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### ENTROPY

### ENTROPY

### ENTROPY

Second Law is not Conserved

Second Law is not Conserved

Total entropy of the universe is increasing.

ΔS = ΔSSYST + SENVIR > 0

Second Law is not Conserved

Total entropy of the universe is increasing.

ΔS = ΔSSYST + SENVIR > 0

“All unused energy goes into the great sea of Entropy” K. Maring

ENTROPY

- Order Disorder

ENTROPY

- Order Disorder
- High T Low T while there is a ΔT

ENTROPY

- Order Disorder
- High T Low T while there is a ΔT
- Afterwards they mix and there is no useful work done.

ENTROPY

- Order Disorder
- High T Low T while there is a ΔT
- Afterwards they mix and there is no useful work done.
- Gases liquids solids cold dark solid

ENTROPY

- Order Disorder
- High T Low T while there is a ΔT
- Afterwards they mix and there is no useful work done.
- Gases liquids solids cold dark solid
- DNA has order, but it uses energy and that used energy has the increase in entropy.

ENTROPY

- Order Disorder
- High T Low T while there is a ΔT
- Afterwards they mix and there is no useful work done.
- Gases liquids solids cold dark solid
- DNA has order, but it uses energy and that used energy has the increase in entropy.
- End state Heat death of matter.

- Largest increase in entropy came after the BIG BANG
- Temp was 1044 K 3K

- Largest increase in entropy came after the BIG BANG
- Temp was 1044 K 3K
- Much matter has gone through an entropy change and is now been observed.

- Largest increase in entropy came after the BIG BANG
- Temp was 1044 K 3K
- Much matter has gone through an entropy change and is now been observed.
- The WMAP (Wilkinson Microwave Anisotropic Probe) Mapping the cold dark matter in the universe.

- Largest increase in entropy came after the BIG BANG
- Temp was 1044 K 3K
- Much matter has gone through an entropy change and is now been observed.
- The WMAP (Wilkinson Microwave Anisotropic Probe) Mapping the cold dark matter in the universe.
- European Space Agency – Planck Mission

ENTROPY

- WMAP Web Link at Goddard Space Flt Ctr
- http://map.gsfc.nasa.gov/index.html
- Results H = 70.9 km/s/MPc ( Pub 2007)
- Matter in the Universe
- http://hyperphysics.phy-astr.gsu.edu/hbase/astro/wmap.html
- Hubble Telescope - Evidence for Dark Energy
- http://hubblesite.org/newscenter/archive/releases/category/

ENTROPY

- Results H = 70.9 km/s/MPc ( Pub 2007)
- Typically T = 1/H = 13.7 x 109 y age of our universe.

ENTROPY

- Results H = 70.9 km/s/MPc ( Pub 2007)
- Typically T = 1/H = 13.7 x 109 y age of our universe.
- END - Fishbane, Gasiorowicz and Thorton

TRANSITION TO Schroeder

- Symbols will change – careful

TRANSITION TO Schroeder

- Symbols will change – careful
- Equations will have slight changes One example see p.18

TRANSITION TO Schroeder

- Symbols will change – careful
- Equations will have slight changes One example see p.18
- We will be using partial differential equations to define Thermodynamic variables.

TRANSITION TO Schroeder

- Symbols will change – careful
- Equations will have slight changes One example see p.18
- We will be using partial differential equations to define Thermodynamic variables.
- I’ll will attempt to go over those changes.

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