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TRANSPORT PROPERTIES Ch 30 Quantity Gradiant Laws Temperature Heat HOT

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TRANSPORT PROPERTIES Ch 30 Quantity Gradiant Laws Temperature Heat HOT - + Electrons Potential Mass Pressure Mass Concentration Momentum Velocity Flux = Jz = amount transported across unit area per s

2 Flux- Gases Transport is by discrete carriers and each carrier transports a finite amount In 1 second 1/6th of all molecules present in the box of dimensions will pass through the shaded area C z # of molecules traveling along ‘Z’ = 1 6 # of molecules crossing the face in one second = N C If each carrier transports quantity ‘q’

3 Potential Gradient in the System
HOT COLD T 2 1 T2 T1 Z T Z

4 Thermal Conductivity of an Ideal Gas – Part 1
Since heat is a manifestation of K.E. and is transported via collisions between carriers, we shall consider gas collisions & mean free path ‘ .’ Z C B A { Z+ Z- From ‘A’ to‘B’ = 1 6 N C 3 2 k [ T + Z - ] From ‘C’ to ‘B’ = 1 6 N C 3 2 k [ T + Z ] - 1 6 N C 3 2 k [ T Z ] =

5 Thermal Conductivity of an Ideal Gas – Part 2
[ - Net Flux = = 1 6 N C 3 2 k T Z ] = T Z = -

6  = 0 =2C =sqr2C Mean free path ‘ ’ Average distance traveled in 1s =
If ‘Z’, = number collisions per s,  = Consider a cylinder of radius,  , length In 1s, molecule will travel from one end to the other # collisions made by one molecule per s = But average relative velocity = = 0 =2C =sqr2C Relative Velocity Collision number = Mean free path =

7 Diffusion: substances diffuse from a high concentration region to a low concentration region.
Nz+ Nz Nz- Z x Net Flow Homework: Poizulle Formula & Viscosimeter


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