7 11

First Tds Equation (cont. ) Thermo & Stat Mech - Spring 2006 Class 7 12

First Tds Equation (cont. ) Thermo & Stat Mech - Spring 2006 Class 7 13

c. P – cv Thermo & Stat Mech - Spring 2006 Class 7 14

c. P – cv Thermo & Stat Mech - Spring 2006 Class 7 15

Ideal Gas Thermo & Stat Mech - Spring 2006 Class 7 16

Ideal Gas Thermo & Stat Mech - Spring 2006 Class 7 17

Third Tds Equation Thermo & Stat Mech - Spring 2006 Class 7 18

Third Tds Equation Thermo & Stat Mech - Spring 2006 Class 7 19

Third Tds Equation Thermo & Stat Mech - Spring 2006 Class 7 20

Tds Equations Thermo & Stat Mech - Spring 2006 Class 7 21