Molecular flux-thermodynamic kinetics

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SUMMARY

The discussion focuses on the molecular flux and thermodynamic kinetics involving a partitioned volume containing N atoms of mass m. The key equations derived include the molecular flux equation, Φ = Δ/ΔA * Δt, and the expression for the number of atoms, N = N₀e^(vAt/4V). The solution was challenged regarding its validity as time approaches infinity, indicating a need for further analysis of the boundary conditions and the behavior of atoms in free space.

PREREQUISITES
  • Understanding of molecular flux concepts
  • Familiarity with thermodynamic kinetics
  • Basic knowledge of differential equations
  • Experience with exponential functions in physics
NEXT STEPS
  • Study the derivation of molecular flux equations in kinetic theory
  • Explore the implications of boundary conditions in thermodynamic systems
  • Learn about the behavior of gases in free space and its impact on molecular dynamics
  • Investigate the mathematical treatment of exponential decay in physical systems
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This discussion is beneficial for physics students, researchers in thermodynamics, and professionals working in molecular kinetics and statistical mechanics.

oxman
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Molecular flux--thermodynamic kinetics

Homework Statement



A volume is divided into two equal parts by a partition. The left volume has N atoms. The atoms have a mass m. A hole of area A is made in the partition at time t=0

A)Develop an expression for the number of white atoms on each side of the partition at time t.
B)Check your answer when t-->infinity and when t-->0
C) If the right volume is just free space how is your answer changed?



Homework Equations



\Phi=\Delta/\DeltaA
*\Deltat

Phi= 1/4(v)n where n=N/V

The Attempt at a Solution



i got N=Noe^(vAt/4V) my teacher says this is wrong if i take t-->infinity...im pretty sure what i solved for is correct tho...
 
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phi= dN/dAdt ***
 

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